- #1
hamad12a
- 4
- 0
Homework Statement
in a given activity: solve for z in C the equation: z^3=1
Homework Equations
prove that the roots are 1, i, and i^2
The Attempt at a Solution
using z^3-1=0 <=> Z^3-1^3 == a^3-b^3=(a-b)(a^2+2ab+b^2)
it's clear the solution are 1 and i^2=-1 but i didn't find "i" as a solution by using this method
i need your help please