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Expresiones idénticas
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- menos X en el grado cuatro más seis multiplicar por X en el grado tres menos trece multiplicar por X en el grado dos más once multiplicar por x menos cinco es igual a cero
- -X4+6*X3-13*X2+11*x-5=0
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- -X en el grado 4+6*X en el grado 3-13*X en el grado 2+11*x-5=0
- -X^4+6X^3-13X^2+11x-5=0
- -X4+6X3-13X2+11x-5=0
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- -X^4+6*X^3+13*X^2+11*x-5=0
- -X^4-6*X^3-13*X^2+11*x-5=0
-X^4+6*X^3-13*X^2+11*x-5=0 la ecuación
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Solución
Ha introducido
[src]
4 3 2 - x + 6*x - 13*x + 11*x - 5 = 0
$$\left(11 x + \left(- 13 x^{2} + \left(- x^{4} + 6 x^{3}\right)\right)\right) - 5 = 0$$
Suma y producto de raíces
[src]
suma
___________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________
/ ___________________ / ___________________ / ___________________ / ___________________
/ / _______ / / _______ / / _______ / / _______
/ 2 2 / 119 I*\/ 11667 31 / 2 / 119 I*\/ 11667 2 31 / 2 / 119 I*\/ 11667 2 31 / 2 2 / 119 I*\/ 11667 31
I* / - - - ------------------------------------------------------------------------ + 2*3 / --- + ----------- + --------------------------- I* / - - + 2*3 / --- + ----------- + ------------------------------------------------------------------------ + --------------------------- I* / - - + 2*3 / --- + ----------- + ------------------------------------------------------------------------ + --------------------------- I* / - - - ------------------------------------------------------------------------ + 2*3 / --- + ----------- + ---------------------------
______________________________________________________________ / 3 ______________________________________________________________ \/ 432 144 ___________________ ______________________________________________________________ / 3 \/ 432 144 ______________________________________________________________ ___________________ ______________________________________________________________ / 3 \/ 432 144 ______________________________________________________________ ___________________ ______________________________________________________________ / 3 ______________________________________________________________ \/ 432 144 ___________________
/ ___________________ / / ___________________ / _______ / ___________________ / / ___________________ / _______ / ___________________ / / ___________________ / _______ / ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 119 I*\/ 11667 / / _______ / / / _______ / 119 I*\/ 11667 / / _______ / / / _______ / 119 I*\/ 11667 / / _______ / / / _______ / 119 I*\/ 11667
/ 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + ----------- / 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + ----------- / 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + ----------- / 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + -----------
/ - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144 / - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144 / - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144 / - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________ / 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________ / 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________ / 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________
/ / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______
/ / 119 I*\/ 11667 / / / 119 I*\/ 11667 / / 119 I*\/ 11667 / / / 119 I*\/ 11667 / / 119 I*\/ 11667 / / / 119 I*\/ 11667 / / 119 I*\/ 11667 / / / 119 I*\/ 11667
/ 18*3 / --- + ----------- / / 18*3 / --- + ----------- / 18*3 / --- + ----------- / / 18*3 / --- + ----------- / 18*3 / --- + ----------- / / 18*3 / --- + ----------- / 18*3 / --- + ----------- / / 18*3 / --- + -----------
3 \/ \/ 432 144 \/ \/ \/ 432 144 3 \/ \/ 432 144 \/ \/ \/ 432 144 3 \/ \/ 432 144 \/ \/ \/ 432 144 3 \/ \/ 432 144 \/ \/ \/ 432 144
- - ------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ + - + ------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + - + ------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------ + - - ------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2 2 2 2 2 2 2 2 2
$$\left(\left(\frac{3}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right) + \left(\left(\frac{3}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} - \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} - \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right) + \left(\frac{3}{2} + \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right)\right)\right) + \left(\frac{3}{2} - \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} - \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right)$$
=
6
$$6$$
producto
/ ___________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________\ | / ___________________ | | / ___________________ | | / ___________________ | | / ___________________ | | / / _______ | | / / _______ | | / / _______ | | / / _______ | | / 2 2 / 119 I*\/ 11667 31 | | / 2 / 119 I*\/ 11667 2 31 | | / 2 / 119 I*\/ 11667 2 31 | | / 2 2 / 119 I*\/ 11667 31 | | I* / - - - ------------------------------------------------------------------------ + 2*3 / --- + ----------- + --------------------------- | | I* / - - + 2*3 / --- + ----------- + ------------------------------------------------------------------------ + --------------------------- | | I* / - - + 2*3 / --- + ----------- + ------------------------------------------------------------------------ + --------------------------- | | I* / - - - ------------------------------------------------------------------------ + 2*3 / --- + ----------- + --------------------------- | | ______________________________________________________________ / 3 ______________________________________________________________ \/ 432 144 ___________________ | | ______________________________________________________________ / 3 \/ 432 144 ______________________________________________________________ ___________________ | | ______________________________________________________________ / 3 \/ 432 144 ______________________________________________________________ ___________________ | | ______________________________________________________________ / 3 ______________________________________________________________ \/ 432 144 ___________________ | | / ___________________ / / ___________________ / _______ | | / ___________________ / / ___________________ / _______ | | / ___________________ / / ___________________ / _______ | | / ___________________ / / ___________________ / _______ | | / / _______ / / / _______ / 119 I*\/ 11667 | | / / _______ / / / _______ / 119 I*\/ 11667 | | / / _______ / / / _______ / 119 I*\/ 11667 | | / / _______ / / / _______ / 119 I*\/ 11667 | | / 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + ----------- | | / 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + ----------- | | / 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + ----------- | | / 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + ----------- | | / - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144 | | / - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144 | | / - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144 | | / - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144 | | / 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________ | | / 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________ | | / 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________ | | / 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / 119 I*\/ 11667 / / / 119 I*\/ 11667 | | / / 119 I*\/ 11667 / / / 119 I*\/ 11667 | | / / 119 I*\/ 11667 / / / 119 I*\/ 11667 | | / / 119 I*\/ 11667 / / / 119 I*\/ 11667 | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | |3 \/ \/ 432 144 \/ \/ \/ 432 144 | |3 \/ \/ 432 144 \/ \/ \/ 432 144 | |3 \/ \/ 432 144 \/ \/ \/ 432 144 | |3 \/ \/ 432 144 \/ \/ \/ 432 144 | |- - ------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------| \2 2 2 / \2 2 2 / \2 2 2 / \2 2 2 /
$$\left(\frac{3}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} - \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} - \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right) \left(\frac{3}{2} + \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right) \left(\frac{3}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right) \left(\frac{3}{2} - \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} - \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}\right)$$
=
5
$$5$$
5
Respuesta rápida
[src]
___________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 2 2 / 119 I*\/ 11667 31
I* / - - - ------------------------------------------------------------------------ + 2*3 / --- + ----------- + ---------------------------
______________________________________________________________ / 3 ______________________________________________________________ \/ 432 144 ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 119 I*\/ 11667
/ 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + -----------
/ - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________
/ / _______ / / / _______
/ / 119 I*\/ 11667 / / / 119 I*\/ 11667
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
3 \/ \/ 432 144 \/ \/ \/ 432 144
x1 = - - ------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{1} = \frac{3}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} - \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} - \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}$$
___________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 2 / 119 I*\/ 11667 2 31
I* / - - + 2*3 / --- + ----------- + ------------------------------------------------------------------------ + ---------------------------
______________________________________________________________ / 3 \/ 432 144 ______________________________________________________________ ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 119 I*\/ 11667
/ 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + -----------
/ - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________
/ / _______ / / / _______
/ / 119 I*\/ 11667 / / / 119 I*\/ 11667
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
3 \/ \/ 432 144 \/ \/ \/ 432 144
x2 = - + ------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{2} = \frac{3}{2} + \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}$$
___________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 2 / 119 I*\/ 11667 2 31
I* / - - + 2*3 / --- + ----------- + ------------------------------------------------------------------------ + ---------------------------
______________________________________________________________ / 3 \/ 432 144 ______________________________________________________________ ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 119 I*\/ 11667
/ 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + -----------
/ - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________
/ / _______ / / / _______
/ / 119 I*\/ 11667 / / / 119 I*\/ 11667
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
3 \/ \/ 432 144 \/ \/ \/ 432 144
x3 = - + ------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{3} = \frac{3}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}$$
___________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 2 2 / 119 I*\/ 11667 31
I* / - - - ------------------------------------------------------------------------ + 2*3 / --- + ----------- + ---------------------------
______________________________________________________________ / 3 ______________________________________________________________ \/ 432 144 ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 119 I*\/ 11667
/ 1 / 119 I*\/ 11667 31 / / 1 / 119 I*\/ 11667 31 18*3 / --- + -----------
/ - + 2*3 / --- + ----------- + --------------------------- / / - + 2*3 / --- + ----------- + --------------------------- \/ 432 144
/ 3 \/ 432 144 ___________________ / / 3 \/ 432 144 ___________________
/ / _______ / / / _______
/ / 119 I*\/ 11667 / / / 119 I*\/ 11667
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
3 \/ \/ 432 144 \/ \/ \/ 432 144
x4 = - - ------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{4} = \frac{3}{2} - \frac{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} - \frac{2}{\sqrt{\frac{1}{3} + \frac{31}{18 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}} + 2 \sqrt[3]{\frac{119}{432} + \frac{\sqrt{11667} i}{144}}}}{2}$$
x4 = 3/2 - sqrt(1/3 + 31/(18*(119/432 + sqrt(11667)*i/144)^(1/3)) + 2*(119/432 + sqrt(11667)*i/144)^(1/3))/2 + i*sqrt(-2/3 + 31/(18*(119/432 + sqrt(11667)*i/144)^(1/3)) - 2/sqrt(1/3 + 31/(18*(119/432 + sqrt(11667)*i/144)^(1/3)) + 2*(119/432 + sqrt(11667)*i/144)^(1/3)) + 2*(119/432 + sqrt(11667)*i/144)^(1/3))/2
Respuesta numérica
[src]
x1 = 2.46734401161061 - 0.971696473902907*i
x2 = 2.46734401161061 + 0.971696473902907*i
x3 = 0.532655988389391 - 0.653693227900114*i
x4 = 0.532655988389391 + 0.653693227900114*i
x4 = 0.532655988389391 + 0.653693227900114*i