Question

The nth roots of unity are defined to be the solutions to Zⁿ-1=0 or

Answer 1

The nth roots of unity are solutions to the equation Zⁿ-1=0, and they can be found using De Moivre's theorem.

Step-by-step explanation:

The nth roots of unity are solutions to the equation Zⁿ-1=0. In other words, they are values of Z that satisfy the equation. To find the nth roots of unity, you can use De Moivre's theorem, which states that if Z is a complex number in polar form r(cosθ + isinθ), then the nth roots of Z are given by the formula r^(1/n)(cos(θ/n + 2πk/n) + isin(θ/n + 2πk/n)), where k is an integer ranging from 0 to n-1.