Roots of Unity and a Quadratic
Source:
March 2, 2008
quadraticsHMMTtrigonometryalgebrapolynomialFTWVieta
Problem Statement
A root of unity is a complex number that is a solution to z^n \equal{} 1 for some positive integer . Determine the number of roots of unity that are also roots of z^2 \plus{} az \plus{} b \equal{} 0 for some integers and .