Mathematics · 2024
JEE Main · 6 April 2024, Shift 2 · Q21
Let α, β be roots of x^2+√ 2 x-8=0. If U_n=α^n+β^n, then (U_10+√ 2 U_9)/(2 U_8) is equal to ____.
Let $\displaystyle \alpha, \beta$ be roots of $\displaystyle x^2+\sqrt{2} x-8=0$. If $\displaystyle U_n=\alpha^n+\beta^n$, then $\displaystyle \frac{U_{10}+\sqrt{2} U_9}{2 U_8}$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
4
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.