Suppose p and q are real numbers which do not take simultaneously the values p = 0, q = 1. Suppose the equation (1-q+p2/2)x2 + p(1+q)x + q(q-1) + p2/2 = 0 has two equal roots. Prove that p2 = 4q.

Siddhant Singh , 6 Years ago

Grade 9