Question

If -5 is a root of the quadratic equation 2x^2+px-15=0 and quadratic equation p(x^2+x)+k=0 has equal roots, find the value of k.

Answer 1

p = 7
px^2 + px + k =0 has equal roots than D = 0
p^2 - 4pk = 0
k = 7/4

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