Question

If alfa and beta are zeroes of quadratic polynomial p (x) =kx^2+4x+4 such that alfa ^2 and beta^2 =24, find the value of k

Answer 1

kx²+4x+4=0
α² + β² =24
α²+β² = (α+β)-2αβ
24= (-4/k)-2(4/k)
24=-12/k⇒k= -1/2
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