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If alpha and beta are zeros of the quad...

If `alpha and beta ` are zeros of the quadratic polynomial `f(x) = x^(2) - px + q`, prove that `(alpha^(2))/(beta^(2)) +(beta^(2))/(alpha^(2)) = (p^(4))/(q^(2)) - (4p^(2))/(q) + 2` .

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