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alpha and beta are the roots of the equation x^2-x+1=0 then the equation for the roots alpha^2018 and beta^2018 alpha and beta are the roots of the equation x^2-x+1=0 then the equation for the roots alpha^2018 and beta^2018
Dear student its root will be alpha = – wbeta = – w^2 now a^2018 = (– w)^2018 = w^2018 = w^2 bet^2018 = (– w^2)^2018 = w^4036 = w now sum = w + w^2 = – 1product = w * w^2 = w^3 = 1 hence equation will be x^2 + x + 1 =0 RegardsArun
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