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Mathematics · 2024

JEE Main · 29 January 2024, Shift 1 · Q21

Let α, β be the roots of the equation x^2-x+2=0 with Im (α)> Im (β). Then α^6+α^4+β^4-5 α^2 is equal to ____.

Let $\displaystyle \alpha, \beta$ be the roots of the equation $\displaystyle x^2-x+2=0$ with $\displaystyle \operatorname{Im}(\alpha)>\operatorname{Im}(\beta)$. Then $\displaystyle \alpha^6+\alpha^4+\beta^4-5 \alpha^2$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.