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Let z(1)andz(2) be roots of the equation...

Let `z_(1)andz_(2)` be roots of the equation `z^(2)+pz+q=0,` where the coefficients p and q may be complex numbers . Let A and B represent`z_(1)andz_(2)` in the complex plane. If `angleAOB=alphane0andOA=OB,` where O is the origin, prove that `p^(2)=4cos^(2)(alpha//2).`

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