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.
[Math] Find all complex numbers $z=a+bi$ such that $z^3=8$.
complex numbers
complex numbers
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.
Best Answer
One approach:
You have $z^3-8=0$.
Factor this to $(z-2)(z^2+2z+4)=0$ and then solve in the usual ways