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- La ecuación:
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Ecuación x^4+4=0
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Ecuación (x-1)/(5-x)=2/9
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Ecuación 4*(x-3)=x+6
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Ecuación 9-2*(-4*x+7)=7
- Expresar {x} en función de y en la ecuación:
- 17*x-20*y=6
- -11*x+15*y=7
- 5*x+4*y=-12
- 5*x-13*y=17
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Expresiones idénticas
- lg(tres *x^ dos - dos *x)= uno -lg(x* dos)
- lg(3 multiplicar por x al cuadrado menos 2 multiplicar por x) es igual a 1 menos lg(x multiplicar por 2)
- lg(tres multiplicar por x en el grado dos menos dos multiplicar por x) es igual a uno menos lg(x multiplicar por dos)
- lg(3*x2-2*x)=1-lg(x*2)
- lg3*x2-2*x=1-lgx*2
- lg(3*x²-2*x)=1-lg(x*2)
- lg(3*x en el grado 2-2*x)=1-lg(x*2)
- lg(3x^2-2x)=1-lg(x2)
- lg(3x2-2x)=1-lg(x2)
- lg3x2-2x=1-lgx2
- lg3x^2-2x=1-lgx2
-
Expresiones semejantes
- lg(3*x^2-2*x)=1+lg(x*2)
- lg(3*x^2+2*x)=1-lg(x*2)
-
Expresiones con funciones
- lg
- lgx=40,12
- LGx=-6,52
- lgx=10.915
- lgx=2.2
- lgx=x-1
- lg
- lgx=40,12
- LGx=-6,52
- lgx=10.915
- lgx=2.2
- lgx=x-1
lg(3*x^2-2*x)=1-lg(x*2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ log\3*x - 2*x/ = 1 - log(x*2)
$$\log{\left(3 x^{2} - 2 x \right)} = 1 - \log{\left(2 x \right)}$$
Respuesta rápida
[src]
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\
| / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ |
| ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 |
| \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /
x1 = I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------
| 18 72 _________________________________________ | 144 _________________________________________
| / _______________________ | / _______________________
| 3 / / 2 | 3 / / 2
\ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
$$x_{1} = - \frac{\sqrt{3} \left(- 8 \sqrt{3} + 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144} + \frac{- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} + i \left(- \frac{\sqrt{3}}{18} + \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}\right)$$
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\
| / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ |
| ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 |
|\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /
x2 = I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------
| 18 72 _________________________________________ | 144 _________________________________________
| / _______________________ | / _______________________
| 3 / / 2 | 3 / / 2
\ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
$$x_{2} = \frac{\sqrt{3} \left(- 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}} + 8 \sqrt{3}\right)}{144} + \frac{- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} + i \left(- \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} - \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3}}{18}\right)$$
__________________________________________
3 ___ 3 / ___ ____________ 1/2 2/3
2 \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e 4*2
x3 = - + --------------------------------------------------- + -----------------------------------------------
9 18 __________________________________________
3 / ___ ____________ 1/2
9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e
$$x_{3} = \frac{4 \cdot 2^{\frac{2}{3}}}{9 \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}} + \frac{2}{9} + \frac{\sqrt[3]{2} \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}}{18}$$
x3 = 4*2^(2/3)/(9*(32 + 243*E + 9*sqrt(3)*sqrt(64 + 243*E)*exp(1/2))^(1/3)) + 2/9 + 2^(1/3)*(32 + 243*E + 9*sqrt(3)*sqrt(64 + 243*E)*exp(1/2))^(1/3)/18
Suma y producto de raíces
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suma
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ | | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ | __________________________________________ | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 | 3 ___ 3 / ___ ____________ 1/2 2/3 | \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / |\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 2 \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e 4*2 I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- + I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- + - + --------------------------------------------------- + ----------------------------------------------- | 18 72 _________________________________________ | 144 _________________________________________ | 18 72 _________________________________________ | 144 _________________________________________ 9 18 __________________________________________ | / _______________________ | / _______________________ | / _______________________ | / _______________________ 3 / ___ ____________ 1/2 | 3 / / 2 | 3 / / 2 | 3 / / 2 | 3 / / 2 9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
$$\left(\frac{4 \cdot 2^{\frac{2}{3}}}{9 \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}} + \frac{2}{9} + \frac{\sqrt[3]{2} \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}}{18}\right) + \left(\left(\frac{\sqrt{3} \left(- 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}} + 8 \sqrt{3}\right)}{144} + \frac{- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} + i \left(- \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} - \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3}}{18}\right)\right) + \left(- \frac{\sqrt{3} \left(- 8 \sqrt{3} + 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144} + \frac{- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} + i \left(- \frac{\sqrt{3}}{18} + \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}\right)\right)\right)$$
=
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ / _________________________________________\
| / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | __________________________________________ / _______________________ | / _______________________ | | / _______________________ |
| ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 3 ___ 3 / ___ ____________ 1/2 2/3 3 / / 2 | 3 ___ 3 / / 2 | ___ | ___ 3 ___ ___ 3 / / 2 | 2/3
2 | \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| |\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 4*2
- + I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| + I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------- + -----------------------------------------------
9 | 18 72 _________________________________________ | | 18 72 _________________________________________ | 144 18 _________________________________________ 144 __________________________________________
| / _______________________ | | / _______________________ | / _______________________ 3 / ___ ____________ 1/2
| 3 / / 2 | | 3 / / 2 | 3 / / 2 9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e
\ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 72*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
$$- \frac{\sqrt{3} \left(- 8 \sqrt{3} + 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144} + \frac{\sqrt{3} \left(- 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}} + 8 \sqrt{3}\right)}{144} + \frac{4 \cdot 2^{\frac{2}{3}}}{9 \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}} + \frac{2}{9} + \frac{- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} + \frac{\sqrt[3]{2} \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}}{18} + i \left(- \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} - \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3}}{18}\right) + i \left(- \frac{\sqrt{3}}{18} + \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}\right)$$
producto
/ / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\\ / / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\\ | | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ || | | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ || / __________________________________________ \ | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 || | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 || | 3 ___ 3 / ___ ____________ 1/2 2/3 | | | \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /| | |\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /| |2 \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e 4*2 | |I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------|*|I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------|*|- + --------------------------------------------------- + -----------------------------------------------| | | 18 72 _________________________________________ | 144 _________________________________________ | | | 18 72 _________________________________________ | 144 _________________________________________ | |9 18 __________________________________________| | | / _______________________ | / _______________________ | | | / _______________________ | / _______________________ | | 3 / ___ ____________ 1/2 | | | 3 / / 2 | 3 / / 2 | | | 3 / / 2 | 3 / / 2 | \ 9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e / \ \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \ \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /
$$\left(- \frac{\sqrt{3} \left(- 8 \sqrt{3} + 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144} + \frac{- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} + i \left(- \frac{\sqrt{3}}{18} + \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}\right)\right) \left(\frac{\sqrt{3} \left(- 2 \sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}} + 8 \sqrt{3}\right)}{144} + \frac{- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} + i \left(- \frac{\sqrt{3} \left(- 32 \cdot 2^{\frac{2}{3}} + \left(8 + 2 \sqrt[3]{2} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right) \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}\right)}{144 \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}} - \frac{\sqrt[3]{2} \sqrt{3} \sqrt[3]{32 + 243 e + \sqrt{-1024 + \left(32 + 243 e\right)^{2}}}}{72} + \frac{\sqrt{3}}{18}\right)\right) \left(\frac{4 \cdot 2^{\frac{2}{3}}}{9 \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}} + \frac{2}{9} + \frac{\sqrt[3]{2} \sqrt[3]{32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}}}{18}\right)$$
=
2 ___ ____________ 3/2 32*E + 243*e + 9*\/ 3 *\/ 64 + 243*E *e -------------------------------------------- / ___ ____________ 1/2\ 6*\32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e /
$$\frac{32 e + 243 e^{2} + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{3}{2}}}{6 \left(32 + 243 e + 9 \sqrt{3} \sqrt{64 + 243 e} e^{\frac{1}{2}}\right)}$$
(32*E + 243*exp(2) + 9*sqrt(3)*sqrt(64 + 243*E)*exp(3/2))/(6*(32 + 243*E + 9*sqrt(3)*sqrt(64 + 243*E)*exp(1/2)))
Respuesta numérica
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x1 = -0.199480976137646 + 0.620767762027539*i
x2 = -0.199480976137646 - 0.620767762027539*i
x3 = 1.06562861894196
x3 = 1.06562861894196