Mathematics · 2020
JEE Main · 4 September 2020, Shift 2 · Q53
If a and b are real numbers such that (2+α)^4= a + b α, where α=(-1+i √ 3)/2, then a + b is equal to:
If $\displaystyle a$ and $\displaystyle b$ are real numbers such that $\displaystyle (2+\alpha)^4=\mathrm{a}+\mathrm{b} \alpha$, where $\displaystyle \alpha=\frac{-1+i \sqrt{3}}{2}$, then $\displaystyle \mathrm{a}+\mathrm{b}$ is equal to :
Official answer
(1)
$\displaystyle 9$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.