How to use quadratic formula to prove that if a quadratic equation has any non-real roots, then there must be 2 roots which are conjugates of each other?
I figure this might have something to do with difference of two squares?
$(a-bi)(a+bi)$ as it would mean the roots are conjugates of each other
Or maybe the discriminant formula $b^2-4ac > 0$? But I do not know how to formally write this proof.
Any help would be much appreciated!