What is the difference between determining the real roots of a quadratic equation and solving it?

Quadratic equations are of the for Ax^2+bx+c = 0. Given that we have x^2 in the equation, we can have imaginary numbers in the system. If you solve for solutions with real roots, then you are asking to give solutions that aren’t imaginary numbers (i.e., a negative value under the square root). Great question. Thanks!