# Homework Help: Roots of complex function

1. May 3, 2010

### sara_87

1. The problem statement, all variables and given/known data

What are the roots of

z^n = -1

2. Relevant equations

3. The attempt at a solution

are they

$$e^{\frac{2\pi k i}{n}-\frac{i \pi}{n}}$$

?

2. May 3, 2010

### lanedance

sounds reasonable

3. May 3, 2010

### jeppetrost

if by k you mean "all integer values k in [0,n[" then yes, that is correct, which in turn implies n nth roots.