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Ecuación x=(x+1)/2
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Ecuación x^2-14*x+33=0
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Ecuación 5-x^2=0
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 14*x-10*y=-4
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Expresiones idénticas
- doscientos cuarenta y tres *x^ cuatro - seis *x^ tres - mil seiscientos cincuenta y seis *x^ dos + trescientos veinte / tres *x+ mil doscientos ochenta = cero
- 243 multiplicar por x en el grado 4 menos 6 multiplicar por x al cubo menos 1656 multiplicar por x al cuadrado más 320 dividir por 3 multiplicar por x más 1280 es igual a 0
- doscientos cuarenta y tres multiplicar por x en el grado cuatro menos seis multiplicar por x en el grado tres menos mil seiscientos cincuenta y seis multiplicar por x en el grado dos más trescientos veinte dividir por tres multiplicar por x más mil doscientos ochenta es igual a cero
- 243*x4-6*x3-1656*x2+320/3*x+1280=0
- 243*x⁴-6*x³-1656*x²+320/3*x+1280=0
- 243*x en el grado 4-6*x en el grado 3-1656*x en el grado 2+320/3*x+1280=0
- 243x^4-6x^3-1656x^2+320/3x+1280=0
- 243x4-6x3-1656x2+320/3x+1280=0
- 243*x^4-6*x^3-1656*x^2+320/3*x+1280=O
- 243*x^4-6*x^3-1656*x^2+320 dividir por 3*x+1280=0
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Expresiones semejantes
- 243*x^4-6*x^3-1656*x^2-320/3*x+1280=0
- 243*x^4+6*x^3-1656*x^2+320/3*x+1280=0
- 243*x^4-6*x^3-1656*x^2+320/3*x-1280=0
- 243*x^4-6*x^3+1656*x^2+320/3*x+1280=0
243*x^4-6*x^3-1656*x^2+320/3*x+1280=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 3 2 320*x
243*x - 6*x - 1656*x + ----- + 1280 = 0
3
$$\left(\frac{320 x}{3} + \left(- 1656 x^{2} + \left(243 x^{4} - 6 x^{3}\right)\right)\right) + 1280 = 0$$
Suma y producto de raíces
[src]
suma
________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________
/ ________________________________ / ________________________________ / ________________________________ / ________________________________ / ________________________________ / ________________________________ / ________________________________ / ________________________________
/ / ________________ / / ________________ / / ________________ / / ________________ / / ________________ / / ________________ / / ________________ / / ________________
1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 67466 188567 1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 188567 67466 1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 188567 67466 1 / 29809 / 338417 I*\/ 31666387298430 67466 188567 / 29809 / 338417 I*\/ 31666387298430 67466
--- - / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- - / ----- - 2*3 / ------- + -------------------- - -------------------------------------------- + ------------------------------------------------------------------------------------------------------------------ + --- + / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- - / ----- - 2*3 / ------- + -------------------- - ------------------------------------------------------------------------------------------------------------------ - -------------------------------------------- + --- + / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- + / ----- - 2*3 / ------- + -------------------- - ------------------------------------------------------------------------------------------------------------------ - -------------------------------------------- + --- + / ----- - 2*3 / ------- + -------------------- - -------------------------------------------- + ------------------------------------------------------------------------------------------------------------------ - / ----- + 2*3 / ------- + -------------------- + --------------------------------------------
162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________ ________________________________________________________________________________________________ 162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________________________________________________________________________ ________________________________ 162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________________________________________________________________________ ________________________________ 162 / 13122 \/ 4782969 129140163 ________________________________ ________________________________________________________________________________________________ / 26244 \/ 4782969 129140163 ________________________________
/ / ________________ / / ________________ / ________________________________ / / ________________ / / ________________________________ / ________________ / / ________________ / / ________________________________ / ________________ / / ________________ / ________________________________ / / ________________
/ / 338417 I*\/ 31666387298430 / / 338417 I*\/ 31666387298430 / / ________________ / / 338417 I*\/ 31666387298430 / / / ________________ / 338417 I*\/ 31666387298430 / / 338417 I*\/ 31666387298430 / / / ________________ / 338417 I*\/ 31666387298430 / / 338417 I*\/ 31666387298430 / / ________________ / / 338417 I*\/ 31666387298430
/ 177147*3 / ------- + -------------------- / 177147*3 / ------- + -------------------- / 29809 / 338417 I*\/ 31666387298430 67466 / 177147*3 / ------- + -------------------- / / 29809 / 338417 I*\/ 31666387298430 67466 177147*3 / ------- + -------------------- / 177147*3 / ------- + -------------------- / / 29809 / 338417 I*\/ 31666387298430 67466 177147*3 / ------- + -------------------- / 177147*3 / ------- + -------------------- / 29809 / 338417 I*\/ 31666387298430 67466 / 177147*3 / ------- + --------------------
\/ \/ 4782969 129140163 / \/ 4782969 129140163 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ \/ 4782969 129140163 / 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ 4782969 129140163 \/ \/ 4782969 129140163 / 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ 4782969 129140163 / \/ 4782969 129140163 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ \/ 4782969 129140163
/ / 26244 \/ 4782969 129140163 ________________________________ / / 26244 \/ 4782969 129140163 ________________________________ / / 26244 \/ 4782969 129140163 ________________________________ / / 26244 \/ 4782969 129140163 ________________________________
/ / / ________________ / / / ________________ / / / ________________ / / / ________________
/ / / 338417 I*\/ 31666387298430 / / / 338417 I*\/ 31666387298430 / / / 338417 I*\/ 31666387298430 / / / 338417 I*\/ 31666387298430
/ / 177147*3 / ------- + -------------------- / / 177147*3 / ------- + -------------------- / / 177147*3 / ------- + -------------------- / / 177147*3 / ------- + --------------------
\/ \/ \/ 4782969 129140163 \/ \/ \/ 4782969 129140163 \/ \/ \/ 4782969 129140163 \/ \/ \/ 4782969 129140163
$$\left(\frac{1}{162} + \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} + \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}\right) + \left(\left(\frac{1}{162} + \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} - \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} + \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}\right) + \left(\left(\frac{1}{162} - \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} - \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} + \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}}\right) + \left(\frac{1}{162} + \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} - \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} - \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}}\right)\right)\right)$$
=
2/81
$$\frac{2}{81}$$
producto
/ ________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________\ | / ________________________________ / ________________________________ | | / ________________________________ / ________________________________ | | / ________________________________ / ________________________________ | | / ________________________________ / ________________________________ | | / / ________________ / / ________________ | | / / ________________ / / ________________ | | / / ________________ / / ________________ | | / / ________________ / / ________________ | | 1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 67466 188567 | | 1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 188567 67466 | | 1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 188567 67466 | | 1 / 29809 / 338417 I*\/ 31666387298430 67466 188567 / 29809 / 338417 I*\/ 31666387298430 67466 | |--- - / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- - / ----- - 2*3 / ------- + -------------------- - -------------------------------------------- + ------------------------------------------------------------------------------------------------------------------ |*|--- + / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- - / ----- - 2*3 / ------- + -------------------- - ------------------------------------------------------------------------------------------------------------------ - -------------------------------------------- |*|--- + / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- + / ----- - 2*3 / ------- + -------------------- - ------------------------------------------------------------------------------------------------------------------ - -------------------------------------------- |*|--- + / ----- - 2*3 / ------- + -------------------- - -------------------------------------------- + ------------------------------------------------------------------------------------------------------------------ - / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- | |162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________ ________________________________________________________________________________________________ | |162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________________________________________________________________________ ________________________________ | |162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________________________________________________________________________ ________________________________ | |162 / 13122 \/ 4782969 129140163 ________________________________ ________________________________________________________________________________________________ / 26244 \/ 4782969 129140163 ________________________________ | | / / ________________ / / ________________ / ________________________________ | | / / ________________ / / ________________________________ / ________________ | | / / ________________ / / ________________________________ / ________________ | | / / ________________ / ________________________________ / / ________________ | | / / 338417 I*\/ 31666387298430 / / 338417 I*\/ 31666387298430 / / ________________ | | / / 338417 I*\/ 31666387298430 / / / ________________ / 338417 I*\/ 31666387298430 | | / / 338417 I*\/ 31666387298430 / / / ________________ / 338417 I*\/ 31666387298430 | | / / 338417 I*\/ 31666387298430 / / ________________ / / 338417 I*\/ 31666387298430 | | / 177147*3 / ------- + -------------------- / 177147*3 / ------- + -------------------- / 29809 / 338417 I*\/ 31666387298430 67466 | | / 177147*3 / ------- + -------------------- / / 29809 / 338417 I*\/ 31666387298430 67466 177147*3 / ------- + -------------------- | | / 177147*3 / ------- + -------------------- / / 29809 / 338417 I*\/ 31666387298430 67466 177147*3 / ------- + -------------------- | | / 177147*3 / ------- + -------------------- / 29809 / 338417 I*\/ 31666387298430 67466 / 177147*3 / ------- + -------------------- | | \/ \/ 4782969 129140163 / \/ 4782969 129140163 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- | | \/ \/ 4782969 129140163 / 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ 4782969 129140163 | | \/ \/ 4782969 129140163 / 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ 4782969 129140163 | | / \/ 4782969 129140163 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ \/ 4782969 129140163 | | / / 26244 \/ 4782969 129140163 ________________________________ | | / / 26244 \/ 4782969 129140163 ________________________________ | | / / 26244 \/ 4782969 129140163 ________________________________ | | / / 26244 \/ 4782969 129140163 ________________________________ | | / / / ________________ | | / / / ________________ | | / / / ________________ | | / / / ________________ | | / / / 338417 I*\/ 31666387298430 | | / / / 338417 I*\/ 31666387298430 | | / / / 338417 I*\/ 31666387298430 | | / / / 338417 I*\/ 31666387298430 | | / / 177147*3 / ------- + -------------------- | | / / 177147*3 / ------- + -------------------- | | / / 177147*3 / ------- + -------------------- | | / / 177147*3 / ------- + -------------------- | \ \/ \/ \/ 4782969 129140163 / \ \/ \/ \/ 4782969 129140163 / \ \/ \/ \/ 4782969 129140163 / \ \/ \/ \/ 4782969 129140163 /
$$\left(\frac{1}{162} - \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} - \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} + \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}}\right) \left(\frac{1}{162} + \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} - \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} - \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}}\right) \left(\frac{1}{162} + \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} - \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} + \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}\right) \left(\frac{1}{162} + \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} + \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}\right)$$
=
1280 ---- 243
$$\frac{1280}{243}$$
1280/243
Respuesta rápida
[src]
________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________ / ________________________________
/ / ________________ / / ________________
1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 67466 188567
x1 = --- - / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- - / ----- - 2*3 / ------- + -------------------- - -------------------------------------------- + ------------------------------------------------------------------------------------------------------------------
162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________ ________________________________________________________________________________________________
/ / ________________ / / ________________ / ________________________________
/ / 338417 I*\/ 31666387298430 / / 338417 I*\/ 31666387298430 / / ________________
/ 177147*3 / ------- + -------------------- / 177147*3 / ------- + -------------------- / 29809 / 338417 I*\/ 31666387298430 67466
\/ \/ 4782969 129140163 / \/ 4782969 129140163 2125764* / ----- + 2*3 / ------- + -------------------- + --------------------------------------------
/ / 26244 \/ 4782969 129140163 ________________________________
/ / / ________________
/ / / 338417 I*\/ 31666387298430
/ / 177147*3 / ------- + --------------------
\/ \/ \/ 4782969 129140163
$$x_{1} = \frac{1}{162} - \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} - \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} + \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}}$$
________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________ / ________________________________
/ / ________________ / / ________________
1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 188567 67466
x2 = --- + / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- - / ----- - 2*3 / ------- + -------------------- - ------------------------------------------------------------------------------------------------------------------ - --------------------------------------------
162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________________________________________________________________________ ________________________________
/ / ________________ / / ________________________________ / ________________
/ / 338417 I*\/ 31666387298430 / / / ________________ / 338417 I*\/ 31666387298430
/ 177147*3 / ------- + -------------------- / / 29809 / 338417 I*\/ 31666387298430 67466 177147*3 / ------- + --------------------
\/ \/ 4782969 129140163 / 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ 4782969 129140163
/ / 26244 \/ 4782969 129140163 ________________________________
/ / / ________________
/ / / 338417 I*\/ 31666387298430
/ / 177147*3 / ------- + --------------------
\/ \/ \/ 4782969 129140163
$$x_{2} = \frac{1}{162} + \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} - \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} - \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}}$$
________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________ / ________________________________
/ / ________________ / / ________________
1 / 29809 / 338417 I*\/ 31666387298430 67466 / 29809 / 338417 I*\/ 31666387298430 188567 67466
x3 = --- + / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- + / ----- - 2*3 / ------- + -------------------- - ------------------------------------------------------------------------------------------------------------------ - --------------------------------------------
162 / 26244 \/ 4782969 129140163 ________________________________ / 13122 \/ 4782969 129140163 ________________________________________________________________________________________________ ________________________________
/ / ________________ / / ________________________________ / ________________
/ / 338417 I*\/ 31666387298430 / / / ________________ / 338417 I*\/ 31666387298430
/ 177147*3 / ------- + -------------------- / / 29809 / 338417 I*\/ 31666387298430 67466 177147*3 / ------- + --------------------
\/ \/ 4782969 129140163 / 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ 4782969 129140163
/ / 26244 \/ 4782969 129140163 ________________________________
/ / / ________________
/ / / 338417 I*\/ 31666387298430
/ / 177147*3 / ------- + --------------------
\/ \/ \/ 4782969 129140163
$$x_{3} = \frac{1}{162} + \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} - \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} + \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}$$
_____________________________________________________________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________
/ ________________________________ / ________________________________
/ / ________________ / / ________________
1 / 29809 / 338417 I*\/ 31666387298430 67466 188567 / 29809 / 338417 I*\/ 31666387298430 67466
x4 = --- + / ----- - 2*3 / ------- + -------------------- - -------------------------------------------- + ------------------------------------------------------------------------------------------------------------------ - / ----- + 2*3 / ------- + -------------------- + --------------------------------------------
162 / 13122 \/ 4782969 129140163 ________________________________ ________________________________________________________________________________________________ / 26244 \/ 4782969 129140163 ________________________________
/ / ________________ / ________________________________ / / ________________
/ / 338417 I*\/ 31666387298430 / / ________________ / / 338417 I*\/ 31666387298430
/ 177147*3 / ------- + -------------------- / 29809 / 338417 I*\/ 31666387298430 67466 / 177147*3 / ------- + --------------------
/ \/ 4782969 129140163 2125764* / ----- + 2*3 / ------- + -------------------- + -------------------------------------------- \/ \/ 4782969 129140163
/ / 26244 \/ 4782969 129140163 ________________________________
/ / / ________________
/ / / 338417 I*\/ 31666387298430
/ / 177147*3 / ------- + --------------------
\/ \/ \/ 4782969 129140163
$$x_{4} = \frac{1}{162} + \sqrt{\frac{29809}{13122} - 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}} + \frac{188567}{2125764 \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}} - \sqrt{\frac{29809}{26244} + \frac{67466}{177147 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}} + 2 \sqrt[3]{\frac{338417}{4782969} + \frac{\sqrt{31666387298430} i}{129140163}}}$$
x4 = 1/162 + sqrt(29809/13122 - 2*(338417/4782969 + sqrt(31666387298430)*i/129140163)^(1/3) + 188567/(2125764*sqrt(29809/26244 + 67466/(177147*(338417/4782969 + sqrt(31666387298430)*i/129140163)^(1/3)) + 2*(338417/4782969 + sqrt(31666387298430)*i/129140163)^(1/3))) - 67466/(177147*(338417/4782969 + sqrt(31666387298430)*i/129140163)^(1/3))) - sqrt(29809/26244 + 67466/(177147*(338417/4782969 + sqrt(31666387298430)*i/129140163)^(1/3)) + 2*(338417/4782969 + sqrt(31666387298430)*i/129140163)^(1/3))
Respuesta numérica
[src]
x1 = 0.985617020527155
x2 = -2.46243053357672
x3 = 2.40422995428619
x4 = -0.902725083211932
x4 = -0.902725083211932