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If \(a=cos\left(\frac{2\pi}{7} \right )+i~sin\left(\frac{2\pi}{7} \right )\) then the quadratic equation whose roots are \(\alpha=a+a^2+a^4~and~\beta=a^3+a^5+a^6\) is

Answer» If \(a=cos\left(\frac{2\pi}{7} \right )+i~sin\left(\frac{2\pi}{7} \right )\) then the quadratic equation whose roots are \(\alpha=a+a^2+a^4~and~\beta=a^3+a^5+a^6\) is


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