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- La ecuación:
-
Ecuación x^2+4*x-32=0
-
Ecuación 9*x^2=0
-
Ecuación 4*x=24+x
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Ecuación 16-7(5-x)=9
- Expresar {x} en función de y en la ecuación:
- 15*x-5*y=-5
- 16*x-15*y=4
- -5*x+6*y=-8
- 8*x-16*y=14
- Derivada de:
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e^4
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Expresiones idénticas
- (e*x)^ln(x)^ dos + cuatro =e^ cuatro
- (e multiplicar por x) en el grado ln(x) al cuadrado más 4 es igual a e en el grado 4
- (e multiplicar por x) en el grado ln(x) en el grado dos más cuatro es igual a e en el grado cuatro
- (e*x)ln(x)2+4=e4
- e*xlnx2+4=e4
- (e*x)^ln(x)²+4=e⁴
- (e*x) en el grado ln(x) en el grado 2+4=e en el grado 4
- (ex)^ln(x)^2+4=e^4
- (ex)ln(x)2+4=e4
- exlnx2+4=e4
- ex^lnx^2+4=e^4
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Expresiones semejantes
- (e*x)^ln(x)^2-4=e^4
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Expresiones con funciones
- ln
- ln*(x+1)*ctg*sqrt(x)=0
- ln(x)=-0,28188
- ln(x)=(1-2*x)/2
- Ln(x-2)=0
- ln(1+lny)=-lnx
(e*x)^ln(x)^2+4=e^4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2
log (x) 4
(E*x) + 4 = E
$$\left(e x\right)^{\log{\left(x \right)}^{2}} + 4 = e^{4}$$
Respuesta rápida
[src]
____________________________________________________________________ ____________________________________________________________________
/ ________________________________________ / ________________________________________
3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\
1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e /
- - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - - -------------------------------------------------------------------------- - -----------------------------------------------------------------------------
/ ____________________________________________________________________ \ 3 ____________________________________________________________________ 12 3 ____________________________________________________________________ 12 / ____________________________________________________________________ \
| / ________________________________________ | / ________________________________________ / ________________________________________ | / ________________________________________ |
| 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / / 4\ 2/ 4\ / 4\ 3 / / / 4\ 2/ 4\ / 4\ | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ |
| 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 |
x1 = cos|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|*e - I*e *sin|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|
| 12 ____________________________________________________________________| | 12 ____________________________________________________________________|
| / ________________________________________ | | / ________________________________________ |
| 3 / / / 4\ 2/ 4\ / 4\ | | 3 / / / 4\ 2/ 4\ / 4\ |
\ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / / \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / /
$$x_{1} = \frac{\cos{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}} - \frac{i \sin{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}}$$
____________________________________________________________________ ____________________________________________________________________
/ ________________________________________ / ________________________________________
3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\
1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e /
- - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - - -------------------------------------------------------------------------- - -----------------------------------------------------------------------------
/ ____________________________________________________________________ \ 3 ____________________________________________________________________ 12 3 ____________________________________________________________________ 12 / ____________________________________________________________________ \
| / ________________________________________ | / ________________________________________ / ________________________________________ | / ________________________________________ |
| 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / / 4\ 2/ 4\ / 4\ 3 / / / 4\ 2/ 4\ / 4\ | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ |
| 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 |
x2 = cos|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|*e + I*e *sin|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|
| 12 ____________________________________________________________________| | 12 ____________________________________________________________________|
| / ________________________________________ | | / ________________________________________ |
| 3 / / / 4\ 2/ 4\ / 4\ | | 3 / / / 4\ 2/ 4\ / 4\ |
\ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / / \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / /
$$x_{2} = \frac{\cos{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}} + \frac{i \sin{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}}$$
____________________________________________________________________________
/ ______________________ ______________
3 ___ 2/3 3 / / 4\ ___ / / 4\ / / 4\
1 \/ 2 2 *\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e /
- - + ---------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------
3 ____________________________________________________________________________ 6
/ ______________________ ______________
3 / / 4\ ___ / / 4\ / / 4\
3*\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e /
x3 = e
$$x_{3} = e^{- \frac{1}{3} + \frac{\sqrt[3]{2}}{3 \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}}{6}}$$
x3 = exp(-1/3 + 2^(1/3)/(3*(-2 + 3*sqrt(3)*sqrt(-4 + 27*log(-4 + exp(4)))*sqrt(log(-4 + exp(4))) + 27*log(-4 + exp(4)))^(1/3)) + 2^(2/3)*(-2 + 3*sqrt(3)*sqrt(-4 + 27*log(-4 + exp(4)))*sqrt(log(-4 + exp(4))) + 27*log(-4 + exp(4)))^(1/3)/6)
Suma y producto de raíces
[src]
suma
____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ____________________________________________________________________________
/ ________________________________________ / ________________________________________ / ________________________________________ / ________________________________________ / ______________________ ______________
3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / 4\ ___ / / 4\ / / 4\
1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e /
- - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - + ---------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------
/ ____________________________________________________________________ \ 3 ____________________________________________________________________ 12 3 ____________________________________________________________________ 12 / ____________________________________________________________________ \ / ____________________________________________________________________ \ 3 ____________________________________________________________________ 12 3 ____________________________________________________________________ 12 / ____________________________________________________________________ \ 3 ____________________________________________________________________________ 6
| / ________________________________________ | / ________________________________________ / ________________________________________ | / ________________________________________ | | / ________________________________________ | / ________________________________________ / ________________________________________ | / ________________________________________ | / ______________________ ______________
| 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / / 4\ 2/ 4\ / 4\ 3 / / / 4\ 2/ 4\ / 4\ | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / / 4\ 2/ 4\ / 4\ 3 / / / 4\ 2/ 4\ / 4\ | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / 4\ ___ / / 4\ / / 4\
| 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 3*\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e /
cos|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|*e - I*e *sin|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------| + cos|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|*e + I*e *sin|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------| + e
| 12 ____________________________________________________________________| | 12 ____________________________________________________________________| | 12 ____________________________________________________________________| | 12 ____________________________________________________________________|
| / ________________________________________ | | / ________________________________________ | | / ________________________________________ | | / ________________________________________ |
| 3 / / / 4\ 2/ 4\ / 4\ | | 3 / / / 4\ 2/ 4\ / 4\ | | 3 / / / 4\ 2/ 4\ / 4\ | | 3 / / / 4\ 2/ 4\ / 4\ |
\ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / / \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / / \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / / \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / /
$$e^{- \frac{1}{3} + \frac{\sqrt[3]{2}}{3 \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}}{6}} + \left(\left(\frac{\cos{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}} + \frac{i \sin{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}}\right) + \left(\frac{\cos{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}} - \frac{i \sin{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}}\right)\right)$$
=
____________________________________________________________________ ____________________________________________________________________________
/ ________________________________________ / ______________________ ______________
3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / 4\ ___ / / 4\ / / 4\
1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e /
- - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - + ---------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------
/ ____________________________________________________________________ \ 3 ____________________________________________________________________ 12 3 ____________________________________________________________________________ 6
| / ________________________________________ | / ________________________________________ / ______________________ ______________
| 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / / 4\ 2/ 4\ / 4\ 3 / / 4\ ___ / / 4\ / / 4\
| 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 3*\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e /
2*cos|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|*e + e
| 12 ____________________________________________________________________|
| / ________________________________________ |
| 3 / / / 4\ 2/ 4\ / 4\ |
\ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / /
$$\frac{2 \cos{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}} + e^{- \frac{1}{3} + \frac{\sqrt[3]{2}}{3 \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}}{6}}$$
producto
/ ____________________________________________________________________ ____________________________________________________________________ \ / ____________________________________________________________________ ____________________________________________________________________ \ ____________________________________________________________________________ | / ________________________________________ / ________________________________________ | | / ________________________________________ / ________________________________________ | / ______________________ ______________ | 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ | | 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ 3 ___ 2/3 3 / / / 4\ 2/ 4\ / 4\ | 3 ___ 2/3 3 / / 4\ ___ / / 4\ / / 4\ | 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | | 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 1 \/ 2 2 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | 1 \/ 2 2 *\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e / | - - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- | | - - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- - - - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------- | - - + ---------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------- | / ____________________________________________________________________ \ 3 ____________________________________________________________________ 12 3 ____________________________________________________________________ 12 / ____________________________________________________________________ \| | / ____________________________________________________________________ \ 3 ____________________________________________________________________ 12 3 ____________________________________________________________________ 12 / ____________________________________________________________________ \| 3 ____________________________________________________________________________ 6 | | / ________________________________________ | / ________________________________________ / ________________________________________ | / ________________________________________ || | | / ________________________________________ | / ________________________________________ / ________________________________________ | / ________________________________________ || / ______________________ ______________ | | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / / 4\ 2/ 4\ / 4\ 3 / / / 4\ 2/ 4\ / 4\ | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ || | | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ | 3 / / / 4\ 2/ 4\ / 4\ 3 / / / 4\ 2/ 4\ / 4\ | 2/3 ___ 3 / / / 4\ 2/ 4\ / 4\ 3 ___ ___ || 3 / / 4\ ___ / / 4\ / / 4\ | | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 || | | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 | 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / | 2 *\/ 3 *\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / \/ 2 *\/ 3 || 3*\/ -2 + 27*log\-4 + e / + 3*\/ 3 *\/ -4 + 27*log\-4 + e / *\/ log\-4 + e / |cos|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|*e - I*e *sin|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------||*|cos|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------|*e + I*e *sin|- ----------------------------------------------------------------------------------- + --------------------------------------------------------------------------||*e | | 12 ____________________________________________________________________| | 12 ____________________________________________________________________|| | | 12 ____________________________________________________________________| | 12 ____________________________________________________________________|| | | / ________________________________________ | | / ________________________________________ || | | / ________________________________________ | | / ________________________________________ || | | 3 / / / 4\ 2/ 4\ / 4\ | | 3 / / / 4\ 2/ 4\ / 4\ || | | 3 / / / 4\ 2/ 4\ / 4\ | | 3 / / / 4\ 2/ 4\ / 4\ || \ \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / / \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / // \ \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / / \ 6*\/ -2 + \/ - 108*log\-4 + e / + 729*log \-4 + e / + 27*log\-4 + e / //
$$\left(\frac{\cos{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}} - \frac{i \sin{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}}\right) \left(\frac{\cos{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}} + \frac{i \sin{\left(- \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12} + \frac{\sqrt[3]{2} \sqrt{3}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} \right)}}{e^{\frac{\sqrt[3]{2}}{6 \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{1}{3} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + \sqrt{- 108 \log{\left(-4 + e^{4} \right)} + 729 \log{\left(-4 + e^{4} \right)}^{2}} + 27 \log{\left(-4 + e^{4} \right)}}}{12}}}\right) e^{- \frac{1}{3} + \frac{\sqrt[3]{2}}{3 \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{-2 + 3 \sqrt{3} \sqrt{-4 + 27 \log{\left(-4 + e^{4} \right)}} \sqrt{\log{\left(-4 + e^{4} \right)}} + 27 \log{\left(-4 + e^{4} \right)}}}{6}}$$
=
-1 e
$$e^{-1}$$
exp(-1)
Respuesta numérica
[src]
x1 = 0.0857540473221695 + 0.304015096141788*i
x2 = 0.0857540473221695 - 0.304015096141788*i
x3 = 3.68694494497141
x3 = 3.68694494497141