Let ‘p’ and ‘q’ be the roots of the quadratic equation x2−(α−2)x−α−1=0. What is the minimum possible value of p2+q2 ?
Let p, q be integers and let α, β be the roots of the equation x2–2x+3=0 where α≠β. For n=0, 1, 2,..., let an=pαn+qβn and a3=−10, then pq+qp= ___