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Quadratic Equation And Inequalities

JEE Main 2023 (Online) 25th January Evening Shift

INTEGER+4 / -12023

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 ____________.

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