Find all complex numbers z such that z^4 = -4.
Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.
I have an idea of how to solve this but I just want to see how others would solve it. Thanks!
z4=−4=4ei(2k+1)π, k∈Zz=√2ei(2k+1)π/4, k=0,1,2,3z=1+i, −1+i, −1−i, 1−i
Thanks.
