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 illustration3:- If alpha and beta are the roots of the equation x^2-7x+17=0 and an = alpha power n + beta power n for n greater than equal to 1, then find the value of a10 + 17a8/a9? solution:-

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 illustration2:- If alpha is a root of 4x^2+2x-1=0, then prove that the other root of the equation is given by 4alpha^3-3alpha? solution:-

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 illustration1:- If (alpha) and (beta) are the roots of the quadratic equation ax^2+bx+c=0,then  evaluate alpha/beta + beta/alpha, alpha^2/beta + beta^2/alpha and alpha^3/beta + beta^3/alpha? solution:-

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