SOLUTION: Suppose ax^2+bx+c=0 is a quadratic equation which has real complex roots. Why should it have complex conjugate roots? [Hint: Think of how roots of a quadratic equation are derived

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Suppose ax^2+bx+c=0 is a quadratic equation which has real complex roots. Why should it have complex conjugate roots? [Hint: Think of how roots of a quadratic equation are derived       Log On


   



Question 631338: Suppose ax^2+bx+c=0 is a quadratic equation which has real complex roots. Why should it have complex conjugate roots? [Hint: Think of how roots of a quadratic equation are derived using the quadratic formula]
(please help me with this)

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Derive the quadratic formula by completing the square. Somewhere in there you'll see that if the roots are non-real, then they are complex conjugates.