If `alpha,beta` are the roots of the equation `ax^2+bx+c=0 and S_n=alpha^n+beta^n`, show that `a...

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If `alpha,beta` are the roots of the equation `ax^2+bx+c=0` and `S_n=alpha^n+beta^n` then eval If `alpha,beta` are the roots of the equation `ax^2+bx+c=0` and `S_n=alpha^n+beta^n` then eval
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If roots of the equation `ax^2 + bx + c = 0` are `alpha/(alpha-1)` and `(alpha+1)/alpha` and ... If roots of the equation `ax^2 + bx + c = 0` are `alpha/(alpha-1)` and `(alpha+1)/alpha` and ...