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Ecuación 15-4(7-x)=11
- Expresar {x} en función de y en la ecuación:
- -1*x+6*y=-20
- 15*x-5*y=-5
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Expresiones idénticas
- x^ cuatro - cinco *x^ dos - treinta y seis *x- ciento cuarenta = cero
- x en el grado 4 menos 5 multiplicar por x al cuadrado menos 36 multiplicar por x menos 140 es igual a 0
- x en el grado cuatro menos cinco multiplicar por x en el grado dos menos treinta y seis multiplicar por x menos ciento cuarenta es igual a cero
- x4-5*x2-36*x-140=0
- x⁴-5*x²-36*x-140=0
- x en el grado 4-5*x en el grado 2-36*x-140=0
- x^4-5x^2-36x-140=0
- x4-5x2-36x-140=0
- x^4-5*x^2-36*x-140=O
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Expresiones semejantes
- x^4-5*x^2+36*x-140=0
- x^4-5*x^2-36*x+140=0
- x^4+5*x^2-36*x-140=0
x^4-5*x^2-36*x-140=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 2 x - 5*x - 36*x - 140 = 0
$$\left(- 36 x + \left(x^{4} - 5 x^{2}\right)\right) - 140 = 0$$
Suma y producto de raíces
[src]
suma
_______________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________
/ ______________________ / ______________________ / ______________________ / ______________________
/ / _______ / / _______ / / _______ / / _______
/ 20 / 7829 3*\/ 43766 72 1655 / 20 / 7829 3*\/ 43766 72 1655 / 20 / 7829 3*\/ 43766 72 1655 / 20 / 7829 3*\/ 43766 72 1655
/ -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- + ------------------------------ / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- + ------------------------------ I* / - -- + 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- - ------------------------------ I* / - -- + 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- - ------------------------------
_____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________ _____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________ _____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________ _____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________
/ ______________________ / / ______________________ / _______ / ______________________ / / ______________________ / _______ / ______________________ / / ______________________ / _______ / ______________________ / / ______________________ / _______
/ / _______ / / / _______ / 7829 3*\/ 43766 / / _______ / / / _______ / 7829 3*\/ 43766 / / _______ / / / _______ / 7829 3*\/ 43766 / / _______ / / / _______ / 7829 3*\/ 43766
/ 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + ----------- / 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + ----------- / 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + ----------- / 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + -----------
/ -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2 / -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2 / -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2 / -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2
/ 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________ / 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________ / 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________ / 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________
/ / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______
/ / 7829 3*\/ 43766 / / / 7829 3*\/ 43766 / / 7829 3*\/ 43766 / / / 7829 3*\/ 43766 / / 7829 3*\/ 43766 / / / 7829 3*\/ 43766 / / 7829 3*\/ 43766 / / / 7829 3*\/ 43766
/ 18*3 / - ---- + ----------- / / 18*3 / - ---- + ----------- / 18*3 / - ---- + ----------- / / 18*3 / - ---- + ----------- / 18*3 / - ---- + ----------- / / 18*3 / - ---- + ----------- / 18*3 / - ---- + ----------- / / 18*3 / - ---- + -----------
\/ \/ 216 2 \/ \/ \/ 216 2 \/ \/ 216 2 \/ \/ \/ 216 2 \/ \/ 216 2 \/ \/ \/ 216 2 \/ \/ 216 2 \/ \/ \/ 216 2
------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2 2 2 2 2
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{20}{3} + \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2} + \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2}\right) + \left(\frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{20}{3} + \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} - \frac{i \sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} - \frac{20}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} + \frac{i \sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} - \frac{20}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}\right)$$
=
0
$$0$$
producto
/ _______________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________________________________\ / _________________________________________________________________________________________________________________________________________________________\ | / ______________________ | | / ______________________ | | / ______________________ | | / ______________________ | | / / _______ | | / / _______ | | / / _______ | | / / _______ | | / 20 / 7829 3*\/ 43766 72 1655 | | / 20 / 7829 3*\/ 43766 72 1655 | | / 20 / 7829 3*\/ 43766 72 1655 | | / 20 / 7829 3*\/ 43766 72 1655 | | / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- + ------------------------------ | | / -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- + ------------------------------ | | I* / - -- + 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- - ------------------------------ | | I* / - -- + 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- - ------------------------------ | | _____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________ | | _____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________ | | _____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________ | | _____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________ | | / ______________________ / / ______________________ / _______ | | / ______________________ / / ______________________ / _______ | | / ______________________ / / ______________________ / _______ | | / ______________________ / / ______________________ / _______ | | / / _______ / / / _______ / 7829 3*\/ 43766 | | / / _______ / / / _______ / 7829 3*\/ 43766 | | / / _______ / / / _______ / 7829 3*\/ 43766 | | / / _______ / / / _______ / 7829 3*\/ 43766 | | / 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + ----------- | | / 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + ----------- | | / 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + ----------- | | / 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + ----------- | | / -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2 | | / -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2 | | / -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2 | | / -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2 | | / 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________ | | / 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________ | | / 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________ | | / 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / 7829 3*\/ 43766 / / / 7829 3*\/ 43766 | | / / 7829 3*\/ 43766 / / / 7829 3*\/ 43766 | | / / 7829 3*\/ 43766 / / / 7829 3*\/ 43766 | | / / 7829 3*\/ 43766 / / / 7829 3*\/ 43766 | | / 18*3 / - ---- + ----------- / / 18*3 / - ---- + ----------- | | / 18*3 / - ---- + ----------- / / 18*3 / - ---- + ----------- | | / 18*3 / - ---- + ----------- / / 18*3 / - ---- + ----------- | | / 18*3 / - ---- + ----------- / / 18*3 / - ---- + ----------- | |\/ \/ 216 2 \/ \/ \/ 216 2 | |\/ \/ 216 2 \/ \/ \/ 216 2 | | \/ \/ 216 2 \/ \/ \/ 216 2 | | \/ \/ 216 2 \/ \/ \/ 216 2 | |------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- ------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- ------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(\frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{20}{3} + \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{20}{3} + \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2} + \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2}\right) \left(- \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} - \frac{i \sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} - \frac{20}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} + \frac{i \sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} - \frac{20}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}\right)$$
=
-140
$$-140$$
-140
Respuesta rápida
[src]
_______________________________________________________________________________________________________________________________________________________
/ ______________________
/ / _______
/ 20 / 7829 3*\/ 43766 72 1655
/ -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- + ------------------------------
_____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________
/ ______________________ / / ______________________ / _______
/ / _______ / / / _______ / 7829 3*\/ 43766
/ 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + -----------
/ -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2
/ 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________
/ / _______ / / / _______
/ / 7829 3*\/ 43766 / / / 7829 3*\/ 43766
/ 18*3 / - ---- + ----------- / / 18*3 / - ---- + -----------
\/ \/ 216 2 \/ \/ \/ 216 2
x1 = ------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{20}{3} + \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________
/ ______________________
/ / _______
/ 20 / 7829 3*\/ 43766 72 1655
/ -- - 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- + ------------------------------
_____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________
/ ______________________ / / ______________________ / _______
/ / _______ / / / _______ / 7829 3*\/ 43766
/ 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + -----------
/ -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2
/ 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________
/ / _______ / / / _______
/ / 7829 3*\/ 43766 / / / 7829 3*\/ 43766
/ 18*3 / - ---- + ----------- / / 18*3 / - ---- + -----------
\/ \/ 216 2 \/ \/ \/ 216 2
x2 = ------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{20}{3} + \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2} + \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2}$$
_________________________________________________________________________________________________________________________________________________________
/ ______________________
/ / _______
/ 20 / 7829 3*\/ 43766 72 1655
I* / - -- + 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- - ------------------------------
_____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________
/ ______________________ / / ______________________ / _______
/ / _______ / / / _______ / 7829 3*\/ 43766
/ 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + -----------
/ -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2
/ 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________
/ / _______ / / / _______
/ / 7829 3*\/ 43766 / / / 7829 3*\/ 43766
/ 18*3 / - ---- + ----------- / / 18*3 / - ---- + -----------
\/ \/ 216 2 \/ \/ \/ 216 2
x3 = - ------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{3} = - \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} - \frac{i \sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} - \frac{20}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}$$
_________________________________________________________________________________________________________________________________________________________
/ ______________________
/ / _______
/ 20 / 7829 3*\/ 43766 72 1655
I* / - -- + 2*3 / - ---- + ----------- + ------------------------------------------------------------------------------- - ------------------------------
_____________________________________________________________________ / 3 \/ 216 2 _____________________________________________________________________ ______________________
/ ______________________ / / ______________________ / _______
/ / _______ / / / _______ / 7829 3*\/ 43766
/ 10 / 7829 3*\/ 43766 1655 / / 10 / 7829 3*\/ 43766 1655 18*3 / - ---- + -----------
/ -- + 2*3 / - ---- + ----------- - ------------------------------ / / -- + 2*3 / - ---- + ----------- - ------------------------------ \/ 216 2
/ 3 \/ 216 2 ______________________ / / 3 \/ 216 2 ______________________
/ / _______ / / / _______
/ / 7829 3*\/ 43766 / / / 7829 3*\/ 43766
/ 18*3 / - ---- + ----------- / / 18*3 / - ---- + -----------
\/ \/ 216 2 \/ \/ \/ 216 2
x4 = - ------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{4} = - \frac{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}{2} + \frac{i \sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} - \frac{20}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}} + \frac{72}{\sqrt{- \frac{1655}{18 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}} + \frac{10}{3} + 2 \sqrt[3]{- \frac{7829}{216} + \frac{3 \sqrt{43766}}{2}}}}}}{2}$$
x4 = -sqrt(-1655/(18*(-7829/216 + 3*sqrt(43766)/2)^(1/3)) + 10/3 + 2*(-7829/216 + 3*sqrt(43766)/2)^(1/3))/2 + i*sqrt(-1655/(18*(-7829/216 + 3*sqrt(43766)/2)^(1/3)) - 20/3 + 2*(-7829/216 + 3*sqrt(43766)/2)^(1/3) + 72/sqrt(-1655/(18*(-7829/216 + 3*sqrt(43766)/2)^(1/3)) + 10/3 + 2*(-7829/216 + 3*sqrt(43766)/2)^(1/3)))/2
Respuesta numérica
[src]
x1 = 4.47572884713296
x2 = -2.96437140950654
x3 = -0.755678718813211 - 3.15925206486379*i
x4 = -0.755678718813211 + 3.15925206486379*i
x4 = -0.755678718813211 + 3.15925206486379*i