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Mathematics · 2023

JEE Main · 25 January 2023, Shift 2 · Q81

Let a ∈ R and let α, β be the roots of the equation x^2+60^(1/4) x+a=0 If α^4+β^4=-30, then the product of all possible values of a is ____

Let $\displaystyle a \in \mathbb{R}$ and let $\displaystyle \alpha, \beta$ be the roots of the equation $\displaystyle x^2+60^{\frac{1}{4}} x+a=0$ If $\displaystyle \alpha^4+\beta^4=-30$, then the product of all possible values of $\displaystyle a$ is $\displaystyle \_\_\_\_$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.