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  • Let alpha ,and beta be the roots of the equation x^2+x+1=0 . The equation whose roots are (alpha)^19 , (beta)^7 is

Let alpha ,and beta be the roots of the equation x^2+x+1=0 . The equation whose roots are (alpha)^19 , (beta)^7 is

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Solution:  Let   alpha =omega  ,  eta =omega ^2

        Rightarrow        so that     alpha ^19=omega   and    eta ^7=omega ^2

         Equation of whose roots are  alpha ^19,eta ^7 is x^2+x+1=0

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Deependra Verma

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