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