If Alpha is a root of equation x^2+x+1=0 4 April 2025 shift 2 quadratic equations JEE mains

if Alpha is a root of equation X square + X + 1 = 0 and summation Alpha ^ K + 1 / K whole square is equal to 20 then n is equal to 4 April 2025 shiftu JEE mains quadratic equations exclusive