3. Solve in C the equation:

$$
\left(1+\frac{i z}{n}\right)^{n}+\left(1-\frac{i z}{n}\right)^{n}=0 \text { where } \mathrm{n} \in N^{*}
$$
3. $\mathrm{Z}=-$ is not a solution. Then the equation is equivalent to

$$
\left(\frac{n+i z}{n-i z}\right)^{n}=
$$

$\cos \pi+i \sin \pi$, from which the solution $Z_{k}=n \tan \frac{(2 k+1) n}{2 n}, k \in$
$\{0,1,2, \ldots, n-1\}$
$3 p$