(a) Suppose z1, z2, z3, z4, and z5 are equally spaced around the unit circle. Show that z1 + z2 + z3 + z4 + z5 = 0
(b) Repeat (a) for any n ≥ 2 points equally spaced around the unit circle.
(c) If |w| = 1, show that the sum of the roots of zn = w is zero.