JEE Main 202622 Jan, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let α=−1+i32\alpha=\frac{-1+i\sqrt3}{2}α=2−1+i3 and β=−1−i32\beta=\frac{-1-i\sqrt3}{2}β=2−1−i3, i=−1i=\sqrt{-1}i=−1. If (7−7α+9β)20+(9+7α−7β)20+(−7+9α+7β)20+(14+7α+7β)20=m10(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}(7−7α+9β)20+(9+7α−7β)20+(−7+9α+7β)20+(14+7α+7β)20=m10, then mmm isYour answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
