SOLUTION: can the solution of a quadratic equation with integer coefficients include one real and one imaginary number? why and why not?

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Question 224723: can the solution of a quadratic equation with integer coefficients include one real and one imaginary number? why and why not?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
No, because complex roots always occur in pairs.
When the Discriminant is <0, there are 2 complex roots, other terms, + and minus the sqrt of the Discriminant.