Concept:Find the roots of the given quadratic equation and then add them.Explanation:Start with 8+2x−x2=0.Multiply through by −1 to get x2−2x−8=0.Factorise: (x−4)(x+2)=0.So, x−4=0 or x+2=0.This gives x=4 or x=−2.Since the truth set is {p,q}, we take p=4 and q=−2.Therefore, p+q=4+(−2)=2.Answer:p+q=2