Let α=(-1+i√3)/2 and β=(-1-i√3 ... | Complex Numbers

JEE MAIN_2026

_220126_S1

Question

Let $\alpha=\frac{-1+i \sqrt{3}}{2}$ and $\beta=\frac{-1-i \sqrt{3}}{2}, i=\sqrt{-1}$. If$(7-7 \alpha+9 \beta)^{20}+(9+7 \alpha-7 \beta)^{20}+(-7+9 \alpha+7 \beta)^{20}+(14+7 \alpha+7 \beta)^{20}=m^{10}$

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JEE Main

Mathematics

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