I need to find the real and imaginary roots of z^4 = -1.
The Attempt at a Solution
The polar coordinates of -1 are at (-1, pi), (-1, 3pi) etc so if I assume the solutions take the form z = exp[i n theta] then
n theta = pi + 2npi
This dosen't seem to give the correct roots though, what am I doing wrong? I don't want the solution, just the method so I can work it through for myself if anyone can help.