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Quadratic Equation and Inequalities question

2023 · 30 Jan · Shift 2 · Q39

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2023 · 30 Jan · Shift 2 · Q39

Quadratic Equation and Inequalities question

2023 · 30 Jan · Shift 2 · Q39

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1

If the value of real number

a\gt 0

for which

x^2-5 a x+1=0

and

x^2-a x-5=0

have a common real root is

\frac{3}{\sqrt{2 \beta}}

then

\beta

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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