exp(x)-1/x^2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
$$x_{1} = 2 W\left(\frac{1}{2}\right)$$
x2 = 2*re(W(-1/2)) + 2*I*im(W(-1/2))
$$x_{2} = 2 \operatorname{re}{\left(W\left(- \frac{1}{2}\right)\right)} + 2 i \operatorname{im}{\left(W\left(- \frac{1}{2}\right)\right)}$$
x2 = 2*re(LambertW(-1/2)) + 2*i*im(LambertW(-1/2))
Suma y producto de raíces
[src]
2*W(1/2) + 2*re(W(-1/2)) + 2*I*im(W(-1/2))
$$2 W\left(\frac{1}{2}\right) + \left(2 \operatorname{re}{\left(W\left(- \frac{1}{2}\right)\right)} + 2 i \operatorname{im}{\left(W\left(- \frac{1}{2}\right)\right)}\right)$$
2*W(1/2) + 2*re(W(-1/2)) + 2*I*im(W(-1/2))
$$2 \operatorname{re}{\left(W\left(- \frac{1}{2}\right)\right)} + 2 W\left(\frac{1}{2}\right) + 2 i \operatorname{im}{\left(W\left(- \frac{1}{2}\right)\right)}$$
2*W(1/2)*(2*re(W(-1/2)) + 2*I*im(W(-1/2)))
$$\left(2 \operatorname{re}{\left(W\left(- \frac{1}{2}\right)\right)} + 2 i \operatorname{im}{\left(W\left(- \frac{1}{2}\right)\right)}\right) 2 W\left(\frac{1}{2}\right)$$
4*(I*im(W(-1/2)) + re(W(-1/2)))*W(1/2)
$$4 \left(\operatorname{re}{\left(W\left(- \frac{1}{2}\right)\right)} + i \operatorname{im}{\left(W\left(- \frac{1}{2}\right)\right)}\right) W\left(\frac{1}{2}\right)$$
4*(i*im(LambertW(-1/2)) + re(LambertW(-1/2)))*LambertW(1/2)
x1 = -1.58804726468938 + 1.54022350102076*i