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4*x^2+4*x-4*sqrt(5x)+6-2*sqrt(5)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 _____ ___ 4*x + 4*x - 4*\/ 5*x + 6 - 2*\/ 5 = 0
$$\left(\left(- 4 \sqrt{5 x} + \left(4 x^{2} + 4 x\right)\right) + 6\right) - 2 \sqrt{5} = 0$$
Respuesta rápida
[src]
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/ / / 2 3
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/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___|
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------|
/ 10 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 10 4*\/ 5 \ 16 12 4 /
/ - -- - 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / 3 \/ 16 \/ 4 27 216 6 _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 3 _____________________________________________________________________________________________________________________________________________________
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/ / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ / / 2 3
/ / / 2 3 / / / / 2 3 / / / 3 / ___\\ / 2 \
/ / / / 3 / ___\\ / 2 \ / 2 \ / / / / / 3 / ___\\ / 2 \ / 2 \ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ |
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 |
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------|
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 /
/ 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / / / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - --------------------------
/ - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ / / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ \/ 16 \/ 4 27 216 6
/ 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ / / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________
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/ / / 2 3 / / / / 2 3
/ / / / 3 / ___\\ / 2 \ / / / / / 3 / ___\\ / 2 \
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ |
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------|
/ / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 /
/ 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - --------------------------
1 \/ \/ 16 \/ 4 27 216 6 \/ \/ \/ 16 \/ 4 27 216 6
x1 = - - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{1} = - \frac{1}{2} - \frac{\sqrt{- \frac{10}{3} - 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}} + \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{4 \sqrt{5}}{3} + \frac{10}{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}}}{2} + \frac{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}{2}$$
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/ / / 2 3
/ / / / 3 / ___\\ / 2 \ / 2 \
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ |
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___|
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------|
/ 10 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 10 4*\/ 5 \ 16 12 4 /
/ - -- - 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / 3 \/ 16 \/ 4 27 216 6 _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 3 _____________________________________________________________________________________________________________________________________________________
/ _____________________________________________________________________________________________________________________________________________________ / / _____________________________________________________________________________________________________________________________________________________ / ________________________________________________________________________________________
/ / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ / / 2 3
/ / / 2 3 / / / / 2 3 / / / 3 / ___\\ / 2 \
/ / / / 3 / ___\\ / 2 \ / 2 \ / / / / / 3 / ___\\ / 2 \ / 2 \ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ |
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 |
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------|
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 /
/ 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / / / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - --------------------------
/ - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ / / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ \/ 16 \/ 4 27 216 6
/ 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ / / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________
/ / ________________________________________________________________________________________ / / / ________________________________________________________________________________________
/ / / 2 3 / / / / 2 3
/ / / / 3 / ___\\ / 2 \ / / / / / 3 / ___\\ / 2 \
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ |
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------|
/ / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 /
/ 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - --------------------------
1 \/ \/ 16 \/ 4 27 216 6 \/ \/ \/ 16 \/ 4 27 216 6
x2 = - - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{2} = - \frac{1}{2} + \frac{\sqrt{- \frac{10}{3} - 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}} + \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{4 \sqrt{5}}{3} + \frac{10}{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}}}{2} + \frac{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}{2}$$
x2 = -1/2 + sqrt(-10/3 - 2*(-(5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/6 + (5/2 - sqrt(5))^3/216 + sqrt((-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)^3/27 + (-25/8 - (5/2 - sqrt(5))^3/108 + (5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/3)^2/4) + 25/16)^(1/3) + 2*(-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)/(3*(-(5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/6 + (5/2 - sqrt(5))^3/216 + sqrt((-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)^3/27 + (-25/8 - (5/2 - sqrt(5))^3/108 + (5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/3)^2/4) + 25/16)^(1/3)) + 4*sqrt(5)/3 + 10/sqrt(-5/3 - 2*(-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)/(3*(-(5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/6 + (5/2 - sqrt(5))^3/216 + sqrt((-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)^3/27 + (-25/8 - (5/2 - sqrt(5))^3/108 + (5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/3)^2/4) + 25/16)^(1/3)) + 2*sqrt(5)/3 + 2*(-(5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/6 + (5/2 - sqrt(5))^3/216 + sqrt((-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)^3/27 + (-25/8 - (5/2 - sqrt(5))^3/108 + (5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/3)^2/4) + 25/16)^(1/3)))/2 + sqrt(-5/3 - 2*(-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)/(3*(-(5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/6 + (5/2 - sqrt(5))^3/216 + sqrt((-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)^3/27 + (-25/8 - (5/2 - sqrt(5))^3/108 + (5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/3)^2/4) + 25/16)^(1/3)) + 2*sqrt(5)/3 + 2*(-(5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/6 + (5/2 - sqrt(5))^3/216 + sqrt((-85/16 - (5/2 - sqrt(5))^2/12 + 5*sqrt(5)/4)^3/27 + (-25/8 - (5/2 - sqrt(5))^3/108 + (5/2 - sqrt(5))*(85/16 - 5*sqrt(5)/4)/3)^2/4) + 25/16)^(1/3))/2
Suma y producto de raíces
[src]
suma
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/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ |
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___|
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------|
/ 10 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 10 4*\/ 5 \ 16 12 4 / / 10 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 10 4*\/ 5 \ 16 12 4 /
/ - -- - 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------ / - -- - 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / 3 \/ 16 \/ 4 27 216 6 _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 3 _____________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / 3 \/ 16 \/ 4 27 216 6 _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 3 _____________________________________________________________________________________________________________________________________________________
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/ / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ / / 2 3 / / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ / / 2 3
/ / / 2 3 / / / / 2 3 / / / 3 / ___\\ / 2 \ / / / 2 3 / / / / 2 3 / / / 3 / ___\\ / 2 \
/ / / / 3 / ___\\ / 2 \ / 2 \ / / / / / 3 / ___\\ / 2 \ / 2 \ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / / 3 / ___\\ / 2 \ / 2 \ / / / / / 3 / ___\\ / 2 \ / 2 \ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ |
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 |
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------|
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 /
/ 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / / / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / / / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - --------------------------
/ - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ / / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ \/ 16 \/ 4 27 216 6 / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ / / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ \/ 16 \/ 4 27 216 6
/ 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ / / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ / / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________
/ / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ / / ________________________________________________________________________________________ / / / ________________________________________________________________________________________
/ / / 2 3 / / / / 2 3 / / / 2 3 / / / / 2 3
/ / / / 3 / ___\\ / 2 \ / / / / / 3 / ___\\ / 2 \ / / / / 3 / ___\\ / 2 \ / / / / / 3 / ___\\ / 2 \
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ |
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------|
/ / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 /
/ 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - --------------------------
1 \/ \/ 16 \/ 4 27 216 6 \/ \/ \/ 16 \/ 4 27 216 6 1 \/ \/ 16 \/ 4 27 216 6 \/ \/ \/ 16 \/ 4 27 216 6
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2 2 2 2 2 2
$$\left(- \frac{1}{2} - \frac{\sqrt{- \frac{10}{3} - 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}} + \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{4 \sqrt{5}}{3} + \frac{10}{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}}}{2} + \frac{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}{2}\right) + \left(- \frac{1}{2} + \frac{\sqrt{- \frac{10}{3} - 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}} + \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{4 \sqrt{5}}{3} + \frac{10}{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}}}{2} + \frac{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}{2}\right)$$
=
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ _____________________________________________________________________________________________________________________________________________________
/ / ________________________________________________________________________________________
/ / / 2 3
/ / / / 3 / ___\\ / 2 \ / 2 \
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ |
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___|
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------|
/ 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 /
-1 + / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________
/ / ________________________________________________________________________________________
/ / / 2 3
/ / / / 3 / ___\\ / 2 \
/ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ |
/ / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\
/ / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 |
/ / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------|
/ / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 /
/ 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - --------------------------
\/ \/ 16 \/ 4 27 216 6
$$-1 + \sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}$$
producto
/ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ | / _____________________________________________________________________________________________________________________________________________________ | | / _____________________________________________________________________________________________________________________________________________________ | | / / ________________________________________________________________________________________ | | / / ________________________________________________________________________________________ | | / / / 2 3 | | / / / 2 3 | | / / / / 3 / ___\\ / 2 \ / 2 \ | | / / / / 3 / ___\\ / 2 \ / 2 \ | | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | | | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | | | / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| | | / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| | | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | | | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | | | / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| | | / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| | | / 10 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 10 4*\/ 5 \ 16 12 4 / | | / 10 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 10 4*\/ 5 \ 16 12 4 / | | / - -- - 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------ | | / - -- - 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------ | | _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / 3 \/ 16 \/ 4 27 216 6 _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 3 _____________________________________________________________________________________________________________________________________________________ | | _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / 3 \/ 16 \/ 4 27 216 6 _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 3 _____________________________________________________________________________________________________________________________________________________ | | / _____________________________________________________________________________________________________________________________________________________ / / _____________________________________________________________________________________________________________________________________________________ / ________________________________________________________________________________________ | | / _____________________________________________________________________________________________________________________________________________________ / / _____________________________________________________________________________________________________________________________________________________ / ________________________________________________________________________________________ | | / / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ / / 2 3 | | / / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ / / 2 3 | | / / / 2 3 / / / / 2 3 / / / 3 / ___\\ / 2 \ | | / / / 2 3 / / / / 2 3 / / / 3 / ___\\ / 2 \ | | / / / / 3 / ___\\ / 2 \ / 2 \ / / / / / 3 / ___\\ / 2 \ / 2 \ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | | / / / / 3 / ___\\ / 2 \ / 2 \ / / / / / 3 / ___\\ / 2 \ / 2 \ / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | /5 ___\ | / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | | / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | | / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | |- - \/ 5 | ___| / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| | | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | 85 \2 / 5*\/ 5 | / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| | | / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / | | / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| ___ 2*|- -- - ------------ + -------| / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / | | / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / / / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- | | / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / / / 5 / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / 2*\/ 5 \ 16 12 4 / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- | | / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ / / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ \/ 16 \/ 4 27 216 6 | | / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ / / - - + 2*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- + ------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ \/ 16 \/ 4 27 216 6 | | / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ / / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ | | / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ / / 3 \/ 16 \/ 4 27 216 6 3 _____________________________________________________________________________________________________________________________________________________ | | / / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ | | / / ________________________________________________________________________________________ / / / ________________________________________________________________________________________ | | / / / 2 3 / / / / 2 3 | | / / / 2 3 / / / / 2 3 | | / / / / 3 / ___\\ / 2 \ / / / / / 3 / ___\\ / 2 \ | | / / / / 3 / ___\\ / 2 \ / / / / / 3 / ___\\ / 2 \ | | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | | / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | / / / / | /5 ___\ /5 ___\ |85 5*\/ 5 || | /5 ___\ | | | / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | | / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ / / / / | |- - \/ 5 | |- - \/ 5 |*|-- - -------|| | |- - \/ 5 | ___| 3 / ___\ | | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | | / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | / / / / | 25 \2 / \2 / \16 4 /| | 85 \2 / 5*\/ 5 | /5 ___\ /5 ___\ |85 5*\/ 5 | | | / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| | | / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| / / / / |- -- - ------------ + --------------------------| |- -- - ------------ + -------| |- - \/ 5 | |- - \/ 5 |*|-- - -------| | | / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / | | / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / / / / 25 / \ 8 108 3 / \ 16 12 4 / \2 / \2 / \16 4 / | | / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- | | / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- / / 3*3 / -- + / --------------------------------------------------- + -------------------------------- + ------------ - -------------------------- | | 1 \/ \/ 16 \/ 4 27 216 6 \/ \/ \/ 16 \/ 4 27 216 6 | | 1 \/ \/ 16 \/ 4 27 216 6 \/ \/ \/ 16 \/ 4 27 216 6 | |- - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 2 / \ 2 2 2 /
$$\left(- \frac{1}{2} - \frac{\sqrt{- \frac{10}{3} - 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}} + \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{4 \sqrt{5}}{3} + \frac{10}{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}}}{2} + \frac{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}{2}\right) \left(- \frac{1}{2} + \frac{\sqrt{- \frac{10}{3} - 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}} + \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{4 \sqrt{5}}{3} + \frac{10}{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}}}{2} + \frac{\sqrt{- \frac{5}{3} - \frac{2 \left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)}{3 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}} + \frac{2 \sqrt{5}}{3} + 2 \sqrt[3]{- \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{6} + \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{216} + \sqrt{\frac{\left(- \frac{85}{16} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{2}}{12} + \frac{5 \sqrt{5}}{4}\right)^{3}}{27} + \frac{\left(- \frac{25}{8} - \frac{\left(\frac{5}{2} - \sqrt{5}\right)^{3}}{108} + \frac{\left(\frac{5}{2} - \sqrt{5}\right) \left(\frac{85}{16} - \frac{5 \sqrt{5}}{4}\right)}{3}\right)^{2}}{4}} + \frac{25}{16}}}}{2}\right)$$
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3 ___ 5/6 3 / ___ ___ / ___ 2/3 | ___ ___ / ___ | 3 ___ 3 / ___ ___ / ___ 3 ___ ___ 2/3 6 ___ | ___ ___ / ___ | 3 ___ ___ / ___ 2/3 ___ 6 / ___ ___ / ___ ___ 5/6 | ___ ___ / ___ | 6 ___ ____ / ___ ___ / ___ 6 ___ ___ / ___ ___ / ___ 6 ___ ___ 6 / ___ ___ / ___ 5/6 ___ 3 ___ | ___ ___ / ___ |
1 125*\/ 2 2*5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 10 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / 5*\/ 5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 28*\/ 2 *\/ 5 2 *\/ 5 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / 3*\/ 2 *\/ 5 *\/ -151 + 80*\/ 5 5*5 *\/ 6 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 \/ 3 *5 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / \/ 2 *\/ 15 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 5*\/ 2 *\/ 3 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 10*\/ 5 *\/ 6 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 2 *\/ 3 *\/ 5 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 /
- - -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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/ _________________ _________________ / _________________ _________________ / _________________ _________________ / _________________ _________________ / _________________ _________________ / _________________ _________________ / _________________ _________________ _______________________________________________________________________________ / 2/3 _________________________________________________ _________________________________________________ _______________________________________________________________________________ / 2/3 _________________________________________________ _________________________________________________ _______________________________________________________________________________ / 2/3 _________________________________________________ _________________________________________________ _______________________________________________________________________________ / 2/3 _________________________________________________ _________________________________________________ _______________________________________________________________________________ / 2/3 _________________________________________________ _________________________________________________ _______________________________________________________________________________ / 2/3 _________________________________________________ _________________________________________________
3 / ___ / ___ ___ / ___ 3 / ___ / ___ ___ / ___ 3 / ___ / ___ ___ / ___ 3 / ___ / ___ ___ / ___ 3 / ___ / ___ ___ / ___ 3 / ___ / ___ ___ / ___ 3 / ___ / ___ ___ / ___ / _________________ _________________ / / _________________\ / _________________ / _________________ / _________________ _________________ / / _________________\ / _________________ / _________________ / _________________ _________________ / / _________________\ / _________________ / _________________ / _________________ _________________ / / _________________\ / _________________ / _________________ / _________________ _________________ / / _________________\ / _________________ / _________________ / _________________ _________________ / / _________________\ / _________________ / _________________
12*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 3*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 24*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 2*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 3*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 12*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 4*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 6 / ___ / ___ ___ / ___ / ___ 3 ____ | ___ ___ / ___ | 3 ____ 3 / ___ ___ / ___ 2/3 5/6 3 / ___ ___ / ___ 3 / ___ / ___ ___ / ___ / ___ 3 ____ | ___ ___ / ___ | 3 ____ 3 / ___ ___ / ___ 2/3 5/6 3 / ___ ___ / ___ 6 / ___ / ___ ___ / ___ / ___ 3 ____ | ___ ___ / ___ | 3 ____ 3 / ___ ___ / ___ 2/3 5/6 3 / ___ ___ / ___ 6 / ___ / ___ ___ / ___ / ___ 3 ____ | ___ ___ / ___ | 3 ____ 3 / ___ ___ / ___ 2/3 5/6 3 / ___ ___ / ___ 6 / ___ / ___ ___ / ___ / ___ 3 ____ | ___ ___ / ___ | 3 ____ 3 / ___ ___ / ___ 2/3 5/6 3 / ___ ___ / ___ 6 / ___ / ___ ___ / ___ / ___ 3 ____ | ___ ___ / ___ | 3 ____ 3 / ___ ___ / ___ 2/3 5/6 3 / ___ ___ / ___
2*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 *\/ 150 - 40*\/ 5 + \/ 50 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / - 5*\/ 20 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 + 2*2 *5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 2*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 *\/ 150 - 40*\/ 5 + \/ 50 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / - 5*\/ 20 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 + 2*2 *5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 3*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 *\/ 150 - 40*\/ 5 + \/ 50 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / - 5*\/ 20 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 + 2*2 *5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 6*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 *\/ 150 - 40*\/ 5 + \/ 50 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / - 5*\/ 20 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 + 2*2 *5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 3*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 *\/ 150 - 40*\/ 5 + \/ 50 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / - 5*\/ 20 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 + 2*2 *5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 12*\/ 1719 + 440*\/ 5 + 1008*\/ -151 + 80*\/ 5 - 225*\/ 5 *\/ -151 + 80*\/ 5 *\/ 150 - 40*\/ 5 + \/ 50 *\-125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 / - 5*\/ 20 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5 + 2*2 *5 *\/ -125 + 112*\/ 5 + 9*\/ 5 *\/ -151 + 80*\/ 5
$$- \frac{\sqrt{3} \cdot 5^{\frac{5}{6}} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{5}{6}}}{2 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}} \sqrt{- 40 \sqrt{5} - 5 \sqrt[3]{20} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + 2 \cdot 2^{\frac{2}{3}} \cdot 5^{\frac{5}{6}} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + \sqrt[3]{50} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}} + 150}} - \frac{2 \cdot 5^{\frac{5}{6}} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}}}{3 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}}} - \frac{5 \cdot 5^{\frac{2}{3}} \sqrt{6} \sqrt[6]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}}}{2 \sqrt[6]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}} \sqrt{- 40 \sqrt{5} - 5 \sqrt[3]{20} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + 2 \cdot 2^{\frac{2}{3}} \cdot 5^{\frac{5}{6}} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + \sqrt[3]{50} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}} + 150}} - \frac{125 \sqrt[3]{2}}{12 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}}} - \frac{2^{\frac{5}{6}} \sqrt{3} \sqrt[3]{5} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{5}{6}}}{12 \sqrt[6]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}} \sqrt{- 40 \sqrt{5} - 5 \sqrt[3]{20} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + 2 \cdot 2^{\frac{2}{3}} \cdot 5^{\frac{5}{6}} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + \sqrt[3]{50} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}} + 150}} - \frac{\sqrt{15} \sqrt[6]{2} \sqrt{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}}}{3 \sqrt[6]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}} \sqrt{- 40 \sqrt{5} - 5 \sqrt[3]{20} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + 2 \cdot 2^{\frac{2}{3}} \cdot 5^{\frac{5}{6}} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + \sqrt[3]{50} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}} + 150}} - \frac{2^{\frac{2}{3}} \sqrt[6]{5} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}}}{12 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}}} + \frac{1}{4} + \frac{10^{\frac{2}{3}} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}}}{24 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}}} + \frac{5 \sqrt[6]{2} \sqrt{3} \sqrt{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}}}{6 \sqrt[6]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}} \sqrt{- 40 \sqrt{5} - 5 \sqrt[3]{20} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + 2 \cdot 2^{\frac{2}{3}} \cdot 5^{\frac{5}{6}} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + \sqrt[3]{50} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}} + 150}} + \frac{10 \sqrt[6]{5} \sqrt{6} \sqrt[6]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}}}{3 \sqrt[6]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}} \sqrt{- 40 \sqrt{5} - 5 \sqrt[3]{20} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + 2 \cdot 2^{\frac{2}{3}} \cdot 5^{\frac{5}{6}} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}} + \sqrt[3]{50} \left(-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}\right)^{\frac{2}{3}} + 150}} + \frac{3 \sqrt[3]{2} \sqrt{5} \sqrt{-151 + 80 \sqrt{5}}}{4 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}}} + \frac{5 \sqrt[3]{5} \sqrt[3]{-125 + 9 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 112 \sqrt{5}}}{2 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}}} + \frac{28 \sqrt[3]{2} \sqrt{5}}{3 \sqrt[3]{- 225 \sqrt{5} \sqrt{-151 + 80 \sqrt{5}} + 440 \sqrt{5} + 1719 + 1008 \sqrt{-151 + 80 \sqrt{5}}}}$$
1/4 - 125*2^(1/3)/(12*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)) - 2*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)/(3*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)) + 10^(2/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3)/(24*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)) + 5*5^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)/(2*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)) + 28*2^(1/3)*sqrt(5)/(3*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)) - 2^(2/3)*5^(1/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3)/(12*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)) + 3*2^(1/3)*sqrt(5)*sqrt(-151 + 80*sqrt(5))/(4*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)) - 5*5^(2/3)*sqrt(6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/6)/(2*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/6)*sqrt(150 - 40*sqrt(5) + 50^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3) - 5*20^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3) + 2*2^(2/3)*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3))) - sqrt(3)*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(5/6)/(2*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)*sqrt(150 - 40*sqrt(5) + 50^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3) - 5*20^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3) + 2*2^(2/3)*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3))) - 2^(1/6)*sqrt(15)*sqrt(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))/(3*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/6)*sqrt(150 - 40*sqrt(5) + 50^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3) - 5*20^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3) + 2*2^(2/3)*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3))) + 5*2^(1/6)*sqrt(3)*sqrt(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))/(6*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/6)*sqrt(150 - 40*sqrt(5) + 50^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3) - 5*20^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3) + 2*2^(2/3)*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3))) + 10*5^(1/6)*sqrt(6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/6)/(3*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/6)*sqrt(150 - 40*sqrt(5) + 50^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3) - 5*20^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3) + 2*2^(2/3)*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3))) - 2^(5/6)*sqrt(3)*5^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(5/6)/(12*(1719 + 440*sqrt(5) + 1008*sqrt(-151 + 80*sqrt(5)) - 225*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/6)*sqrt(150 - 40*sqrt(5) + 50^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(2/3) - 5*20^(1/3)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3) + 2*2^(2/3)*5^(5/6)*(-125 + 112*sqrt(5) + 9*sqrt(5)*sqrt(-151 + 80*sqrt(5)))^(1/3)))