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If alpha and beta are the zeros of polynomial x

^{2 }- 5x + k such that alpha-beta=1. find the value of k ......if tan

~~o~~+sin~~o~~= m,tan~~o~~-sin~~o~~=n,prove that m^{2}-n^{2}=4root mnIf alpha and beta are the zeroes 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.