Question

if alpha and beta are the zeros of the quadratic polynomial f x is equal to X square + 4 x + 4 such that Alpha square plus beta square is equal to 24 find the value of k​

Answer 1

Answer:

$\alpha \: and \: \beta \: be \: the \: zeroes \: of \: f{x} \\ x {}^{2} + 4x + 4 \\ \alpha { }^{2} + \beta {}^{2} = 24 \\ = > \: \: x {}^{2} + 2x + 2x + 4 \\ x(x + 2) + 2(x + 2) \\ (x + 2)(x + 2) \\ x = - 2 \: and \: - 2 \\ \alpha = - 2 \: \beta = - 2$

well k is missing in the question so I can't help you more

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