$4z^2+8|z|^2-3=0$
I have to find $z$.
$|z|^2 = z\cdot \bar{z}$, but I don't know if this helps in this situation.
$4z^2+8|z|^2-3=0$
I have to find $z$.
$|z|^2 = z\cdot \bar{z}$, but I don't know if this helps in this situation.
You can prove first that $z^2$ is real, and then use the fact that $|z|^2=|z^2|$.
Can you find $z^2$ then?