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- La ecuación:
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Ecuación x+9=0
-
Ecuación 2x^2+7x-9=0
-
Ecuación 5*x^2+9*x=0
-
Ecuación 3x^2=2x+x^3
- Expresar {x} en función de y en la ecuación:
- -6*x+11*y=-5
- -15*x+7*y=1
- -14*x+4*y=-16
- 11*x-9*y=-4
-
Expresiones idénticas
- (dos 5x^ dos -36x+ ocho)^ dos =(x^ dos -14x+ dos)(25x^2-58x+ treinta y tres)
- (25x al cuadrado menos 36x más 8) al cuadrado es igual a (x al cuadrado menos 14x más 2)(25x al cuadrado menos 58x más 33)
- (dos 5x en el grado dos menos 36x más ocho) en el grado dos es igual a (x en el grado dos menos 14x más dos)(25x al cuadrado menos 58x más treinta y tres)
- (25x2-36x+8)2=(x2-14x+2)(25x2-58x+33)
- 25x2-36x+82=x2-14x+225x2-58x+33
- (25x²-36x+8)²=(x²-14x+2)(25x²-58x+33)
- (25x en el grado 2-36x+8) en el grado 2=(x en el grado 2-14x+2)(25x en el grado 2-58x+33)
- 25x^2-36x+8^2=x^2-14x+225x^2-58x+33
-
Expresiones semejantes
- (25x^2-36x+8)^2=(x^2-14x+2)(25x^2+58x+33)
- (25x^2-36x+8)^2=(x^2-14x-2)(25x^2-58x+33)
- (25x^2-36x-8)^2=(x^2-14x+2)(25x^2-58x+33)
- (25x^2+36x+8)^2=(x^2-14x+2)(25x^2-58x+33)
- (25x^2-36x+8)^2=(x^2+14x+2)(25x^2-58x+33)
- (25x^2-36x+8)^2=(x^2-14x+2)(25x^2-58x-33)
(25x^2-36x+8)^2=(x^2-14x+2)(25x^2-58x+33) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 / 2 \ / 2 \ / 2 \ \25*x - 36*x + 8/ = \x - 14*x + 2/*\25*x - 58*x + 33/
$$\left(\left(25 x^{2} - 36 x\right) + 8\right)^{2} = \left(\left(x^{2} - 14 x\right) + 2\right) \left(\left(25 x^{2} - 58 x\right) + 33\right)$$
Suma y producto de raíces
[src]
suma
__________________________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________________________________________________________
/ ______________________________ / ______________________________ / ______________________________ / ______________________________
/ / ____________ / / ____________ / / ____________ / / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 3361 / 1139 / 6250321 I*\/ 3829626026 23539 3361 / 1139 / 6250321 I*\/ 3829626026 23539 3361 / 1139 / 6250321 I*\/ 3829626026 23539 3361
/ ---- - 2*3 / --------- + ---------------- - ------------------------------------------ - ------------------------------------------------------------------------------------------------------------ / ---- - 2*3 / --------- + ---------------- - ------------------------------------------ + ------------------------------------------------------------------------------------------------------------ / ---- - 2*3 / --------- + ---------------- - ------------------------------------------ - ------------------------------------------------------------------------------------------------------------ / ---- - 2*3 / --------- + ---------------- - ------------------------------------------ + ------------------------------------------------------------------------------------------------------------
___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________
/ ______________________________ / / ____________ / ______________________________ / ______________________________ / / ____________ / ______________________________ / / ____________ / ______________________________ / ______________________________ / ______________________________ / / ____________ / ______________________________
/ / ____________ / / 6250321 I*\/ 3829626026 / / ____________ / / ____________ / / 6250321 I*\/ 3829626026 / / ____________ / / 6250321 I*\/ 3829626026 / / ____________ / / ____________ / / ____________ / / 6250321 I*\/ 3829626026 / / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 / 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 / 1139 / 6250321 I*\/ 3829626026 23539 / 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539
/ ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------
/ 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________ / 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________ / 2500 \/ 576000000 144000000 ______________________________ / 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________
/ / ____________ / / / ____________ / / ____________ / / / ____________ / / / ____________ / / ____________ / / ____________ / / / ____________
/ / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026 / / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026 / / 6250321 I*\/ 3829626026 / / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026
/ 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ---------------- / 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ---------------- / 240000*3 / --------- + ---------------- / 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ----------------
29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000 29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000 29 \/ \/ \/ 576000000 144000000 \/ \/ 576000000 144000000 29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000
-- - ----------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + ----------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------- + -- + ----------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
50 2 2 50 2 2 50 2 2 50 2 2
$$\left(\frac{29}{50} + \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} + \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2} + \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2}\right) + \left(\left(\frac{29}{50} + \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} - \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2} - \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2}\right) + \left(\left(\frac{29}{50} + \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2} - \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} + \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2}\right) + \left(\frac{29}{50} - \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2} - \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} - \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2}\right)\right)\right)$$
=
58 -- 25
$$\frac{58}{25}$$
producto
/ __________________________________________________________________________________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________________________________________________________________________________\ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________\ | / ______________________________ | | / ______________________________ | | / ______________________________ | | / ______________________________ | | / / ____________ | | / / ____________ | | / / ____________ | | / / ____________ | | / 1139 / 6250321 I*\/ 3829626026 23539 3361 | | / 1139 / 6250321 I*\/ 3829626026 23539 3361 | | / 1139 / 6250321 I*\/ 3829626026 23539 3361 | | / 1139 / 6250321 I*\/ 3829626026 23539 3361 | | / ---- - 2*3 / --------- + ---------------- - ------------------------------------------ - ------------------------------------------------------------------------------------------------------------ | | / ---- - 2*3 / --------- + ---------------- - ------------------------------------------ + ------------------------------------------------------------------------------------------------------------ | | / ---- - 2*3 / --------- + ---------------- - ------------------------------------------ - ------------------------------------------------------------------------------------------------------------ | | / ---- - 2*3 / --------- + ---------------- - ------------------------------------------ + ------------------------------------------------------------------------------------------------------------ | | ___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ | | ___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ | | / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________| | ___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ | | / ______________________________ / / ____________ / ______________________________ | | / ______________________________ / / ____________ / ______________________________ | | / / ____________ / ______________________________ / ______________________________ | | / ______________________________ / / ____________ / ______________________________ | | / / ____________ / / 6250321 I*\/ 3829626026 / / ____________ | | / / ____________ / / 6250321 I*\/ 3829626026 / / ____________ | | / / 6250321 I*\/ 3829626026 / / ____________ / / ____________ | | / / ____________ / / 6250321 I*\/ 3829626026 / / ____________ | | / 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 | | / 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 | | / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 / 1139 / 6250321 I*\/ 3829626026 23539 | | / 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 | | / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ | | / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ | | / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ | | / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ | | / 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________ | | / 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________ | | / / 2500 \/ 576000000 144000000 ______________________________ / 2500 \/ 576000000 144000000 ______________________________ | | / 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________ | | / / ____________ / / / ____________ | | / / ____________ / / / ____________ | | / / / ____________ / / ____________ | | / / ____________ / / / ____________ | | / / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026 | | / / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026 | | / / / 6250321 I*\/ 3829626026 / / 6250321 I*\/ 3829626026 | | / / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026 | | / 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ---------------- | | / 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ---------------- | | / / 240000*3 / --------- + ---------------- / 240000*3 / --------- + ---------------- | | / 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ---------------- | |29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000 | |29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000 | |29 \/ \/ \/ 576000000 144000000 \/ \/ 576000000 144000000 | |29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000 | |-- - ----------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + ----------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------|*|-- + ----------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \50 2 2 / \50 2 2 / \50 2 2 / \50 2 2 /
$$\left(\frac{29}{50} - \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2} - \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} - \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2}\right) \left(\frac{29}{50} + \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2} - \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} + \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2}\right) \left(\frac{29}{50} + \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} - \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2} - \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2}\right) \left(\frac{29}{50} + \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} + \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2} + \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2}\right)$$
=
-1/300
$$- \frac{1}{300}$$
-1/300
Respuesta rápida
[src]
__________________________________________________________________________________________________________________________________________________________________________________________________________
/ ______________________________
/ / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 3361
/ ---- - 2*3 / --------- + ---------------- - ------------------------------------------ - ------------------------------------------------------------------------------------------------------------
___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________
/ ______________________________ / / ____________ / ______________________________
/ / ____________ / / 6250321 I*\/ 3829626026 / / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539
/ ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------
/ 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________
/ / ____________ / / / ____________
/ / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026
/ 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ----------------
29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000
x1 = -- - ----------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
50 2 2
$$x_{1} = \frac{29}{50} - \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2} - \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} - \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2}$$
__________________________________________________________________________________________________________________________________________________________________________________________________________
/ ______________________________
/ / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 3361
/ ---- - 2*3 / --------- + ---------------- - ------------------------------------------ + ------------------------------------------------------------------------------------------------------------
___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________
/ ______________________________ / / ____________ / ______________________________
/ / ____________ / / 6250321 I*\/ 3829626026 / / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539
/ ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------
/ 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________
/ / ____________ / / / ____________
/ / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026
/ 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ----------------
29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000
x2 = -- + ----------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
50 2 2
$$x_{2} = \frac{29}{50} + \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2} - \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} + \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2}$$
__________________________________________________________________________________________________________________________________________________________________________________________________________
/ ______________________________
/ / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 3361
/ ---- - 2*3 / --------- + ---------------- - ------------------------------------------ - ------------------------------------------------------------------------------------------------------------
/ 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________
/ / ____________ / ______________________________ / ______________________________
/ / 6250321 I*\/ 3829626026 / / ____________ / / ____________
/ 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539 / 1139 / 6250321 I*\/ 3829626026 23539
/ \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / ---- + 2*3 / --------- + ---------------- + ------------------------------------------
/ / 2500 \/ 576000000 144000000 ______________________________ / 2500 \/ 576000000 144000000 ______________________________
/ / / ____________ / / ____________
/ / / 6250321 I*\/ 3829626026 / / 6250321 I*\/ 3829626026
/ / 240000*3 / --------- + ---------------- / 240000*3 / --------- + ----------------
29 \/ \/ \/ 576000000 144000000 \/ \/ 576000000 144000000
x3 = -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------
50 2 2
$$x_{3} = \frac{29}{50} + \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} - \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2} - \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2}$$
__________________________________________________________________________________________________________________________________________________________________________________________________________
/ ______________________________
/ / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 3361
/ ---- - 2*3 / --------- + ---------------- - ------------------------------------------ + ------------------------------------------------------------------------------------------------------------
___________________________________________________________________________________________ / 1250 \/ 576000000 144000000 ______________________________ ___________________________________________________________________________________________
/ ______________________________ / / ____________ / ______________________________
/ / ____________ / / 6250321 I*\/ 3829626026 / / ____________
/ 1139 / 6250321 I*\/ 3829626026 23539 / 240000*3 / --------- + ---------------- / 1139 / 6250321 I*\/ 3829626026 23539
/ ---- + 2*3 / --------- + ---------------- + ------------------------------------------ / \/ 576000000 144000000 187500* / ---- + 2*3 / --------- + ---------------- + ------------------------------------------
/ 2500 \/ 576000000 144000000 ______________________________ / / 2500 \/ 576000000 144000000 ______________________________
/ / ____________ / / / ____________
/ / 6250321 I*\/ 3829626026 / / / 6250321 I*\/ 3829626026
/ 240000*3 / --------- + ---------------- / / 240000*3 / --------- + ----------------
29 \/ \/ 576000000 144000000 \/ \/ \/ 576000000 144000000
x4 = -- + ----------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
50 2 2
$$x_{4} = \frac{29}{50} + \frac{\sqrt{\frac{1139}{1250} - 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}} + \frac{3361}{187500 \sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}} - \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}}{2} + \frac{\sqrt{\frac{1139}{2500} + \frac{23539}{240000 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}} + 2 \sqrt[3]{\frac{6250321}{576000000} + \frac{\sqrt{3829626026} i}{144000000}}}}{2}$$
x4 = 29/50 + sqrt(1139/1250 - 2*(6250321/576000000 + sqrt(3829626026)*i/144000000)^(1/3) + 3361/(187500*sqrt(1139/2500 + 23539/(240000*(6250321/576000000 + sqrt(3829626026)*i/144000000)^(1/3)) + 2*(6250321/576000000 + sqrt(3829626026)*i/144000000)^(1/3))) - 23539/(240000*(6250321/576000000 + sqrt(3829626026)*i/144000000)^(1/3)))/2 + sqrt(1139/2500 + 23539/(240000*(6250321/576000000 + sqrt(3829626026)*i/144000000)^(1/3)) + 2*(6250321/576000000 + sqrt(3829626026)*i/144000000)^(1/3))/2
Respuesta numérica
[src]
x1 = -0.049087147501267
x2 = 0.0509342180562508
x3 = 1.2602684980896
x4 = 1.05788443135542
x4 = 1.05788443135542