lnx-x^2+5=0 la ecuación
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Solución
Suma y producto de raíces
[src]
/ -10\ / -10 \
W\-2*e / W\-2*e , -1/
-5 - ---------- -5 - --------------
2 2
e + e
$$e^{-5 - \frac{W\left(- \frac{2}{e^{10}}\right)}{2}} + e^{-5 - \frac{W_{-1}\left(- \frac{2}{e^{10}}\right)}{2}}$$
/ -10\ / -10 \
W\-2*e / W\-2*e , -1/
-5 - ---------- -5 - --------------
2 2
e + e
$$e^{-5 - \frac{W\left(- \frac{2}{e^{10}}\right)}{2}} + e^{-5 - \frac{W_{-1}\left(- \frac{2}{e^{10}}\right)}{2}}$$
/ -10\ / -10 \
W\-2*e / W\-2*e , -1/
-5 - ---------- -5 - --------------
2 2
e *e
$$\frac{e^{-5 - \frac{W_{-1}\left(- \frac{2}{e^{10}}\right)}{2}}}{e^{\frac{W\left(- \frac{2}{e^{10}}\right)}{2} + 5}}$$
/ -10\ / -10 \
W\-2*e / W\-2*e , -1/
-10 - ---------- - --------------
2 2
e
$$e^{-10 - \frac{W\left(- \frac{2}{e^{10}}\right)}{2} - \frac{W_{-1}\left(- \frac{2}{e^{10}}\right)}{2}}$$
exp(-10 - LambertW(-2*exp(-10))/2 - LambertW(-2*exp(-10), -1)/2)
/ -10\
W\-2*e /
-5 - ----------
2
x1 = e
$$x_{1} = e^{-5 - \frac{W\left(- \frac{2}{e^{10}}\right)}{2}}$$
/ -10 \
W\-2*e , -1/
-5 - --------------
2
x2 = e
$$x_{2} = e^{-5 - \frac{W_{-1}\left(- \frac{2}{e^{10}}\right)}{2}}$$
x2 = exp(-5 - LambertW(-2*exp(-10, -1)/2))