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

Question 224495: can the solution of a quadratic equation with integer coefficients include one real and one imaginary number? why or why not?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
can the solution of a quadratic equation with integer coefficients include one real and one imaginary number? why or why not?
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No
If one root is Real (r) and another is imaginary (i)
the equation would look like:
f(x) = a(x-r)(x-i) according to the Factor Theorem
That product would result in having imaginary coefficients
in the equation.
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Cheers,
Stan H.
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