Find all complex numbers $z=a+bi$ such that $z^3=8$. Find all complex numbers $z=a+bi$ such that $z^3=8$. I'll be happy if someone say me with what steps I have to start solving this problem.

$z^3-8=0$
$(z-2)(z^2+2z+4)=0$
$z=2$ or $z=-1\pm (-3)^{1/2}$
equation may be solved using quadratic equation
