If 8x^2 - 2kx + k = 0 is a quadratic equation in x, such tha... — Quantitative Ability 2025

Question 500 Quantitative Ability 2025 Medium MCQ +4.00 marks · -1.00 negative

If \(8x^2 - 2kx + k = 0\) is a quadratic equation in \(x\), such that one of its roots is \(p\) times the other, and \(p, k\) are positive real numbers, then \(k\) equals

A. \(\left(\sqrt{p}+\frac{1}{\sqrt{p}}\right)^2\) B. \(2\left(p+\frac{1}{p}\right)\) C. \(\left(p+\frac{1}{p}\right)\) D. \(2\left(\sqrt{p}+\frac{1}{\sqrt{p}}\right)^2\)

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