logx(1/20)=x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
re(W(-20)) I*im(W(-20))
- ---------- - ------------
20 20
$$- \frac{\operatorname{re}{\left(W\left(-20\right)\right)}}{20} - \frac{i \operatorname{im}{\left(W\left(-20\right)\right)}}{20}$$
re(W(-20)) I*im(W(-20))
- ---------- - ------------
20 20
$$- \frac{\operatorname{re}{\left(W\left(-20\right)\right)}}{20} - \frac{i \operatorname{im}{\left(W\left(-20\right)\right)}}{20}$$
re(W(-20)) I*im(W(-20))
- ---------- - ------------
20 20
$$- \frac{\operatorname{re}{\left(W\left(-20\right)\right)}}{20} - \frac{i \operatorname{im}{\left(W\left(-20\right)\right)}}{20}$$
re(W(-20)) I*im(W(-20))
- ---------- - ------------
20 20
$$- \frac{\operatorname{re}{\left(W\left(-20\right)\right)}}{20} - \frac{i \operatorname{im}{\left(W\left(-20\right)\right)}}{20}$$
-re(LambertW(-20))/20 - i*im(LambertW(-20))/20
re(W(-20)) I*im(W(-20))
x1 = - ---------- - ------------
20 20
$$x_{1} = - \frac{\operatorname{re}{\left(W\left(-20\right)\right)}}{20} - \frac{i \operatorname{im}{\left(W\left(-20\right)\right)}}{20}$$
x1 = -re(LambertW(-20))/20 - i*im(LambertW(-20))/20
x1 = -0.0954307936570249 + 0.113496917707422*i
x1 = -0.0954307936570249 + 0.113496917707422*i