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Ecuación 3^x=7
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Ecuación 2+3x=-7x-5
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Ecuación 3-x/3=x/2
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Ecuación 3/(x-5)+8/x=2
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- -20*x-6*y=4
- 2*x-15*y=-1
- 8*x+3*y=4
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Expresiones idénticas
- (ciento setenta y cuatro *x)-((cuatro cero x^ dos)/ dos)-((uno ,7x^ tres)/ seis)+((diez (x- cuatro)^4)/ veinticuatro)=0
- (174 multiplicar por x) menos ((40x al cuadrado ) dividir por 2) menos ((1,7x al cubo ) dividir por 6) más ((10(x menos 4) en el grado 4) dividir por 24) es igual a 0
- (ciento setenta y cuatro multiplicar por x) menos ((cuatro cero x en el grado dos) dividir por dos) menos ((uno ,7x en el grado tres) dividir por seis) más ((diez (x menos cuatro) en el grado 4) dividir por veinticuatro) es igual a 0
- (174*x)-((40x2)/2)-((1,7x3)/6)+((10(x-4)4)/24)=0
- 174*x-40x2/2-1,7x3/6+10x-44/24=0
- (174*x)-((40x²)/2)-((1,7x³)/6)+((10(x-4)⁴)/24)=0
- (174*x)-((40x en el grado 2)/2)-((1,7x en el grado 3)/6)+((10(x-4) en el grado 4)/24)=0
- (174x)-((40x^2)/2)-((1,7x^3)/6)+((10(x-4)^4)/24)=0
- (174x)-((40x2)/2)-((1,7x3)/6)+((10(x-4)4)/24)=0
- 174x-40x2/2-1,7x3/6+10x-44/24=0
- 174x-40x^2/2-1,7x^3/6+10x-4^4/24=0
- (174*x)-((40x^2)/2)-((1,7x^3)/6)+((10(x-4)^4)/24)=O
- (174*x)-((40x^2) dividir por 2)-((1,7x^3) dividir por 6)+((10(x-4)^4) dividir por 24)=0
-
Expresiones semejantes
- (174*x)-((40x^2)/2)+((1,7x^3)/6)+((10(x-4)^4)/24)=0
- (174*x)-((40x^2)/2)-((1,7x^3)/6)-((10(x-4)^4)/24)=0
- (174*x)+((40x^2)/2)-((1,7x^3)/6)+((10(x-4)^4)/24)=0
- (174*x)-((40x^2)/2)-((1,7x^3)/6)+((10(x+4)^4)/24)=0
(174*x)-((40x^2)/2)-((1,7x^3)/6)+((10(x-4)^4)/24)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 3\
|17*x |
2 |-----| 4
40*x \ 10 / 10*(x - 4)
174*x - ----- - ------- + ----------- = 0
2 6 24
$$\frac{10 \left(x - 4\right)^{4}}{24} + \left(- \frac{\frac{17}{10} x^{3}}{6} + \left(174 x - \frac{40 x^{2}}{2}\right)\right) = 0$$
Respuesta rápida
[src]
_____________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________
/ / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 2271713
/ ----- - 2*3 / ------- + -------------------- - ----------------------------------------- + -------------------------------------------------------------------------------------------------------------
_____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________
/ ________________________________ / / ________________ / ________________________________
/ / ________________ / / 4527004 2*\/ 33285351859710 / / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468
/ ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + -----------------------------------------
/ 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________
/ / ________________ / / / ________________
/ / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710
/ 375*3 / ------- + -------------------- / / 375*3 / ------- + --------------------
417 \/ \/ 625 28125 \/ \/ \/ 625 28125
x1 = --- + ------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
100 2 2
$$x_{1} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}} - \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{93889}{1250}}}{2} + \frac{417}{100} + \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}$$
_____________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________
/ / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 2271713
/ ----- - 2*3 / ------- + -------------------- - ----------------------------------------- + -------------------------------------------------------------------------------------------------------------
_____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________
/ ________________________________ / / ________________ / ________________________________
/ / ________________ / / 4527004 2*\/ 33285351859710 / / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468
/ ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + -----------------------------------------
/ 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________
/ / ________________ / / / ________________
/ / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710
/ 375*3 / ------- + -------------------- / / 375*3 / ------- + --------------------
417 \/ \/ 625 28125 \/ \/ \/ 625 28125
x2 = --- + ------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
100 2 2
$$x_{2} = \frac{\sqrt{- 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}} - \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{93889}{1250}}}{2} + \frac{417}{100} + \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________
/ / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 2271713
I* / - ----- + 2*3 / ------- + -------------------- + ----------------------------------------- + -------------------------------------------------------------------------------------------------------------
_____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________
/ ________________________________ / / ________________ / ________________________________
/ / ________________ / / 4527004 2*\/ 33285351859710 / / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468
/ ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + -----------------------------------------
/ 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________
/ / ________________ / / / ________________
/ / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710
/ 375*3 / ------- + -------------------- / / 375*3 / ------- + --------------------
417 \/ \/ 625 28125 \/ \/ \/ 625 28125
x3 = --- - ------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
100 2 2
$$x_{3} = - \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2} + \frac{417}{100} - \frac{i \sqrt{- \frac{93889}{1250} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________
/ / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 2271713
I* / - ----- + 2*3 / ------- + -------------------- + ----------------------------------------- + -------------------------------------------------------------------------------------------------------------
_____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________
/ ________________________________ / / ________________ / ________________________________
/ / ________________ / / 4527004 2*\/ 33285351859710 / / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468
/ ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + -----------------------------------------
/ 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________
/ / ________________ / / / ________________
/ / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710
/ 375*3 / ------- + -------------------- / / 375*3 / ------- + --------------------
417 \/ \/ 625 28125 \/ \/ \/ 625 28125
x4 = --- - ------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
100 2 2
$$x_{4} = - \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2} + \frac{417}{100} + \frac{i \sqrt{- \frac{93889}{1250} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}$$
x4 = -sqrt(93889/2500 + 280468/(375*(2*sqrt(33285351859710)/28125 + 4527004/625)^(1/3)) + 2*(2*sqrt(33285351859710)/28125 + 4527004/625)^(1/3))/2 + 417/100 + i*sqrt(-93889/1250 + 2271713/(62500*sqrt(93889/2500 + 280468/(375*(2*sqrt(33285351859710)/28125 + 4527004/625)^(1/3)) + 2*(2*sqrt(33285351859710)/28125 + 4527004/625)^(1/3))) + 280468/(375*(2*sqrt(33285351859710)/28125 + 4527004/625)^(1/3)) + 2*(2*sqrt(33285351859710)/28125 + 4527004/625)^(1/3))/2
Suma y producto de raíces
[src]
suma
_____________________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________
/ ________________________________ / ________________________________ / ________________________________ / ________________________________
/ / ________________ / / ________________ / / ________________ / / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 2271713 / 93889 / 4527004 2*\/ 33285351859710 280468 2271713 / 93889 / 4527004 2*\/ 33285351859710 280468 2271713 / 93889 / 4527004 2*\/ 33285351859710 280468 2271713
/ ----- - 2*3 / ------- + -------------------- - ----------------------------------------- + ------------------------------------------------------------------------------------------------------------- / ----- - 2*3 / ------- + -------------------- - ----------------------------------------- + ------------------------------------------------------------------------------------------------------------- I* / - ----- + 2*3 / ------- + -------------------- + ----------------------------------------- + ------------------------------------------------------------------------------------------------------------- I* / - ----- + 2*3 / ------- + -------------------- + ----------------------------------------- + -------------------------------------------------------------------------------------------------------------
_____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________ _____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________ _____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________ _____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________
/ ________________________________ / / ________________ / ________________________________ / ________________________________ / / ________________ / ________________________________ / ________________________________ / / ________________ / ________________________________ / ________________________________ / / ________________ / ________________________________
/ / ________________ / / 4527004 2*\/ 33285351859710 / / ________________ / / ________________ / / 4527004 2*\/ 33285351859710 / / ________________ / / ________________ / / 4527004 2*\/ 33285351859710 / / ________________ / / ________________ / / 4527004 2*\/ 33285351859710 / / ________________
/ 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468 / 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468 / 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468 / 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468
/ ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + -----------------------------------------
/ 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________ / 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________ / 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________ / 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________
/ / ________________ / / / ________________ / / ________________ / / / ________________ / / ________________ / / / ________________ / / ________________ / / / ________________
/ / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710 / / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710 / / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710 / / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710
/ 375*3 / ------- + -------------------- / / 375*3 / ------- + -------------------- / 375*3 / ------- + -------------------- / / 375*3 / ------- + -------------------- / 375*3 / ------- + -------------------- / / 375*3 / ------- + -------------------- / 375*3 / ------- + -------------------- / / 375*3 / ------- + --------------------
417 \/ \/ 625 28125 \/ \/ \/ 625 28125 417 \/ \/ 625 28125 \/ \/ \/ 625 28125 417 \/ \/ 625 28125 \/ \/ \/ 625 28125 417 \/ \/ 625 28125 \/ \/ \/ 625 28125
--- + ------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --- + ------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --- - ------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --- - ------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
100 2 2 100 2 2 100 2 2 100 2 2
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}} - \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{93889}{1250}}}{2} + \frac{417}{100} + \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right) + \left(\frac{\sqrt{- 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}} - \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{93889}{1250}}}{2} + \frac{417}{100} + \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right)\right) + \left(- \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2} + \frac{417}{100} - \frac{i \sqrt{- \frac{93889}{1250} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right)\right) + \left(- \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2} + \frac{417}{100} + \frac{i \sqrt{- \frac{93889}{1250} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right)$$
=
417 --- 25
$$\frac{417}{25}$$
producto
/ _____________________________________________________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________________________________________\ | / ________________________________ | | / ________________________________ | | / ________________________________ | | / ________________________________ | | / / ________________ | | / / ________________ | | / / ________________ | | / / ________________ | | / 93889 / 4527004 2*\/ 33285351859710 280468 2271713 | | / 93889 / 4527004 2*\/ 33285351859710 280468 2271713 | | / 93889 / 4527004 2*\/ 33285351859710 280468 2271713 | | / 93889 / 4527004 2*\/ 33285351859710 280468 2271713 | | / ----- - 2*3 / ------- + -------------------- - ----------------------------------------- + ------------------------------------------------------------------------------------------------------------- | | / ----- - 2*3 / ------- + -------------------- - ----------------------------------------- + ------------------------------------------------------------------------------------------------------------- | | I* / - ----- + 2*3 / ------- + -------------------- + ----------------------------------------- + ------------------------------------------------------------------------------------------------------------- | | I* / - ----- + 2*3 / ------- + -------------------- + ----------------------------------------- + ------------------------------------------------------------------------------------------------------------- | | _____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________ | | _____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________ | | _____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________ | | _____________________________________________________________________________________________ / 1250 \/ 625 28125 ________________________________ _____________________________________________________________________________________________ | | / ________________________________ / / ________________ / ________________________________ | | / ________________________________ / / ________________ / ________________________________ | | / ________________________________ / / ________________ / ________________________________ | | / ________________________________ / / ________________ / ________________________________ | | / / ________________ / / 4527004 2*\/ 33285351859710 / / ________________ | | / / ________________ / / 4527004 2*\/ 33285351859710 / / ________________ | | / / ________________ / / 4527004 2*\/ 33285351859710 / / ________________ | | / / ________________ / / 4527004 2*\/ 33285351859710 / / ________________ | | / 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468 | | / 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468 | | / 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468 | | / 93889 / 4527004 2*\/ 33285351859710 280468 / 375*3 / ------- + -------------------- / 93889 / 4527004 2*\/ 33285351859710 280468 | | / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- | | / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- | | / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- | | / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- / \/ 625 28125 62500* / ----- + 2*3 / ------- + -------------------- + ----------------------------------------- | | / 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________ | | / 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________ | | / 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________ | | / 2500 \/ 625 28125 ________________________________ / / 2500 \/ 625 28125 ________________________________ | | / / ________________ / / / ________________ | | / / ________________ / / / ________________ | | / / ________________ / / / ________________ | | / / ________________ / / / ________________ | | / / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710 | | / / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710 | | / / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710 | | / / 4527004 2*\/ 33285351859710 / / / 4527004 2*\/ 33285351859710 | | / 375*3 / ------- + -------------------- / / 375*3 / ------- + -------------------- | | / 375*3 / ------- + -------------------- / / 375*3 / ------- + -------------------- | | / 375*3 / ------- + -------------------- / / 375*3 / ------- + -------------------- | | / 375*3 / ------- + -------------------- / / 375*3 / ------- + -------------------- | |417 \/ \/ 625 28125 \/ \/ \/ 625 28125 | |417 \/ \/ 625 28125 \/ \/ \/ 625 28125 | |417 \/ \/ 625 28125 \/ \/ \/ 625 28125 | |417 \/ \/ 625 28125 \/ \/ \/ 625 28125 | |--- + ------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|--- + ------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|--- - ------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|--- - ------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \100 2 2 / \100 2 2 / \100 2 2 / \100 2 2 /
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}} - \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{93889}{1250}}}{2} + \frac{417}{100} + \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right) \left(\frac{\sqrt{- 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}} - \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{93889}{1250}}}{2} + \frac{417}{100} + \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right) \left(- \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2} + \frac{417}{100} - \frac{i \sqrt{- \frac{93889}{1250} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right) \left(- \frac{\sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2} + \frac{417}{100} + \frac{i \sqrt{- \frac{93889}{1250} + \frac{2271713}{62500 \sqrt{\frac{93889}{2500} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}} + \frac{280468}{375 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}} + 2 \sqrt[3]{\frac{2 \sqrt{33285351859710}}{28125} + \frac{4527004}{625}}}}{2}\right)$$
=
2/3 ________________________________ 2/3 ________________________________
3 ____ 2/3 3 ____ 3 ___ / ________________\ 2/3 3 / ________________ 5/6 ________________ / ________________\ 6 ____ _______________ 3 / ________________ 6 ___ 5/6 _______________
40519113879777068024426011*\/ 60 - 31637403806204536824426011*2 *\/ 15 + 122410333024128000000*\/ 2 *\101857590 + \/ 33285351859710 / + 12188925675571200000000*15 *\/ 101857590 + \/ 33285351859710 + 1201779200000*2 *\/ 16642675929855 *\101857590 + \/ 33285351859710 / + 1794995200000000*\/ 15 *\/ 2219023457314 *\/ 101857590 + \/ 33285351859710 + 347673907200000000*\/ 2 *15 *\/ 1109511728657
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2/3 ________________________________ 2/3 ________________________________ \
| 3 ____ 3 ___ / ________________\ 2/3 3 / ________________ 2/3 3 ____ 5/6 ________________ / ________________\ 6 ____ _______________ 3 / ________________ 6 ___ 5/6 _______________|
50000*\691664576040540000*\/ 60 + 9563307267510*\/ 2 *\101857590 + \/ 33285351859710 / + 952259818404000*15 *\/ 101857590 + \/ 33285351859710 + 2219023457314000*2 *\/ 15 + 93889*2 *\/ 16642675929855 *\101857590 + \/ 33285351859710 / + 140234000*\/ 15 *\/ 2219023457314 *\/ 101857590 + \/ 33285351859710 + 27162024000*\/ 2 *15 *\/ 1109511728657 /
$$\frac{- 31637403806204536824426011 \sqrt[3]{15} \cdot 2^{\frac{2}{3}} + 1201779200000 \sqrt{16642675929855} \cdot 2^{\frac{5}{6}} \left(\sqrt{33285351859710} + 101857590\right)^{\frac{2}{3}} + 1794995200000000 \sqrt[6]{15} \sqrt{2219023457314} \sqrt[3]{\sqrt{33285351859710} + 101857590} + 347673907200000000 \sqrt{1109511728657} \cdot 15^{\frac{5}{6}} \sqrt[6]{2} + 122410333024128000000 \sqrt[3]{2} \left(\sqrt{33285351859710} + 101857590\right)^{\frac{2}{3}} + 12188925675571200000000 \cdot 15^{\frac{2}{3}} \sqrt[3]{\sqrt{33285351859710} + 101857590} + 40519113879777068024426011 \sqrt[3]{60}}{50000 \left(2219023457314000 \sqrt[3]{15} \cdot 2^{\frac{2}{3}} + 93889 \sqrt{16642675929855} \cdot 2^{\frac{5}{6}} \left(\sqrt{33285351859710} + 101857590\right)^{\frac{2}{3}} + 140234000 \sqrt[6]{15} \sqrt{2219023457314} \sqrt[3]{\sqrt{33285351859710} + 101857590} + 27162024000 \sqrt{1109511728657} \cdot 15^{\frac{5}{6}} \sqrt[6]{2} + 691664576040540000 \sqrt[3]{60} + 9563307267510 \sqrt[3]{2} \left(\sqrt{33285351859710} + 101857590\right)^{\frac{2}{3}} + 952259818404000 \cdot 15^{\frac{2}{3}} \sqrt[3]{\sqrt{33285351859710} + 101857590}\right)}$$
(40519113879777068024426011*60^(1/3) - 31637403806204536824426011*2^(2/3)*15^(1/3) + 122410333024128000000*2^(1/3)*(101857590 + sqrt(33285351859710))^(2/3) + 12188925675571200000000*15^(2/3)*(101857590 + sqrt(33285351859710))^(1/3) + 1201779200000*2^(5/6)*sqrt(16642675929855)*(101857590 + sqrt(33285351859710))^(2/3) + 1794995200000000*15^(1/6)*sqrt(2219023457314)*(101857590 + sqrt(33285351859710))^(1/3) + 347673907200000000*2^(1/6)*15^(5/6)*sqrt(1109511728657))/(50000*(691664576040540000*60^(1/3) + 9563307267510*2^(1/3)*(101857590 + sqrt(33285351859710))^(2/3) + 952259818404000*15^(2/3)*(101857590 + sqrt(33285351859710))^(1/3) + 2219023457314000*2^(2/3)*15^(1/3) + 93889*2^(5/6)*sqrt(16642675929855)*(101857590 + sqrt(33285351859710))^(2/3) + 140234000*15^(1/6)*sqrt(2219023457314)*(101857590 + sqrt(33285351859710))^(1/3) + 27162024000*2^(1/6)*15^(5/6)*sqrt(1109511728657)))
Respuesta numérica
[src]
x1 = -1.19006815795779 - 1.1879705315229*i
x2 = 10.0629965470128
x3 = -1.19006815795779 + 1.1879705315229*i
x4 = 8.99713976890274
x4 = 8.99713976890274