If the value of real number a > 0 for which x² - 5ax + 1 = 0 and… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 30 January, Shift 2Quadratic Equations in Complex Numbers

If the value of real number $a > 0$ for which $x^2 - 5ax + 1 = 0$ and $x^2 - ax - 5 = 0$ have a common real root is $\frac{3}{\sqrt{2\beta}}$ , then $\beta$ is equal to _____

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