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Ecuación (x+9)^2=36*x
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Ecuación a+120=2000/5
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Ecuación -x/11+x=50/11
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Ecuación x^2+7x+6=0
- Expresar {x} en función de y en la ecuación:
- 12*x+8*y=18
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- -2*x+18*y=13
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Expresiones idénticas
- uno /(x- uno)+ dos /(x- dos)+ tres /(x- tres)+ cuatro /(x- cuatro)+ dos mil veinte /(x- dos mil veinte)= cero
- 1 dividir por (x menos 1) más 2 dividir por (x menos 2) más 3 dividir por (x menos 3) más 4 dividir por (x menos 4) más 2020 dividir por (x menos 2020) es igual a 0
- uno dividir por (x menos uno) más dos dividir por (x menos dos) más tres dividir por (x menos tres) más cuatro dividir por (x menos cuatro) más dos mil veinte dividir por (x menos dos mil veinte) es igual a cero
- 1/x-1+2/x-2+3/x-3+4/x-4+2020/x-2020=0
- 1/(x-1)+2/(x-2)+3/(x-3)+4/(x-4)+2020/(x-2020)=O
- 1 dividir por (x-1)+2 dividir por (x-2)+3 dividir por (x-3)+4 dividir por (x-4)+2020 dividir por (x-2020)=0
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Expresiones semejantes
- 1/(x-1)+2/(x-2)+3/(x-3)+4/(x+4)+2020/(x-2020)=0
- 1/(x+1)+2/(x-2)+3/(x-3)+4/(x-4)+2020/(x-2020)=0
- 1/(x-1)+2/(x-2)+3/(x+3)+4/(x-4)+2020/(x-2020)=0
- 1/(x-1)-2/(x-2)+3/(x-3)+4/(x-4)+2020/(x-2020)=0
- 1/(x-1)+2/(x-2)+3/(x-3)+4/(x-4)-2020/(x-2020)=0
- 1/(x-1)+2/(x-2)-3/(x-3)+4/(x-4)+2020/(x-2020)=0
- 1/(x-1)+2/(x-2)+3/(x-3)-4/(x-4)+2020/(x-2020)=0
- 1/(x-1)+2/(x-2)+3/(x-3)+4/(x-4)+2020/(x+2020)=0
- 1/(x-1)+2/(x+2)+3/(x-3)+4/(x-4)+2020/(x-2020)=0
1/(x-1)+2/(x-2)+3/(x-3)+4/(x-4)+2020/(x-2020)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 2 3 4 2020 ----- + ----- + ----- + ----- + -------- = 0 x - 1 x - 2 x - 3 x - 4 x - 2020
$$\left(\left(\left(\frac{1}{x - 1} + \frac{2}{x - 2}\right) + \frac{3}{x - 3}\right) + \frac{4}{x - 4}\right) + \frac{2020}{x - 2020} = 0$$
Respuesta rápida
[src]
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 49278472871 10520173
/ ------- - 2*3 / ----------- + --------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------
________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ________________________________________________________________________________________________________________________ ___________________________________________
/ ___________________________________________ / / ___________________________________________ / _______________________
/ / _______________________ / / / _______________________ / 15490092731 I*\/ 348850453849740190639
/ 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 412090*3 / ----------- + ---------------------------
/ ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- \/ 1673085400 418271350
/ 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________
/ / _______________________ / / / _______________________
/ / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639
/ 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + ---------------------------
4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350
x1 = ---- - ---------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
812 2 2
$$x_{1} = \frac{4047}{812} - \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2} - \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} - \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 49278472871 10520173
/ ------- - 2*3 / ----------- + --------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------
/ 82418 \/ 1673085400 418271350 ________________________________________________________________________________________________________________________ ___________________________________________ ________________________________________________________________________________________________________________________
/ / ___________________________________________ / _______________________ / ___________________________________________
/ / / _______________________ / 15490092731 I*\/ 348850453849740190639 / / _______________________
/ / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173
/ 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- \/ 1673085400 418271350 / ------- + 2*3 / ----------- + --------------------------- + -------------------------------------------------------
/ / 164836 \/ 1673085400 418271350 ___________________________________________ / 164836 \/ 1673085400 418271350 ___________________________________________
/ / / _______________________ / / _______________________
/ / / 15490092731 I*\/ 348850453849740190639 / / 15490092731 I*\/ 348850453849740190639
/ / 412090*3 / ----------- + --------------------------- / 412090*3 / ----------- + ---------------------------
4047 \/ \/ \/ 1673085400 418271350 \/ \/ 1673085400 418271350
x2 = ---- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------
812 2 2
$$x_{2} = \frac{4047}{812} + \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} - \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} - \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 49278472871
/ ------- - 2*3 / ----------- + --------------------------- - ------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------
________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ___________________________________________ ________________________________________________________________________________________________________________________
/ ___________________________________________ / / _______________________ / ___________________________________________
/ / _______________________ / / 15490092731 I*\/ 348850453849740190639 / / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173
/ ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / \/ 1673085400 418271350 167308540* / ------- + 2*3 / ----------- + --------------------------- + -------------------------------------------------------
/ 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________
/ / _______________________ / / / _______________________
/ / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639
/ 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + ---------------------------
4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350
x3 = ---- + ---------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
812 2 2
$$x_{3} = \frac{4047}{812} - \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} + \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} + \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________
/ / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 49278472871
/ ------- - 2*3 / ----------- + --------------------------- - ------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------
________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ___________________________________________ ________________________________________________________________________________________________________________________
/ ___________________________________________ / / _______________________ / ___________________________________________
/ / _______________________ / / 15490092731 I*\/ 348850453849740190639 / / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173
/ ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / \/ 1673085400 418271350 167308540* / ------- + 2*3 / ----------- + --------------------------- + -------------------------------------------------------
/ 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________
/ / _______________________ / / / _______________________
/ / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639
/ 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + ---------------------------
4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350
x4 = ---- + ---------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
812 2 2
$$x_{4} = \frac{4047}{812} + \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} + \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} + \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}$$
x4 = 4047/812 + sqrt(4888409/82418 - 2*(15490092731/1673085400 + sqrt(348850453849740190639)*i/418271350)^(1/3) + 49278472871/(167308540*sqrt(4888409/164836 + 10520173/(412090*(15490092731/1673085400 + sqrt(348850453849740190639)*i/418271350)^(1/3)) + 2*(15490092731/1673085400 + sqrt(348850453849740190639)*i/418271350)^(1/3))) - 10520173/(412090*(15490092731/1673085400 + sqrt(348850453849740190639)*i/418271350)^(1/3)))/2 + sqrt(4888409/164836 + 10520173/(412090*(15490092731/1673085400 + sqrt(348850453849740190639)*i/418271350)^(1/3)) + 2*(15490092731/1673085400 + sqrt(348850453849740190639)*i/418271350)^(1/3))/2
Suma y producto de raíces
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suma
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________ / ___________________________________________ / ___________________________________________ / ___________________________________________
/ / _______________________ / / _______________________ / / _______________________ / / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 49278472871 10520173 / 4888409 / 15490092731 I*\/ 348850453849740190639 49278472871 10520173 / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 49278472871 / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 49278472871
/ ------- - 2*3 / ----------- + --------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------- / ------- - 2*3 / ----------- + --------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------- / ------- - 2*3 / ----------- + --------------------------- - ------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------- / ------- - 2*3 / ----------- + --------------------------- - ------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------
________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ________________________________________________________________________________________________________________________ ___________________________________________ / 82418 \/ 1673085400 418271350 ________________________________________________________________________________________________________________________ ___________________________________________ ________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ___________________________________________ ________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ___________________________________________ ________________________________________________________________________________________________________________________
/ ___________________________________________ / / ___________________________________________ / _______________________ / / ___________________________________________ / _______________________ / ___________________________________________ / ___________________________________________ / / _______________________ / ___________________________________________ / ___________________________________________ / / _______________________ / ___________________________________________
/ / _______________________ / / / _______________________ / 15490092731 I*\/ 348850453849740190639 / / / _______________________ / 15490092731 I*\/ 348850453849740190639 / / _______________________ / / _______________________ / / 15490092731 I*\/ 348850453849740190639 / / _______________________ / / _______________________ / / 15490092731 I*\/ 348850453849740190639 / / _______________________
/ 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 412090*3 / ----------- + --------------------------- / / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173
/ ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- \/ 1673085400 418271350 / 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- \/ 1673085400 418271350 / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / \/ 1673085400 418271350 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / \/ 1673085400 418271350 167308540* / ------- + 2*3 / ----------- + --------------------------- + -------------------------------------------------------
/ 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________ / 164836 \/ 1673085400 418271350 ___________________________________________ / 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________ / 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________
/ / _______________________ / / / _______________________ / / / _______________________ / / _______________________ / / _______________________ / / / _______________________ / / _______________________ / / / _______________________
/ / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639 / / 15490092731 I*\/ 348850453849740190639 / / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639 / / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639
/ 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + --------------------------- / 412090*3 / ----------- + --------------------------- / 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + --------------------------- / 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + ---------------------------
4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350 4047 \/ \/ \/ 1673085400 418271350 \/ \/ 1673085400 418271350 4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350 4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350
---- - ---------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------- + ---- + ---------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---- + ---------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
812 2 2 812 2 2 812 2 2 812 2 2
$$\left(\left(\left(\frac{4047}{812} + \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} - \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} - \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}\right) + \left(\frac{4047}{812} - \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2} - \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} - \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2}\right)\right) + \left(\frac{4047}{812} - \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} + \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} + \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}\right)\right) + \left(\frac{4047}{812} + \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} + \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} + \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}\right)$$
=
4047 ---- 203
$$\frac{4047}{203}$$
producto
/ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ | / ___________________________________________ | | / ___________________________________________ | | / ___________________________________________ | | / ___________________________________________ | | / / _______________________ | | / / _______________________ | | / / _______________________ | | / / _______________________ | | / 4888409 / 15490092731 I*\/ 348850453849740190639 49278472871 10520173 | | / 4888409 / 15490092731 I*\/ 348850453849740190639 49278472871 10520173 | | / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 49278472871 | | / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 49278472871 | | / ------- - 2*3 / ----------- + --------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------- | | / ------- - 2*3 / ----------- + --------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------- | | / ------- - 2*3 / ----------- + --------------------------- - ------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------- | | / ------- - 2*3 / ----------- + --------------------------- - ------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------- | | ________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ________________________________________________________________________________________________________________________ ___________________________________________ | | / 82418 \/ 1673085400 418271350 ________________________________________________________________________________________________________________________ ___________________________________________ ________________________________________________________________________________________________________________________| | ________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ___________________________________________ ________________________________________________________________________________________________________________________ | | ________________________________________________________________________________________________________________________ / 82418 \/ 1673085400 418271350 ___________________________________________ ________________________________________________________________________________________________________________________ | | / ___________________________________________ / / ___________________________________________ / _______________________ | | / / ___________________________________________ / _______________________ / ___________________________________________ | | / ___________________________________________ / / _______________________ / ___________________________________________ | | / ___________________________________________ / / _______________________ / ___________________________________________ | | / / _______________________ / / / _______________________ / 15490092731 I*\/ 348850453849740190639 | | / / / _______________________ / 15490092731 I*\/ 348850453849740190639 / / _______________________ | | / / _______________________ / / 15490092731 I*\/ 348850453849740190639 / / _______________________ | | / / _______________________ / / 15490092731 I*\/ 348850453849740190639 / / _______________________ | | / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 412090*3 / ----------- + --------------------------- | | / / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 | | / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 | | / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 / 412090*3 / ----------- + --------------------------- / 4888409 / 15490092731 I*\/ 348850453849740190639 10520173 | | / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- \/ 1673085400 418271350 | | / 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- \/ 1673085400 418271350 / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- | | / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / \/ 1673085400 418271350 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- | | / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- / \/ 1673085400 418271350 167308540* / ------- + 2*3 / ----------- + --------------------------- + ------------------------------------------------------- | | / 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________ | | / / 164836 \/ 1673085400 418271350 ___________________________________________ / 164836 \/ 1673085400 418271350 ___________________________________________ | | / 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________ | | / 164836 \/ 1673085400 418271350 ___________________________________________ / / 164836 \/ 1673085400 418271350 ___________________________________________ | | / / _______________________ / / / _______________________ | | / / / _______________________ / / _______________________ | | / / _______________________ / / / _______________________ | | / / _______________________ / / / _______________________ | | / / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639 | | / / / 15490092731 I*\/ 348850453849740190639 / / 15490092731 I*\/ 348850453849740190639 | | / / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639 | | / / 15490092731 I*\/ 348850453849740190639 / / / 15490092731 I*\/ 348850453849740190639 | | / 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + --------------------------- | | / / 412090*3 / ----------- + --------------------------- / 412090*3 / ----------- + --------------------------- | | / 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + --------------------------- | | / 412090*3 / ----------- + --------------------------- / / 412090*3 / ----------- + --------------------------- | |4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350 | |4047 \/ \/ \/ 1673085400 418271350 \/ \/ 1673085400 418271350 | |4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350 | |4047 \/ \/ 1673085400 418271350 \/ \/ \/ 1673085400 418271350 | |---- - ---------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|---- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------|*|---- + ---------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|---- + ---------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \812 2 2 / \812 2 2 / \812 2 2 / \812 2 2 /
$$\left(\frac{4047}{812} - \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2} - \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} - \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2}\right) \left(\frac{4047}{812} + \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} - \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} - \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}\right) \left(\frac{4047}{812} - \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} + \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} + \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}\right) \left(\frac{4047}{812} + \frac{\sqrt{\frac{4888409}{82418} - 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}} + \frac{49278472871}{167308540 \sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}} - \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}}{2} + \frac{\sqrt{\frac{4888409}{164836} + \frac{10520173}{412090 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}} + 2 \sqrt[3]{\frac{15490092731}{1673085400} + \frac{\sqrt{348850453849740190639} i}{418271350}}}}{2}\right)$$
=
24240 ----- 203
$$\frac{24240}{203}$$
24240/203
Respuesta numérica
[src]
x1 = 1.15614694971625 + 9.16243598247277e-30*i
x2 = 2.29337202855985 - 1.30350598638346e-29*i
x3 = 3.45617502427801 + 3.25463800852029e-30*i
x4 = 13.0302665885789 + 6.17985872841579e-31*i
x4 = 13.0302665885789 + 6.17985872841579e-31*i