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If alpha,beta are the roots of the equat...

If `alpha,beta` are the roots of the equation `ax^2+bx+c=0 and S_n=alpha^n+beta^n`, show that `aS_(n+1)+bS_n+cS(n+10=0` and hence find `S_5`

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
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  9. In copying a quadratic equation of the form x^2 +px +q=0,a student wro...

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