Problem type
The n-th roots of unity
- What it solves
- Solve z to the power n equals 1. Find all n solutions, see why they are the corners of a regular polygon, why each is a power of the first, and prove that they add up to zero.
- Subject
- Complex Numbers
- Topic
- Length and angle
- Also called
- roots of unity, nth roots of 1, cyclotomic
- Free example
- Read the complete worked example