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The quadratic equation z^2 +(p+ip')z+q+i...

The quadratic equation `z^2 +(p+ip')z+q+iq' =0` where p,p',q,q' are all real. (A) if the equation has one real root then `q'^2-pp'q'+qp'^2=0` (B) if the equation has two equal roots then `pp'=2q'` (C) if the equation has two equal roots then `p^2-p'^2=4q` (D) if the equation has one real root then `p'^2-pp'q'+q'^2=0`

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