Show that (1+i) is a root of the equation z4=-4 and find the other roots in the form a+bi where (a) and (b) are real.
Using De Moivre's Theorem
Modulus(absolute value of z) = 4
Argument = ???
The Attempt at a Solution
r4=4 → r = (4)^(1/5)
argument(z) = ∏/4 (not sure if that was right....)
[r4],5θ] = [4,2n∏ + ∏/4]
and then solve for the solutions for (n=-1,-2,1,2...im assuming to make it symmetrical)