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- La ecuación:
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Ecuación x+9=0
- Ecuación z^3=1+i
-
Ecuación x/(x-2)-7/(x+2)=8/(x^2-4)
-
Ecuación 12-y+2=0
- Expresar {x} en función de y en la ecuación:
- -16*x+3*y=17
- 18*x-14*y=-2
- 18*x+19*y=10
- 11*x-6*y=5
-
Expresiones idénticas
- ((x)/(x- dos))-((x- uno)/(x+ dos))=(ocho /x^ dos - cuatro)
- ((x) dividir por (x menos 2)) menos ((x menos 1) dividir por (x más 2)) es igual a (8 dividir por x al cuadrado menos 4)
- ((x) dividir por (x menos dos)) menos ((x menos uno) dividir por (x más dos)) es igual a (ocho dividir por x en el grado dos menos cuatro)
- ((x)/(x-2))-((x-1)/(x+2))=(8/x2-4)
- x/x-2-x-1/x+2=8/x2-4
- ((x)/(x-2))-((x-1)/(x+2))=(8/x²-4)
- ((x)/(x-2))-((x-1)/(x+2))=(8/x en el grado 2-4)
- x/x-2-x-1/x+2=8/x^2-4
- ((x) dividir por (x-2))-((x-1) dividir por (x+2))=(8 dividir por x^2-4)
-
Expresiones semejantes
- ((x)/(x-2))-((x-1)/(x+2))=(8/x^2+4)
- ((x)/(x-2))-((x+1)/(x+2))=(8/x^2-4)
- ((x)/(x-2))+((x-1)/(x+2))=(8/x^2-4)
- ((x)/(x-2))-((x-1)/(x-2))=(8/x^2-4)
- ((x)/(x+2))-((x-1)/(x+2))=(8/x^2-4)
((x)/(x-2))-((x-1)/(x+2))=(8/x^2-4) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x x - 1 8
----- - ----- = -- - 4
x - 2 x + 2 2
x
$$\frac{x}{x - 2} - \frac{x - 1}{x + 2} = -4 + \frac{8}{x^{2}}$$
Suma y producto de raíces
[src]
suma
_________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________
/ ___________________ / ___________________ / ___________________ / ___________________
/ / _______ / / _______ / / _______ / / _______
/ 907 / 14129 \/ 94186 553 2205 / 907 / 14129 \/ 94186 553 2205 / 907 / 14129 \/ 94186 553 2205 / 907 / 14129 \/ 94186 553 2205
/ --- - 2*3 / ----- + --------- - --------------------------- + ------------------------------------------------------------------------------ / --- - 2*3 / ----- + --------- - --------------------------- + ------------------------------------------------------------------------------ I* / - --- + 2*3 / ----- + --------- + --------------------------- + ------------------------------------------------------------------------------ I* / - --- + 2*3 / ----- + --------- + --------------------------- + ------------------------------------------------------------------------------
/ 96 \/ 1728 96 ___________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________ ________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________ ________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________
/ / _______ / ___________________ / ___________________ / ___________________ / / _______ / ___________________ / ___________________ / / _______ / ___________________ / ___________________ / / _______ / ___________________
/ / 14129 \/ 94186 / / _______ / / _______ / / _______ / / 14129 \/ 94186 / / _______ / / _______ / / 14129 \/ 94186 / / _______ / / _______ / / 14129 \/ 94186 / / _______
/ 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 / 907 / 14129 \/ 94186 553 / 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 / 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 / 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553
/ \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- / --- + 2*3 / ----- + --------- + --------------------------- / --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- / --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- / --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + ---------------------------
/ / 192 \/ 1728 96 ___________________ / 192 \/ 1728 96 ___________________ / 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________ / 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________ / 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________
/ / / _______ / / _______ / / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______
/ / / 14129 \/ 94186 / / 14129 \/ 94186 / / 14129 \/ 94186 / / / 14129 \/ 94186 / / 14129 \/ 94186 / / / 14129 \/ 94186 / / 14129 \/ 94186 / / / 14129 \/ 94186
/ / 72*3 / ----- + --------- / 72*3 / ----- + --------- / 72*3 / ----- + --------- / / 72*3 / ----- + --------- / 72*3 / ----- + --------- / / 72*3 / ----- + --------- / 72*3 / ----- + --------- / / 72*3 / ----- + ---------
5 \/ \/ \/ 1728 96 \/ \/ 1728 96 5 \/ \/ 1728 96 \/ \/ \/ 1728 96 5 \/ \/ 1728 96 \/ \/ \/ 1728 96 5 \/ \/ 1728 96 \/ \/ \/ 1728 96
- -- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------- + - -- - -------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------- + - -- + -------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - -- + -------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------
16 2 2 16 2 2 16 2 2 16 2 2
$$\left(\left(\left(- \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} - \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{907}{96}}}{2} - \frac{5}{16}\right) + \left(- \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{5}{16} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} - \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{907}{96}}}{2}\right)\right) + \left(- \frac{5}{16} + \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{i \sqrt{- \frac{907}{96} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}}}{2}\right)\right) + \left(- \frac{5}{16} + \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} + \frac{i \sqrt{- \frac{907}{96} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}}}{2}\right)$$
=
-5/4
$$- \frac{5}{4}$$
producto
/ _________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________\ | / ___________________ | | / ___________________ | | / ___________________ | | / ___________________ | | / / _______ | | / / _______ | | / / _______ | | / / _______ | | / 907 / 14129 \/ 94186 553 2205 | | / 907 / 14129 \/ 94186 553 2205 | | / 907 / 14129 \/ 94186 553 2205 | | / 907 / 14129 \/ 94186 553 2205 | | / --- - 2*3 / ----- + --------- - --------------------------- + ------------------------------------------------------------------------------ | | / --- - 2*3 / ----- + --------- - --------------------------- + ------------------------------------------------------------------------------ | | I* / - --- + 2*3 / ----- + --------- + --------------------------- + ------------------------------------------------------------------------------ | | I* / - --- + 2*3 / ----- + --------- + --------------------------- + ------------------------------------------------------------------------------ | | / 96 \/ 1728 96 ___________________ ________________________________________________________________ ________________________________________________________________| | ________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________ | | ________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________ | | ________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________ | | / / _______ / ___________________ / ___________________ | | / ___________________ / / _______ / ___________________ | | / ___________________ / / _______ / ___________________ | | / ___________________ / / _______ / ___________________ | | / / 14129 \/ 94186 / / _______ / / _______ | | / / _______ / / 14129 \/ 94186 / / _______ | | / / _______ / / 14129 \/ 94186 / / _______ | | / / _______ / / 14129 \/ 94186 / / _______ | | / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 / 907 / 14129 \/ 94186 553 | | / 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 | | / 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 | | / 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 | | / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- / --- + 2*3 / ----- + --------- + --------------------------- | | / --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- | | / --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- | | / --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- | | / / 192 \/ 1728 96 ___________________ / 192 \/ 1728 96 ___________________ | | / 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________ | | / 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________ | | / 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________ | | / / / _______ / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / / 14129 \/ 94186 / / 14129 \/ 94186 | | / / 14129 \/ 94186 / / / 14129 \/ 94186 | | / / 14129 \/ 94186 / / / 14129 \/ 94186 | | / / 14129 \/ 94186 / / / 14129 \/ 94186 | | / / 72*3 / ----- + --------- / 72*3 / ----- + --------- | | / 72*3 / ----- + --------- / / 72*3 / ----- + --------- | | / 72*3 / ----- + --------- / / 72*3 / ----- + --------- | | / 72*3 / ----- + --------- / / 72*3 / ----- + --------- | | 5 \/ \/ \/ 1728 96 \/ \/ 1728 96 | | 5 \/ \/ 1728 96 \/ \/ \/ 1728 96 | | 5 \/ \/ 1728 96 \/ \/ \/ 1728 96 | | 5 \/ \/ 1728 96 \/ \/ \/ 1728 96 | |- -- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------|*|- -- - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -- + -------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -- + -------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 16 2 2 / \ 16 2 2 / \ 16 2 2 / \ 16 2 2 /
$$\left(- \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{5}{16} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} - \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{907}{96}}}{2}\right) \left(- \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} - \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{907}{96}}}{2} - \frac{5}{16}\right) \left(- \frac{5}{16} + \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{i \sqrt{- \frac{907}{96} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}}}{2}\right) \left(- \frac{5}{16} + \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} + \frac{i \sqrt{- \frac{907}{96} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}}}{2}\right)$$
=
8
$$8$$
8
Respuesta rápida
[src]
_________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 907 / 14129 \/ 94186 553 2205
/ --- - 2*3 / ----- + --------- - --------------------------- + ------------------------------------------------------------------------------
/ 96 \/ 1728 96 ___________________ ________________________________________________________________ ________________________________________________________________
/ / _______ / ___________________ / ___________________
/ / 14129 \/ 94186 / / _______ / / _______
/ 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553 / 907 / 14129 \/ 94186 553
/ \/ 1728 96 256* / --- + 2*3 / ----- + --------- + --------------------------- / --- + 2*3 / ----- + --------- + ---------------------------
/ / 192 \/ 1728 96 ___________________ / 192 \/ 1728 96 ___________________
/ / / _______ / / _______
/ / / 14129 \/ 94186 / / 14129 \/ 94186
/ / 72*3 / ----- + --------- / 72*3 / ----- + ---------
5 \/ \/ \/ 1728 96 \/ \/ 1728 96
x1 = - -- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------
16 2 2
$$x_{1} = - \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{5}{16} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} - \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{907}{96}}}{2}$$
_________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 907 / 14129 \/ 94186 553 2205
/ --- - 2*3 / ----- + --------- - --------------------------- + ------------------------------------------------------------------------------
________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________
/ ___________________ / / _______ / ___________________
/ / _______ / / 14129 \/ 94186 / / _______
/ 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553
/ --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + ---------------------------
/ 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________
/ / _______ / / / _______
/ / 14129 \/ 94186 / / / 14129 \/ 94186
/ 72*3 / ----- + --------- / / 72*3 / ----- + ---------
5 \/ \/ 1728 96 \/ \/ \/ 1728 96
x2 = - -- - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------
16 2 2
$$x_{2} = - \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} - \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{907}{96}}}{2} - \frac{5}{16}$$
___________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 907 / 14129 \/ 94186 553 2205
I* / - --- + 2*3 / ----- + --------- + --------------------------- + ------------------------------------------------------------------------------
________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________
/ ___________________ / / _______ / ___________________
/ / _______ / / 14129 \/ 94186 / / _______
/ 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553
/ --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + ---------------------------
/ 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________
/ / _______ / / / _______
/ / 14129 \/ 94186 / / / 14129 \/ 94186
/ 72*3 / ----- + --------- / / 72*3 / ----- + ---------
5 \/ \/ 1728 96 \/ \/ \/ 1728 96
x3 = - -- + -------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------
16 2 2
$$x_{3} = - \frac{5}{16} + \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} - \frac{i \sqrt{- \frac{907}{96} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}}}{2}$$
___________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _______
/ 907 / 14129 \/ 94186 553 2205
I* / - --- + 2*3 / ----- + --------- + --------------------------- + ------------------------------------------------------------------------------
________________________________________________________________ / 96 \/ 1728 96 ___________________ ________________________________________________________________
/ ___________________ / / _______ / ___________________
/ / _______ / / 14129 \/ 94186 / / _______
/ 907 / 14129 \/ 94186 553 / 72*3 / ----- + --------- / 907 / 14129 \/ 94186 553
/ --- + 2*3 / ----- + --------- + --------------------------- / \/ 1728 96 256* / --- + 2*3 / ----- + --------- + ---------------------------
/ 192 \/ 1728 96 ___________________ / / 192 \/ 1728 96 ___________________
/ / _______ / / / _______
/ / 14129 \/ 94186 / / / 14129 \/ 94186
/ 72*3 / ----- + --------- / / 72*3 / ----- + ---------
5 \/ \/ 1728 96 \/ \/ \/ 1728 96
x4 = - -- + -------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------
16 2 2
$$x_{4} = - \frac{5}{16} + \frac{\sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}}{2} + \frac{i \sqrt{- \frac{907}{96} + \frac{2205}{256 \sqrt{\frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}} + \frac{907}{192}}} + \frac{553}{72 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{94186}}{96} + \frac{14129}{1728}}}}{2}$$
x4 = -5/16 + sqrt(553/(72*(sqrt(94186)/96 + 14129/1728)^(1/3)) + 2*(sqrt(94186)/96 + 14129/1728)^(1/3) + 907/192)/2 + i*sqrt(-907/96 + 2205/(256*sqrt(553/(72*(sqrt(94186)/96 + 14129/1728)^(1/3)) + 2*(sqrt(94186)/96 + 14129/1728)^(1/3) + 907/192)) + 553/(72*(sqrt(94186)/96 + 14129/1728)^(1/3)) + 2*(sqrt(94186)/96 + 14129/1728)^(1/3))/2
Respuesta numérica
[src]
x1 = 1.46492721570697 - 0.471189496654322*i
x2 = 1.46492721570697 + 0.471189496654322*i
x3 = -1.09521015669687
x4 = -3.08464427471707
x4 = -3.08464427471707