Cube Roots of Unity

Difficulty: Easy · Topics: Algebra, Complex Numbers, Roots of Unity

Birning kub ildizlari

Let omega be a root of x^2+x+1=0. Compute

≤ft(omega+(1)/(omega) )^2+≤ft(omega^2+frac1omega^2 )^2+·s+≤ft(omega^6+frac1omega^6 )^2.