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

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.

Grade:9

1 Answers

Dhwanit Hura
28 Points
3 years ago
For the quadratic equation to have equal roots, their discriminant must be zero.Put D=0, u will get the required result.

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