Let p,q be integers and let α,β be the roots of the equation, x2−x−1=0, where α≠β. For n=0,1,2,...., let an=pαn+qβn. FACT: If a and b are rational numbers and a+b√5=0. then a=0=b. a12=
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= ___