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Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
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Expresiones idénticas
- x- uno / dos x-x^ dos -x/x- dos = ocho /x^2- cuatro
- x menos 1 dividir por 2x menos x al cuadrado menos x dividir por x menos 2 es igual a 8 dividir por x al cuadrado menos 4
- x menos uno dividir por dos x menos x en el grado dos menos x dividir por x menos dos es igual a ocho dividir por x al cuadrado menos cuatro
- x-1/2x-x2-x/x-2=8/x2-4
- x-1/2x-x²-x/x-2=8/x²-4
- x-1/2x-x en el grado 2-x/x-2=8/x en el grado 2-4
- x-1 dividir por 2x-x^2-x dividir por x-2=8 dividir por x^2-4
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Expresiones semejantes
- x-1/2x-x^2+x/x-2=8/x^2-4
- x-1/2x+x^2-x/x-2=8/x^2-4
- x-1/2x-x^2-x/x+2=8/x^2-4
- x+1/2x-x^2-x/x-2=8/x^2-4
- x-1/2x-x^2-x/x-2=8/x^2+4
x-1/2x-x^2-x/x-2=8/x^2-4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x 2 x 8
x - - - x - - - 2 = -- - 4
2 x 2
x
$$\left(\left(- x^{2} + \left(- \frac{x}{2} + x\right)\right) - \frac{x}{x}\right) - 2 = -4 + \frac{8}{x^{2}}$$
Suma y producto de raíces
[src]
suma
________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________
/ ___________________ / ___________________ / ___________________ / ___________________
/ / _______ / / _______ / / _______ / / _______
/ 35 / 157 I*\/ 90453 17 97 / 35 / 157 I*\/ 90453 17 97 / 35 / 157 I*\/ 90453 17 97 / 35 / 157 I*\/ 90453 17 97
I* / - -- + 2*3 / --- + ----------- + ---------------------------------------------------------------------------- + --------------------------- I* / - -- + 2*3 / --- + ----------- - ---------------------------------------------------------------------------- + --------------------------- I* / - -- + 2*3 / --- + ----------- + ---------------------------------------------------------------------------- + --------------------------- I* / - -- + 2*3 / --- + ----------- - ---------------------------------------------------------------------------- + ---------------------------
_______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________ _______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________ _______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________ _______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________
/ ___________________ / / ___________________ / _______ / ___________________ / / ___________________ / _______ / ___________________ / / ___________________ / _______ / ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 157 I*\/ 90453 / / _______ / / / _______ / 157 I*\/ 90453 / / _______ / / / _______ / 157 I*\/ 90453 / / _______ / / / _______ / 157 I*\/ 90453
/ 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + ----------- / 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + ----------- / 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + ----------- / 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + -----------
/ -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72 / -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72 / -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72 / -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72
/ 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________ / 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________ / 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________ / 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________
/ / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______
/ / 157 I*\/ 90453 / / / 157 I*\/ 90453 / / 157 I*\/ 90453 / / / 157 I*\/ 90453 / / 157 I*\/ 90453 / / / 157 I*\/ 90453 / / 157 I*\/ 90453 / / / 157 I*\/ 90453
/ 18*3 / --- + ----------- / / 18*3 / --- + ----------- / 18*3 / --- + ----------- / / 18*3 / --- + ----------- / 18*3 / --- + ----------- / / 18*3 / --- + ----------- / 18*3 / --- + ----------- / / 18*3 / --- + -----------
1 \/ \/ 108 72 \/ \/ \/ 108 72 1 \/ \/ 108 72 \/ \/ \/ 108 72 1 \/ \/ 108 72 \/ \/ \/ 108 72 1 \/ \/ 108 72 \/ \/ \/ 108 72
- - ------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - ------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------
8 2 2 8 2 2 8 2 2 8 2 2
$$\left(\left(\left(\frac{1}{8} - \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} - \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right) + \left(\frac{1}{8} - \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} - \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right)\right) + \left(\frac{1}{8} - \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right)\right) + \left(\frac{1}{8} + \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} - \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right)$$
=
1/2
$$\frac{1}{2}$$
producto
/ ________________________________________________________________________________________________________________________________________________\ / ________________________________________________________________________________________________________________________________________________\ / ________________________________________________________________________________________________________________________________________________\ / ________________________________________________________________________________________________________________________________________________\ | / ___________________ | | / ___________________ | | / ___________________ | | / ___________________ | | / / _______ | | / / _______ | | / / _______ | | / / _______ | | / 35 / 157 I*\/ 90453 17 97 | | / 35 / 157 I*\/ 90453 17 97 | | / 35 / 157 I*\/ 90453 17 97 | | / 35 / 157 I*\/ 90453 17 97 | | I* / - -- + 2*3 / --- + ----------- + ---------------------------------------------------------------------------- + --------------------------- | | I* / - -- + 2*3 / --- + ----------- - ---------------------------------------------------------------------------- + --------------------------- | | I* / - -- + 2*3 / --- + ----------- + ---------------------------------------------------------------------------- + --------------------------- | | I* / - -- + 2*3 / --- + ----------- - ---------------------------------------------------------------------------- + --------------------------- | | _______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________ | | _______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________ | | _______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________ | | _______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________ | | / ___________________ / / ___________________ / _______ | | / ___________________ / / ___________________ / _______ | | / ___________________ / / ___________________ / _______ | | / ___________________ / / ___________________ / _______ | | / / _______ / / / _______ / 157 I*\/ 90453 | | / / _______ / / / _______ / 157 I*\/ 90453 | | / / _______ / / / _______ / 157 I*\/ 90453 | | / / _______ / / / _______ / 157 I*\/ 90453 | | / 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + ----------- | | / 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + ----------- | | / 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + ----------- | | / 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + ----------- | | / -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72 | | / -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72 | | / -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72 | | / -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72 | | / 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________ | | / 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________ | | / 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________ | | / 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / 157 I*\/ 90453 / / / 157 I*\/ 90453 | | / / 157 I*\/ 90453 / / / 157 I*\/ 90453 | | / / 157 I*\/ 90453 / / / 157 I*\/ 90453 | | / / 157 I*\/ 90453 / / / 157 I*\/ 90453 | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | | / 18*3 / --- + ----------- / / 18*3 / --- + ----------- | |1 \/ \/ 108 72 \/ \/ \/ 108 72 | |1 \/ \/ 108 72 \/ \/ \/ 108 72 | |1 \/ \/ 108 72 \/ \/ \/ 108 72 | |1 \/ \/ 108 72 \/ \/ \/ 108 72 | |- - ------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------| \8 2 2 / \8 2 2 / \8 2 2 / \8 2 2 /
$$\left(\frac{1}{8} - \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} - \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right) \left(\frac{1}{8} - \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} - \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right) \left(\frac{1}{8} - \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right) \left(\frac{1}{8} + \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} - \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}\right)$$
=
8
$$8$$
8
Respuesta rápida
[src]
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 35 / 157 I*\/ 90453 17 97
I* / - -- + 2*3 / --- + ----------- + ---------------------------------------------------------------------------- + ---------------------------
_______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 157 I*\/ 90453
/ 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + -----------
/ -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72
/ 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________
/ / _______ / / / _______
/ / 157 I*\/ 90453 / / / 157 I*\/ 90453
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
1 \/ \/ 108 72 \/ \/ \/ 108 72
x1 = - - ------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------
8 2 2
$$x_{1} = \frac{1}{8} - \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} - \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}$$
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 35 / 157 I*\/ 90453 17 97
I* / - -- + 2*3 / --- + ----------- - ---------------------------------------------------------------------------- + ---------------------------
_______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 157 I*\/ 90453
/ 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + -----------
/ -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72
/ 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________
/ / _______ / / / _______
/ / 157 I*\/ 90453 / / / 157 I*\/ 90453
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
1 \/ \/ 108 72 \/ \/ \/ 108 72
x2 = - + ------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------
8 2 2
$$x_{2} = \frac{1}{8} - \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} - \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}$$
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 35 / 157 I*\/ 90453 17 97
I* / - -- + 2*3 / --- + ----------- + ---------------------------------------------------------------------------- + ---------------------------
_______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 157 I*\/ 90453
/ 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + -----------
/ -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72
/ 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________
/ / _______ / / / _______
/ / 157 I*\/ 90453 / / / 157 I*\/ 90453
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
1 \/ \/ 108 72 \/ \/ \/ 108 72
x3 = - - ------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------
8 2 2
$$x_{3} = \frac{1}{8} - \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}$$
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 35 / 157 I*\/ 90453 17 97
I* / - -- + 2*3 / --- + ----------- - ---------------------------------------------------------------------------- + ---------------------------
_______________________________________________________________ / 24 \/ 108 72 _______________________________________________________________ ___________________
/ ___________________ / / ___________________ / _______
/ / _______ / / / _______ / 157 I*\/ 90453
/ 35 / 157 I*\/ 90453 97 / / 35 / 157 I*\/ 90453 97 18*3 / --- + -----------
/ -- + 2*3 / --- + ----------- + --------------------------- / 32* / -- + 2*3 / --- + ----------- + --------------------------- \/ 108 72
/ 48 \/ 108 72 ___________________ / / 48 \/ 108 72 ___________________
/ / _______ / / / _______
/ / 157 I*\/ 90453 / / / 157 I*\/ 90453
/ 18*3 / --- + ----------- / / 18*3 / --- + -----------
1 \/ \/ 108 72 \/ \/ \/ 108 72
x4 = - + ------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------
8 2 2
$$x_{4} = \frac{1}{8} + \frac{\sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2} + \frac{i \sqrt{- \frac{35}{24} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} - \frac{17}{32 \sqrt{\frac{35}{48} + \frac{97}{18 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}} + 2 \sqrt[3]{\frac{157}{108} + \frac{\sqrt{90453} i}{72}}}}{2}$$
x4 = 1/8 + sqrt(35/48 + 97/(18*(157/108 + sqrt(90453)*i/72)^(1/3)) + 2*(157/108 + sqrt(90453)*i/72)^(1/3))/2 + i*sqrt(-35/24 + 97/(18*(157/108 + sqrt(90453)*i/72)^(1/3)) - 17/(32*sqrt(35/48 + 97/(18*(157/108 + sqrt(90453)*i/72)^(1/3)) + 2*(157/108 + sqrt(90453)*i/72)^(1/3))) + 2*(157/108 + sqrt(90453)*i/72)^(1/3))/2
Respuesta numérica
[src]
x1 = -1.17362845253991 + 1.09119042266943*i
x2 = 1.42362845253991 + 1.04327617482951*i
x3 = -1.17362845253991 - 1.09119042266943*i
x4 = 1.42362845253991 - 1.04327617482951*i
x4 = 1.42362845253991 - 1.04327617482951*i