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Let z1a n dz2 b be toots of the equation...

Let `z_1a n dz_2` b be toots of the equation `z^2+p z+q=0,` where he coefficients `pa n dq` may be complex numbers. Let `Aa n dB` represent `z_1a n dz_2` in the complex plane, respectively. If `/_A O B=theta!=0a n dO A=O B ,w h e r eO` is the origin, prove that `p^2=4q"cos"^2(theta//2)dot`

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