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Ecuación x+3=-9*x
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Expresiones idénticas
- uno /(x- uno)+ tres /(x- dos)+ tres (x- tres)+ uno /(x- cuatro)= cero
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- uno dividir por (x menos uno) más tres dividir por (x menos dos) más tres (x menos tres) más uno dividir por (x menos cuatro) es igual a cero
- 1/x-1+3/x-2+3x-3+1/x-4=0
- 1/(x-1)+3/(x-2)+3(x-3)+1/(x-4)=O
- 1 dividir por (x-1)+3 dividir por (x-2)+3(x-3)+1 dividir por (x-4)=0
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Expresiones semejantes
- 1/(x-1)-3/(x-2)+3(x-3)+1/(x-4)=0
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- 1/(x-1)+3/(x-2)+3(x-3)+1/(x+4)=0
- 1/(x-1)+3/(x+2)+3(x-3)+1/(x-4)=0
- 1/(x+1)+3/(x-2)+3(x-3)+1/(x-4)=0
- 1/(x-1)+3/(x-2)-3(x-3)+1/(x-4)=0
- 1/(x-1)+3/(x-2)+3(x+3)+1/(x-4)=0
1/(x-1)+3/(x-2)+3(x-3)+1/(x-4)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 3 1 ----- + ----- + 3*(x - 3) + ----- = 0 x - 1 x - 2 x - 4
$$\left(3 \left(x - 3\right) + \left(\frac{1}{x - 1} + \frac{3}{x - 2}\right)\right) + \frac{1}{x - 4} = 0$$
Suma y producto de raíces
[src]
suma
____________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________
/ _____________________ / | _____________________ | / | _____________________ | / _____________________
/ / _____ / | / _____ | / | / _____ | / / _____
/ 10 / 671 11*\/ 185 2 88 / |10 / 671 11*\/ 185 2 88 | / |10 / 671 11*\/ 185 2 88 | / 10 / 671 11*\/ 185 2 88
/ -- - 2*3 / - ---- + ---------- + ------------------------------------------------------------------------------ + ----------------------------- I* / |-- - 2*3 / - ---- + ---------- - ------------------------------------------------------------------------------ + -----------------------------| I* / |-- - 2*3 / - ---- + ---------- - ------------------------------------------------------------------------------ + -----------------------------| / -- - 2*3 / - ---- + ---------- + ------------------------------------------------------------------------------ + -----------------------------
/ 9 \/ 2916 324 __________________________________________________________________ _____________________ __________________________________________________________________ __________________________________________________________________ / |9 \/ 2916 324 __________________________________________________________________ _____________________| __________________________________________________________________ / |9 \/ 2916 324 __________________________________________________________________ _____________________| __________________________________________________________________ / 9 \/ 2916 324 __________________________________________________________________ _____________________
/ / _____________________ / _____ / _____________________ / _____________________ / | / _____________________ / _____ | / _____________________ / | / _____________________ / _____ | / _____________________ / / _____________________ / _____
/ / / _____ / 671 11*\/ 185 / / _____ / / _____ / | / / _____ / 671 11*\/ 185 | / / _____ / | / / _____ / 671 11*\/ 185 | / / _____ / / / _____ / 671 11*\/ 185
/ / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- / 5 / 671 11*\/ 185 88 / 5 / 671 11*\/ 185 88 / | / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- | / 5 / 671 11*\/ 185 88 / | / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- | / 5 / 671 11*\/ 185 88 / / 5 / 671 11*\/ 185 88 81*3 / - ---- + ----------
/ 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 / - + 2*3 / - ---- + ---------- - ----------------------------- / - + 2*3 / - ---- + ---------- - ----------------------------- / | 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 | / - + 2*3 / - ---- + ---------- - ----------------------------- / | 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 | / - + 2*3 / - ---- + ---------- - ----------------------------- / 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324
/ / 9 \/ 2916 324 _____________________ / 9 \/ 2916 324 _____________________ / 9 \/ 2916 324 _____________________ / | / 9 \/ 2916 324 _____________________ | / 9 \/ 2916 324 _____________________ / | / 9 \/ 2916 324 _____________________ | / 9 \/ 2916 324 _____________________ / / 9 \/ 2916 324 _____________________
/ / / _____ / / _____ / / _____ / | / / _____ | / / _____ / | / / _____ | / / _____ / / / _____
/ / / 671 11*\/ 185 / / 671 11*\/ 185 / / 671 11*\/ 185 / | / / 671 11*\/ 185 | / / 671 11*\/ 185 / | / / 671 11*\/ 185 | / / 671 11*\/ 185 / / / 671 11*\/ 185
/ / 81*3 / - ---- + ---------- / 81*3 / - ---- + ---------- / 81*3 / - ---- + ---------- / | / 81*3 / - ---- + ---------- | / 81*3 / - ---- + ---------- / | / 81*3 / - ---- + ---------- | / 81*3 / - ---- + ---------- / / 81*3 / - ---- + ----------
5 \/ \/ \/ 2916 324 \/ \/ 2916 324 5 \/ \/ 2916 324 \/ | \/ \/ 2916 324 | 5 \/ \/ 2916 324 \/ | \/ \/ 2916 324 | 5 \/ \/ 2916 324 \/ \/ \/ 2916 324
- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------- + - + ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ---------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - ---------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2 2 2 2 2 2 2 2 2
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}}}{2} - \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2}\right) + \left(\left(\left(- \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}}}{2} + \frac{5}{2}\right) + \left(\frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2} - \frac{i \sqrt{\left|{- \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}} - 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}\right|}}{2}\right)\right) + \left(\frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2} + \frac{i \sqrt{\left|{- \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}} - 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}\right|}}{2}\right)\right)$$
=
10
$$10$$
producto
/ ____________________________________________________________________________________________________________________________________________________ \ / ______________________________________________________________________________________________________________________________________________________\ / ______________________________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________________________\ | / _____________________ | | / | _____________________ | | | / | _____________________ | | | / _____________________ | | / / _____ | | / | / _____ | | | / | / _____ | | | / / _____ | | / 10 / 671 11*\/ 185 2 88 | | / |10 / 671 11*\/ 185 2 88 | | | / |10 / 671 11*\/ 185 2 88 | | | / 10 / 671 11*\/ 185 2 88 | | / -- - 2*3 / - ---- + ---------- + ------------------------------------------------------------------------------ + ----------------------------- | | I* / |-- - 2*3 / - ---- + ---------- - ------------------------------------------------------------------------------ + -----------------------------| | | I* / |-- - 2*3 / - ---- + ---------- - ------------------------------------------------------------------------------ + -----------------------------| | | / -- - 2*3 / - ---- + ---------- + ------------------------------------------------------------------------------ + ----------------------------- | | / 9 \/ 2916 324 __________________________________________________________________ _____________________ __________________________________________________________________| | __________________________________________________________________ / |9 \/ 2916 324 __________________________________________________________________ _____________________| | | __________________________________________________________________ / |9 \/ 2916 324 __________________________________________________________________ _____________________| | | __________________________________________________________________ / 9 \/ 2916 324 __________________________________________________________________ _____________________ | | / / _____________________ / _____ / _____________________ | | / _____________________ / | / _____________________ / _____ | | | / _____________________ / | / _____________________ / _____ | | | / _____________________ / / _____________________ / _____ | | / / / _____ / 671 11*\/ 185 / / _____ | | / / _____ / | / / _____ / 671 11*\/ 185 | | | / / _____ / | / / _____ / 671 11*\/ 185 | | | / / _____ / / / _____ / 671 11*\/ 185 | | / / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- / 5 / 671 11*\/ 185 88 | | / 5 / 671 11*\/ 185 88 / | / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- | | | / 5 / 671 11*\/ 185 88 / | / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- | | | / 5 / 671 11*\/ 185 88 / / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- | | / 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 / - + 2*3 / - ---- + ---------- - ----------------------------- | | / - + 2*3 / - ---- + ---------- - ----------------------------- / | 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 | | | / - + 2*3 / - ---- + ---------- - ----------------------------- / | 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 | | | / - + 2*3 / - ---- + ---------- - ----------------------------- / 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 | | / / 9 \/ 2916 324 _____________________ / 9 \/ 2916 324 _____________________ | | / 9 \/ 2916 324 _____________________ / | / 9 \/ 2916 324 _____________________ | | | / 9 \/ 2916 324 _____________________ / | / 9 \/ 2916 324 _____________________ | | | / 9 \/ 2916 324 _____________________ / / 9 \/ 2916 324 _____________________ | | / / / _____ / / _____ | | / / _____ / | / / _____ | | | / / _____ / | / / _____ | | | / / _____ / / / _____ | | / / / 671 11*\/ 185 / / 671 11*\/ 185 | | / / 671 11*\/ 185 / | / / 671 11*\/ 185 | | | / / 671 11*\/ 185 / | / / 671 11*\/ 185 | | | / / 671 11*\/ 185 / / / 671 11*\/ 185 | | / / 81*3 / - ---- + ---------- / 81*3 / - ---- + ---------- | | / 81*3 / - ---- + ---------- / | / 81*3 / - ---- + ---------- | | | / 81*3 / - ---- + ---------- / | / 81*3 / - ---- + ---------- | | | / 81*3 / - ---- + ---------- / / 81*3 / - ---- + ---------- | |5 \/ \/ \/ 2916 324 \/ \/ 2916 324 | |5 \/ \/ 2916 324 \/ | \/ \/ 2916 324 | | |5 \/ \/ 2916 324 \/ | \/ \/ 2916 324 | | |5 \/ \/ 2916 324 \/ \/ \/ 2916 324 | |- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*|- + ---------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ---------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ---------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------| \2 2 2 / \2 2 2 / \2 2 2 / \2 2 2 /
$$\left(- \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}}}{2} + \frac{5}{2}\right) \left(\frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2} - \frac{i \sqrt{\left|{- \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}} - 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}\right|}}{2}\right) \left(\frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2} + \frac{i \sqrt{\left|{- \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}} - 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}\right|}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}}}{2} - \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2}\right)$$
=
2/3 _________________ _________________ 2/3
3 _____ 3 ___ 2/3 _____ 3 _____ 3 ____ / _____\ 2/3 3 / _____ 2/3 _____ 3 / _____ 3 ___ 2/3 _____ 3 ____ _____ / _____\
3821033*\/ 242 - 304305*\/ 2 *11 - 208389*\/ 185 *\/ 242 - 57340*\/ 11 *\-61 + 9*\/ 185 / + 1009184*2 *\/ -61 + 9*\/ 185 - 148896*2 *\/ 185 *\/ -61 + 9*\/ 185 + 1965*\/ 2 *11 *\/ 185 + 8460*\/ 11 *\/ 185 *\-61 + 9*\/ 185 /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2/3 _________________ _________________ 2/3\
| 3 _____ _____ 3 _____ 3 ____ / _____\ 2/3 3 / _____ 2/3 _____ 3 / _____ 3 ____ _____ / _____\ |
6*\18706*\/ 242 - 1098*\/ 185 *\/ 242 - 305*\/ 11 *\-61 + 9*\/ 185 / + 5368*2 *\/ -61 + 9*\/ 185 - 792*2 *\/ 185 *\/ -61 + 9*\/ 185 + 45*\/ 11 *\/ 185 *\-61 + 9*\/ 185 / /
$$\frac{- 208389 \sqrt{185} \sqrt[3]{242} - 148896 \sqrt{185} \cdot 2^{\frac{2}{3}} \sqrt[3]{-61 + 9 \sqrt{185}} - 57340 \sqrt[3]{11} \left(-61 + 9 \sqrt{185}\right)^{\frac{2}{3}} - 304305 \cdot 11^{\frac{2}{3}} \sqrt[3]{2} + 1965 \cdot 11^{\frac{2}{3}} \sqrt{185} \sqrt[3]{2} + 8460 \sqrt[3]{11} \sqrt{185} \left(-61 + 9 \sqrt{185}\right)^{\frac{2}{3}} + 1009184 \cdot 2^{\frac{2}{3}} \sqrt[3]{-61 + 9 \sqrt{185}} + 3821033 \sqrt[3]{242}}{6 \left(- 1098 \sqrt{185} \sqrt[3]{242} - 792 \sqrt{185} \cdot 2^{\frac{2}{3}} \sqrt[3]{-61 + 9 \sqrt{185}} - 305 \sqrt[3]{11} \left(-61 + 9 \sqrt{185}\right)^{\frac{2}{3}} + 45 \sqrt[3]{11} \sqrt{185} \left(-61 + 9 \sqrt{185}\right)^{\frac{2}{3}} + 5368 \cdot 2^{\frac{2}{3}} \sqrt[3]{-61 + 9 \sqrt{185}} + 18706 \sqrt[3]{242}\right)}$$
(3821033*242^(1/3) - 304305*2^(1/3)*11^(2/3) - 208389*sqrt(185)*242^(1/3) - 57340*11^(1/3)*(-61 + 9*sqrt(185))^(2/3) + 1009184*2^(2/3)*(-61 + 9*sqrt(185))^(1/3) - 148896*2^(2/3)*sqrt(185)*(-61 + 9*sqrt(185))^(1/3) + 1965*2^(1/3)*11^(2/3)*sqrt(185) + 8460*11^(1/3)*sqrt(185)*(-61 + 9*sqrt(185))^(2/3))/(6*(18706*242^(1/3) - 1098*sqrt(185)*242^(1/3) - 305*11^(1/3)*(-61 + 9*sqrt(185))^(2/3) + 5368*2^(2/3)*(-61 + 9*sqrt(185))^(1/3) - 792*2^(2/3)*sqrt(185)*(-61 + 9*sqrt(185))^(1/3) + 45*11^(1/3)*sqrt(185)*(-61 + 9*sqrt(185))^(2/3)))
Respuesta rápida
[src]
____________________________________________________________________________________________________________________________________________________
/ _____________________
/ / _____
/ 10 / 671 11*\/ 185 2 88
/ -- - 2*3 / - ---- + ---------- + ------------------------------------------------------------------------------ + -----------------------------
/ 9 \/ 2916 324 __________________________________________________________________ _____________________ __________________________________________________________________
/ / _____________________ / _____ / _____________________
/ / / _____ / 671 11*\/ 185 / / _____
/ / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- / 5 / 671 11*\/ 185 88
/ 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 / - + 2*3 / - ---- + ---------- - -----------------------------
/ / 9 \/ 2916 324 _____________________ / 9 \/ 2916 324 _____________________
/ / / _____ / / _____
/ / / 671 11*\/ 185 / / 671 11*\/ 185
/ / 81*3 / - ---- + ---------- / 81*3 / - ---- + ----------
5 \/ \/ \/ 2916 324 \/ \/ 2916 324
x1 = - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------
2 2 2
$$x_{1} = - \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}}}{2} + \frac{5}{2}$$
______________________________________________________________________________________________________________________________________________________
/ | _____________________ |
/ | / _____ |
/ |10 / 671 11*\/ 185 2 88 |
I* / |-- - 2*3 / - ---- + ---------- - ------------------------------------------------------------------------------ + -----------------------------|
__________________________________________________________________ / |9 \/ 2916 324 __________________________________________________________________ _____________________|
/ _____________________ / | / _____________________ / _____ |
/ / _____ / | / / _____ / 671 11*\/ 185 |
/ 5 / 671 11*\/ 185 88 / | / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- |
/ - + 2*3 / - ---- + ---------- - ----------------------------- / | 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 |
/ 9 \/ 2916 324 _____________________ / | / 9 \/ 2916 324 _____________________ |
/ / _____ / | / / _____ |
/ / 671 11*\/ 185 / | / / 671 11*\/ 185 |
/ 81*3 / - ---- + ---------- / | / 81*3 / - ---- + ---------- |
5 \/ \/ 2916 324 \/ | \/ \/ 2916 324 |
x2 = - + ---------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{2} = \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2} - \frac{i \sqrt{\left|{- \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}} - 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}\right|}}{2}$$
______________________________________________________________________________________________________________________________________________________
/ | _____________________ |
/ | / _____ |
/ |10 / 671 11*\/ 185 2 88 |
I* / |-- - 2*3 / - ---- + ---------- - ------------------------------------------------------------------------------ + -----------------------------|
__________________________________________________________________ / |9 \/ 2916 324 __________________________________________________________________ _____________________|
/ _____________________ / | / _____________________ / _____ |
/ / _____ / | / / _____ / 671 11*\/ 185 |
/ 5 / 671 11*\/ 185 88 / | / 5 / 671 11*\/ 185 88 81*3 / - ---- + ---------- |
/ - + 2*3 / - ---- + ---------- - ----------------------------- / | 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324 |
/ 9 \/ 2916 324 _____________________ / | / 9 \/ 2916 324 _____________________ |
/ / _____ / | / / _____ |
/ / 671 11*\/ 185 / | / / 671 11*\/ 185 |
/ 81*3 / - ---- + ---------- / | / 81*3 / - ---- + ---------- |
5 \/ \/ 2916 324 \/ | \/ \/ 2916 324 |
x3 = - + ---------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{3} = \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2} + \frac{i \sqrt{\left|{- \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}} - 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}\right|}}{2}$$
____________________________________________________________________________________________________________________________________________________
/ _____________________
/ / _____
/ 10 / 671 11*\/ 185 2 88
/ -- - 2*3 / - ---- + ---------- + ------------------------------------------------------------------------------ + -----------------------------
__________________________________________________________________ / 9 \/ 2916 324 __________________________________________________________________ _____________________
/ _____________________ / / _____________________ / _____
/ / _____ / / / _____ / 671 11*\/ 185
/ 5 / 671 11*\/ 185 88 / / 5 / 671 11*\/ 185 88 81*3 / - ---- + ----------
/ - + 2*3 / - ---- + ---------- - ----------------------------- / 3* / - + 2*3 / - ---- + ---------- - ----------------------------- \/ 2916 324
/ 9 \/ 2916 324 _____________________ / / 9 \/ 2916 324 _____________________
/ / _____ / / / _____
/ / 671 11*\/ 185 / / / 671 11*\/ 185
/ 81*3 / - ---- + ---------- / / 81*3 / - ---- + ----------
5 \/ \/ 2916 324 \/ \/ \/ 2916 324
x4 = - - ---------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2
$$x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}} + \frac{10}{9} + \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{2}{3 \sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}}}{2} - \frac{\sqrt{- \frac{88}{81 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}} + \frac{5}{9} + 2 \sqrt[3]{- \frac{671}{2916} + \frac{11 \sqrt{185}}{324}}}}{2} + \frac{5}{2}$$
x4 = -sqrt(-2*(-671/2916 + 11*sqrt(185)/324)^(1/3) + 10/9 + 88/(81*(-671/2916 + 11*sqrt(185)/324)^(1/3)) + 2/(3*sqrt(-88/(81*(-671/2916 + 11*sqrt(185)/324)^(1/3)) + 5/9 + 2*(-671/2916 + 11*sqrt(185)/324)^(1/3))))/2 - sqrt(-88/(81*(-671/2916 + 11*sqrt(185)/324)^(1/3)) + 5/9 + 2*(-671/2916 + 11*sqrt(185)/324)^(1/3))/2 + 5/2
Respuesta numérica
[src]
x1 = 3.77105981897057
x2 = 2.56118645326236 - 0.974183946013722*i
x3 = 2.56118645326236 + 0.974183946013722*i
x4 = 1.10656727450471
x4 = 1.10656727450471