If the value of real number a > 0 for which x^2-5 a x +1=0 and {\x}^2- {\ax}-5=0 have a common real roots is {3}/{\sqrt{2 \beta}} then \beta is equal to ________. [30-Jan-2023 Shift 2]

JEE Mains 30-Jan-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 87 of 90

Marks: +1, -0

If the value of real number a>0 for which x2−5ax +1=0 and x2−ax−5=0 have a common real roots is ‌

√2β

then β is equal to ________.

[30-Jan-2023 Shift 2]

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