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Expresiones semejantes
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(5x-9)^4+7(4x+5)-8=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 (5*x - 9) + 7*(4*x + 5) - 8 = 0
$$\left(7 \left(4 x + 5\right) + \left(5 x - 9\right)^{4}\right) - 8 = 0$$
Respuesta rápida
[src]
_____________________________________________________________________________________________________________________________________________________________________
/ __________________________
/ / _________
/ / 49 2*I*\/ 2682761 56 258
I* / 2*3 / ------ + --------------- - ---------------------------------------------------------------------------------------- + ------------------------------------
__________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________
/ __________________________ / / __________________________ / _________
/ / _________ / / / _________ / 49 2*I*\/ 2682761
/ / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + ---------------
/ 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625
/ \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________
/ / _________ / / / _________
/ / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761
/ 3125*3 / ------ + --------------- / / 3125*3 / ------ + ---------------
9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625
x1 = - - ------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5 2 2
$$x_{1} = \frac{9}{5} - \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} - \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} - \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}$$
_____________________________________________________________________________________________________________________________________________________________________
/ __________________________
/ / _________
/ / 49 2*I*\/ 2682761 56 258
I* / 2*3 / ------ + --------------- + ---------------------------------------------------------------------------------------- + ------------------------------------
__________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________
/ __________________________ / / __________________________ / _________
/ / _________ / / / _________ / 49 2*I*\/ 2682761
/ / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + ---------------
/ 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625
/ \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________
/ / _________ / / / _________
/ / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761
/ 3125*3 / ------ + --------------- / / 3125*3 / ------ + ---------------
9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625
x2 = - + ------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5 2 2
$$x_{2} = \frac{9}{5} - \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}$$
_____________________________________________________________________________________________________________________________________________________________________
/ __________________________
/ / _________
/ / 49 2*I*\/ 2682761 56 258
I* / 2*3 / ------ + --------------- + ---------------------------------------------------------------------------------------- + ------------------------------------
__________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________
/ __________________________ / / __________________________ / _________
/ / _________ / / / _________ / 49 2*I*\/ 2682761
/ / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + ---------------
/ 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625
/ \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________
/ / _________ / / / _________
/ / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761
/ 3125*3 / ------ + --------------- / / 3125*3 / ------ + ---------------
9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625
x3 = - + ------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5 2 2
$$x_{3} = \frac{9}{5} + \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}$$
_____________________________________________________________________________________________________________________________________________________________________
/ __________________________
/ / _________
/ / 49 2*I*\/ 2682761 56 258
I* / 2*3 / ------ + --------------- - ---------------------------------------------------------------------------------------- + ------------------------------------
__________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________
/ __________________________ / / __________________________ / _________
/ / _________ / / / _________ / 49 2*I*\/ 2682761
/ / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + ---------------
/ 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625
/ \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________
/ / _________ / / / _________
/ / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761
/ 3125*3 / ------ + --------------- / / 3125*3 / ------ + ---------------
9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625
x4 = - - ------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5 2 2
$$x_{4} = \frac{9}{5} - \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} - \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}$$
x4 = 9/5 - sqrt(258/(3125*(49/390625 + 2*sqrt(2682761)*i/390625)^(1/3)) + 2*(49/390625 + 2*sqrt(2682761)*i/390625)^(1/3))/2 + i*sqrt(258/(3125*(49/390625 + 2*sqrt(2682761)*i/390625)^(1/3)) - 56/(625*sqrt(258/(3125*(49/390625 + 2*sqrt(2682761)*i/390625)^(1/3)) + 2*(49/390625 + 2*sqrt(2682761)*i/390625)^(1/3))) + 2*(49/390625 + 2*sqrt(2682761)*i/390625)^(1/3))/2
Suma y producto de raíces
[src]
suma
_____________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________
/ __________________________ / __________________________ / __________________________ / __________________________
/ / _________ / / _________ / / _________ / / _________
/ / 49 2*I*\/ 2682761 56 258 / / 49 2*I*\/ 2682761 56 258 / / 49 2*I*\/ 2682761 56 258 / / 49 2*I*\/ 2682761 56 258
I* / 2*3 / ------ + --------------- - ---------------------------------------------------------------------------------------- + ------------------------------------ I* / 2*3 / ------ + --------------- + ---------------------------------------------------------------------------------------- + ------------------------------------ I* / 2*3 / ------ + --------------- + ---------------------------------------------------------------------------------------- + ------------------------------------ I* / 2*3 / ------ + --------------- - ---------------------------------------------------------------------------------------- + ------------------------------------
__________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________ __________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________ __________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________ __________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________
/ __________________________ / / __________________________ / _________ / __________________________ / / __________________________ / _________ / __________________________ / / __________________________ / _________ / __________________________ / / __________________________ / _________
/ / _________ / / / _________ / 49 2*I*\/ 2682761 / / _________ / / / _________ / 49 2*I*\/ 2682761 / / _________ / / / _________ / 49 2*I*\/ 2682761 / / _________ / / / _________ / 49 2*I*\/ 2682761
/ / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + --------------- / / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + --------------- / / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + --------------- / / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + ---------------
/ 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625 / 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625 / 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625 / 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625
/ \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________ / \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________ / \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________ / \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________
/ / _________ / / / _________ / / _________ / / / _________ / / _________ / / / _________ / / _________ / / / _________
/ / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761 / / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761 / / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761 / / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761
/ 3125*3 / ------ + --------------- / / 3125*3 / ------ + --------------- / 3125*3 / ------ + --------------- / / 3125*3 / ------ + --------------- / 3125*3 / ------ + --------------- / / 3125*3 / ------ + --------------- / 3125*3 / ------ + --------------- / / 3125*3 / ------ + ---------------
9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625 9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625 9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625 9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625
- - ------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - ------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5 2 2 5 2 2 5 2 2 5 2 2
$$\left(\left(\left(\frac{9}{5} - \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right) + \left(\frac{9}{5} - \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} - \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} - \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right)\right) + \left(\frac{9}{5} + \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right)\right) + \left(\frac{9}{5} - \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} - \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right)$$
=
36/5
$$\frac{36}{5}$$
producto
/ _____________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________________\ | / __________________________ | | / __________________________ | | / __________________________ | | / __________________________ | | / / _________ | | / / _________ | | / / _________ | | / / _________ | | / / 49 2*I*\/ 2682761 56 258 | | / / 49 2*I*\/ 2682761 56 258 | | / / 49 2*I*\/ 2682761 56 258 | | / / 49 2*I*\/ 2682761 56 258 | | I* / 2*3 / ------ + --------------- - ---------------------------------------------------------------------------------------- + ------------------------------------ | | I* / 2*3 / ------ + --------------- + ---------------------------------------------------------------------------------------- + ------------------------------------ | | I* / 2*3 / ------ + --------------- + ---------------------------------------------------------------------------------------- + ------------------------------------ | | I* / 2*3 / ------ + --------------- - ---------------------------------------------------------------------------------------- + ------------------------------------ | | __________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________ | | __________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________ | | __________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________ | | __________________________________________________________________________ / \/ 390625 390625 __________________________________________________________________________ __________________________ | | / __________________________ / / __________________________ / _________ | | / __________________________ / / __________________________ / _________ | | / __________________________ / / __________________________ / _________ | | / __________________________ / / __________________________ / _________ | | / / _________ / / / _________ / 49 2*I*\/ 2682761 | | / / _________ / / / _________ / 49 2*I*\/ 2682761 | | / / _________ / / / _________ / 49 2*I*\/ 2682761 | | / / _________ / / / _________ / 49 2*I*\/ 2682761 | | / / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + --------------- | | / / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + --------------- | | / / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + --------------- | | / / 49 2*I*\/ 2682761 258 / / / 49 2*I*\/ 2682761 258 3125*3 / ------ + --------------- | | / 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625 | | / 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625 | | / 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625 | | / 2*3 / ------ + --------------- + ------------------------------------ / 625* / 2*3 / ------ + --------------- + ------------------------------------ \/ 390625 390625 | | / \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________ | | / \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________ | | / \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________ | | / \/ 390625 390625 __________________________ / / \/ 390625 390625 __________________________ | | / / _________ / / / _________ | | / / _________ / / / _________ | | / / _________ / / / _________ | | / / _________ / / / _________ | | / / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761 | | / / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761 | | / / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761 | | / / 49 2*I*\/ 2682761 / / / 49 2*I*\/ 2682761 | | / 3125*3 / ------ + --------------- / / 3125*3 / ------ + --------------- | | / 3125*3 / ------ + --------------- / / 3125*3 / ------ + --------------- | | / 3125*3 / ------ + --------------- / / 3125*3 / ------ + --------------- | | / 3125*3 / ------ + --------------- / / 3125*3 / ------ + --------------- | |9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625 | |9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625 | |9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625 | |9 \/ \/ 390625 390625 \/ \/ \/ 390625 390625 | |- - ------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \5 2 2 / \5 2 2 / \5 2 2 / \5 2 2 /
$$\left(\frac{9}{5} - \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} - \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} - \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right) \left(\frac{9}{5} - \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right) \left(\frac{9}{5} + \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right) \left(\frac{9}{5} - \frac{\sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2} + \frac{i \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} - \frac{56}{625 \sqrt{\frac{258}{3125 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}} + 2 \sqrt[3]{\frac{49}{390625} + \frac{2 \sqrt{2682761} i}{390625}}}}{2}\right)$$
=
6588 ---- 625
$$\frac{6588}{625}$$
6588/625
Respuesta numérica
[src]
x1 = 1.37992997071902 + 0.387035668118296*i
x2 = 2.22007002928098 + 0.450689527950755*i
x3 = 2.22007002928098 - 0.450689527950755*i
x4 = 1.37992997071902 - 0.387035668118296*i
x4 = 1.37992997071902 - 0.387035668118296*i