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Expresiones semejantes
- (x-5)*(x^2+5*x+25)+x*(x-3)*(x+3)*x=5
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- (x-5)*(x^2+5*x-25)-x*(x-3)*(x+3)*x=5
- (x-5)*(x^2+5*x+25)-x*(x+3)*(x+3)*x=5
(x-5)*(x^2+5*x+25)-x*(x-3)*(x+3)*x=5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ (x - 5)*\x + 5*x + 25/ - x*(x - 3)*(x + 3)*x = 5
$$- x x \left(x - 3\right) \left(x + 3\right) + \left(x - 5\right) \left(\left(x^{2} + 5 x\right) + 25\right) = 5$$
Respuesta rápida
[src]
_____________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / ___________
/ 25 / 799 I*\/ 284160045 37 547
I* / - -- + 2*3 / --- + --------------- + ---------------------------------------------------------------------------------- + ------------------------------
______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________
/ _______________________ / / _______________________ / ___________
/ / ___________ / / / ___________ / 799 I*\/ 284160045
/ 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + ---------------
/ -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72
/ 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________
/ / ___________ / / / ___________
/ / 799 I*\/ 284160045 / / / 799 I*\/ 284160045
/ 6*3 / --- + --------------- / / 6*3 / --- + ---------------
1 \/ \/ 4 72 \/ \/ \/ 4 72
x1 = - - -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4 2 2
$$x_{1} = \frac{1}{4} - \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} - \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}$$
_____________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / ___________
/ 25 / 799 I*\/ 284160045 37 547
I* / - -- + 2*3 / --- + --------------- - ---------------------------------------------------------------------------------- + ------------------------------
______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________
/ _______________________ / / _______________________ / ___________
/ / ___________ / / / ___________ / 799 I*\/ 284160045
/ 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + ---------------
/ -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72
/ 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________
/ / ___________ / / / ___________
/ / 799 I*\/ 284160045 / / / 799 I*\/ 284160045
/ 6*3 / --- + --------------- / / 6*3 / --- + ---------------
1 \/ \/ 4 72 \/ \/ \/ 4 72
x2 = - + -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4 2 2
$$x_{2} = \frac{1}{4} - \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} - \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}$$
_____________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / ___________
/ 25 / 799 I*\/ 284160045 37 547
I* / - -- + 2*3 / --- + --------------- + ---------------------------------------------------------------------------------- + ------------------------------
______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________
/ _______________________ / / _______________________ / ___________
/ / ___________ / / / ___________ / 799 I*\/ 284160045
/ 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + ---------------
/ -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72
/ 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________
/ / ___________ / / / ___________
/ / 799 I*\/ 284160045 / / / 799 I*\/ 284160045
/ 6*3 / --- + --------------- / / 6*3 / --- + ---------------
1 \/ \/ 4 72 \/ \/ \/ 4 72
x3 = - - -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4 2 2
$$x_{3} = \frac{1}{4} - \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}$$
_____________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / ___________
/ 25 / 799 I*\/ 284160045 37 547
I* / - -- + 2*3 / --- + --------------- - ---------------------------------------------------------------------------------- + ------------------------------
______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________
/ _______________________ / / _______________________ / ___________
/ / ___________ / / / ___________ / 799 I*\/ 284160045
/ 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + ---------------
/ -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72
/ 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________
/ / ___________ / / / ___________
/ / 799 I*\/ 284160045 / / / 799 I*\/ 284160045
/ 6*3 / --- + --------------- / / 6*3 / --- + ---------------
1 \/ \/ 4 72 \/ \/ \/ 4 72
x4 = - + -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4 2 2
$$x_{4} = \frac{1}{4} + \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} - \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}$$
x4 = 1/4 + sqrt(25/4 + 547/(6*(799/4 + sqrt(284160045)*i/72)^(1/3)) + 2*(799/4 + sqrt(284160045)*i/72)^(1/3))/2 + i*sqrt(-25/2 + 547/(6*(799/4 + sqrt(284160045)*i/72)^(1/3)) - 37/(4*sqrt(25/4 + 547/(6*(799/4 + sqrt(284160045)*i/72)^(1/3)) + 2*(799/4 + sqrt(284160045)*i/72)^(1/3))) + 2*(799/4 + sqrt(284160045)*i/72)^(1/3))/2
Suma y producto de raíces
[src]
suma
_____________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________
/ _______________________ / _______________________ / _______________________ / _______________________
/ / ___________ / / ___________ / / ___________ / / ___________
/ 25 / 799 I*\/ 284160045 37 547 / 25 / 799 I*\/ 284160045 37 547 / 25 / 799 I*\/ 284160045 37 547 / 25 / 799 I*\/ 284160045 37 547
I* / - -- + 2*3 / --- + --------------- + ---------------------------------------------------------------------------------- + ------------------------------ I* / - -- + 2*3 / --- + --------------- - ---------------------------------------------------------------------------------- + ------------------------------ I* / - -- + 2*3 / --- + --------------- + ---------------------------------------------------------------------------------- + ------------------------------ I* / - -- + 2*3 / --- + --------------- - ---------------------------------------------------------------------------------- + ------------------------------
______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________ ______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________ ______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________ ______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________
/ _______________________ / / _______________________ / ___________ / _______________________ / / _______________________ / ___________ / _______________________ / / _______________________ / ___________ / _______________________ / / _______________________ / ___________
/ / ___________ / / / ___________ / 799 I*\/ 284160045 / / ___________ / / / ___________ / 799 I*\/ 284160045 / / ___________ / / / ___________ / 799 I*\/ 284160045 / / ___________ / / / ___________ / 799 I*\/ 284160045
/ 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + --------------- / 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + --------------- / 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + --------------- / 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + ---------------
/ -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72 / -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72 / -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72 / -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72
/ 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________ / 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________ / 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________ / 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________
/ / ___________ / / / ___________ / / ___________ / / / ___________ / / ___________ / / / ___________ / / ___________ / / / ___________
/ / 799 I*\/ 284160045 / / / 799 I*\/ 284160045 / / 799 I*\/ 284160045 / / / 799 I*\/ 284160045 / / 799 I*\/ 284160045 / / / 799 I*\/ 284160045 / / 799 I*\/ 284160045 / / / 799 I*\/ 284160045
/ 6*3 / --- + --------------- / / 6*3 / --- + --------------- / 6*3 / --- + --------------- / / 6*3 / --- + --------------- / 6*3 / --- + --------------- / / 6*3 / --- + --------------- / 6*3 / --- + --------------- / / 6*3 / --- + ---------------
1 \/ \/ 4 72 \/ \/ \/ 4 72 1 \/ \/ 4 72 \/ \/ \/ 4 72 1 \/ \/ 4 72 \/ \/ \/ 4 72 1 \/ \/ 4 72 \/ \/ \/ 4 72
- - -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - + -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - - -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - + -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4 2 2 4 2 2 4 2 2 4 2 2
$$\left(\left(\left(\frac{1}{4} - \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} - \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right) + \left(\frac{1}{4} - \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} - \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right)\right) + \left(\frac{1}{4} - \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right)\right) + \left(\frac{1}{4} + \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} - \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right)$$
=
1
$$1$$
producto
/ _____________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________\ | / _______________________ | | / _______________________ | | / _______________________ | | / _______________________ | | / / ___________ | | / / ___________ | | / / ___________ | | / / ___________ | | / 25 / 799 I*\/ 284160045 37 547 | | / 25 / 799 I*\/ 284160045 37 547 | | / 25 / 799 I*\/ 284160045 37 547 | | / 25 / 799 I*\/ 284160045 37 547 | | I* / - -- + 2*3 / --- + --------------- + ---------------------------------------------------------------------------------- + ------------------------------ | | I* / - -- + 2*3 / --- + --------------- - ---------------------------------------------------------------------------------- + ------------------------------ | | I* / - -- + 2*3 / --- + --------------- + ---------------------------------------------------------------------------------- + ------------------------------ | | I* / - -- + 2*3 / --- + --------------- - ---------------------------------------------------------------------------------- + ------------------------------ | | ______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________ | | ______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________ | | ______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________ | | ______________________________________________________________________ / 2 \/ 4 72 ______________________________________________________________________ _______________________ | | / _______________________ / / _______________________ / ___________ | | / _______________________ / / _______________________ / ___________ | | / _______________________ / / _______________________ / ___________ | | / _______________________ / / _______________________ / ___________ | | / / ___________ / / / ___________ / 799 I*\/ 284160045 | | / / ___________ / / / ___________ / 799 I*\/ 284160045 | | / / ___________ / / / ___________ / 799 I*\/ 284160045 | | / / ___________ / / / ___________ / 799 I*\/ 284160045 | | / 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + --------------- | | / 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + --------------- | | / 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + --------------- | | / 25 / 799 I*\/ 284160045 547 / / 25 / 799 I*\/ 284160045 547 6*3 / --- + --------------- | | / -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72 | | / -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72 | | / -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72 | | / -- + 2*3 / --- + --------------- + ------------------------------ / 4* / -- + 2*3 / --- + --------------- + ------------------------------ \/ 4 72 | | / 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________ | | / 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________ | | / 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________ | | / 4 \/ 4 72 _______________________ / / 4 \/ 4 72 _______________________ | | / / ___________ / / / ___________ | | / / ___________ / / / ___________ | | / / ___________ / / / ___________ | | / / ___________ / / / ___________ | | / / 799 I*\/ 284160045 / / / 799 I*\/ 284160045 | | / / 799 I*\/ 284160045 / / / 799 I*\/ 284160045 | | / / 799 I*\/ 284160045 / / / 799 I*\/ 284160045 | | / / 799 I*\/ 284160045 / / / 799 I*\/ 284160045 | | / 6*3 / --- + --------------- / / 6*3 / --- + --------------- | | / 6*3 / --- + --------------- / / 6*3 / --- + --------------- | | / 6*3 / --- + --------------- / / 6*3 / --- + --------------- | | / 6*3 / --- + --------------- / / 6*3 / --- + --------------- | |1 \/ \/ 4 72 \/ \/ \/ 4 72 | |1 \/ \/ 4 72 \/ \/ \/ 4 72 | |1 \/ \/ 4 72 \/ \/ \/ 4 72 | |1 \/ \/ 4 72 \/ \/ \/ 4 72 | |- - -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \4 2 2 / \4 2 2 / \4 2 2 / \4 2 2 /
$$\left(\frac{1}{4} - \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} - \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right) \left(\frac{1}{4} - \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} - \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right) \left(\frac{1}{4} - \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right) \left(\frac{1}{4} + \frac{\sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2} + \frac{i \sqrt{- \frac{25}{2} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} - \frac{37}{4 \sqrt{\frac{25}{4} + \frac{547}{6 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}} + 2 \sqrt[3]{\frac{799}{4} + \frac{\sqrt{284160045} i}{72}}}}{2}\right)$$
=
130
$$130$$
130
Respuesta numérica
[src]
x1 = -2.58472705482893 + 1.93805703478258*i
x2 = 3.08472705482893 + 1.71472734878989*i
x3 = 3.08472705482893 - 1.71472734878989*i
x4 = -2.58472705482893 - 1.93805703478258*i
x4 = -2.58472705482893 - 1.93805703478258*i