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Quadratic Equation and Inequalities question

2023 · 25 Jan · Shift 2 · Q46

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2023 · 25 Jan · Shift 2 · Q46

Quadratic Equation and Inequalities question

2023 · 25 Jan · Shift 2 · Q46

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1

Let

\alpha \in\mathbb{R}

and let

\alpha,\beta

be the roots of the equation

{x^2} + {60^{{1 \over 4}}}x + a = 0

. If

{\alpha ^4} + {\beta ^4} = - 30

, then the product of all possible values of

a

is

\underline{\hspace{2cm}}

.

Numerical answer

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