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

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

Algebra.Com

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) (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.

RELATED QUESTIONS
can the solution of a quadratic equation with integer coefficients include one real and... (answered by stanbon)

A polynomial function f((x) of degree 4 with real coefficients has zeros of 3 and 5-i.... (answered by Alan3354)

Is it possible for a quadratic function to have one real zero and one imaginary zero?... (answered by ichudov)

Please help me answer this question. If 4-i is a solution of a quadratic equation with a (answered by Nate)

Find the discriminant of this equation and tell if the quadratic equation has 2 real... (answered by robertb)

4 - i is a solution of a quadratic equation with real coefficients.Find the other... (answered by josgarithmetic,ikleyn,math_tutor2020)

I am having trouble understanding if some quadratic equations can have one real and one... (answered by nerdybill)

4-i is a solution of a quadratic equation with real coefficients. find other the... (answered by richwmiller)

8+9i is a solution of a quadratic equation with real coefficients. Find the other... (answered by tommyt3rd)