sign(x)=log(x)+1/(2*x^2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
/ -2\ / -2 \
W\-e / W\-e , -1/
1 + ------- 1 + -----------
2 2
e + e
$$e^{\frac{W_{-1}\left(- \frac{1}{e^{2}}\right)}{2} + 1} + e^{\frac{W\left(- \frac{1}{e^{2}}\right)}{2} + 1}$$
/ -2\ / -2 \
W\-e / W\-e , -1/
1 + ------- 1 + -----------
2 2
e + e
$$e^{\frac{W_{-1}\left(- \frac{1}{e^{2}}\right)}{2} + 1} + e^{\frac{W\left(- \frac{1}{e^{2}}\right)}{2} + 1}$$
/ -2\ / -2 \
W\-e / W\-e , -1/
1 + ------- 1 + -----------
2 2
e *e
$$\frac{e^{\frac{W\left(- \frac{1}{e^{2}}\right)}{2} + 1}}{e^{-1 - \frac{W_{-1}\left(- \frac{1}{e^{2}}\right)}{2}}}$$
/ -2\ / -2 \
W\-e / W\-e , -1/
2 + ------- + -----------
2 2
e
$$e^{\frac{W_{-1}\left(- \frac{1}{e^{2}}\right)}{2} + \frac{W\left(- \frac{1}{e^{2}}\right)}{2} + 2}$$
exp(2 + LambertW(-exp(-2))/2 + LambertW(-exp(-2), -1)/2)
/ -2\
W\-e /
1 + -------
2
x1 = e
$$x_{1} = e^{\frac{W\left(- \frac{1}{e^{2}}\right)}{2} + 1}$$
/ -2 \
W\-e , -1/
1 + -----------
2
x2 = e
$$x_{2} = e^{\frac{W_{-1}\left(- \frac{1}{e^{2}}\right)}{2} + 1}$$
x2 = exp(LambertW(-exp(-2, -1)/2 + 1))