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Let z1 \and\ z2 be the roots of the equa...

Let `z_1 \and\ z_2` be the roots of the equation `z^2+p z+q=0,` where the coefficients `p \and \q` may be complex numbers. Let `A \and\ B` represent `z_1 \and\ z_2` in the complex plane, respectively. If `/_A O B=theta!=0 \and \O A=O B ,\where\ O` is the origin, prove that `p^2=4q"cos"^2(theta//2)dot`

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