IPMAT Indore 2025 (MCQ) - 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 | PYQs + Solutions

IPMAT Indore 2025

Algebra

Polynomials

Medium

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

(p + \frac{1}{p})

2(p + \frac{1}{p})

2(\sqrt{p} + \frac{1}{\sqrt{p}})^2

(\sqrt{p} + \frac{1}{\sqrt{p}})^2

✅ Correct Option: 3

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