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[" (1) If "a" and "beta" are the 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],[" 12If the squared difference of the zeros of the quadratic polynomial "]

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