Let \alpha and \beta be the two distinct roots of the equation 2 x^2-6 x+k=0, such that (\alpha+\beta) and \alpha \beta are the distinct roots of the equation x^2+p x+p=0. Then, the value of 8(k-p) is

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CAT 2023 Slot 1 QA · Question 6

Let $α$ and $β$ be the two distinct roots of the equation $2 x^{2} - 6 x + k = 0$ , such that $(α + β)$ and $α β$ are the distinct roots of the equation $x^{2} + p x + p = 0$ . Then, the value of $8 (k - p)$ is

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