Chapter 11 - Quadratic Functions and Equations - 11.3 Studying Solutions of Quadratic Equations - 11.3 Exercise Set - Page 719: 80

When the discriminant is a perfect square, there are two different real number solutions, and both of the solutions are rational solutions.

In a quadratic equation $a{{x}^{2}}+bx+c=0$, the value $D={{b}^{2}}-4ac$ is known as the discriminant. When the discriminant is a perfect square, there are two different real number solutions, and both of the solutions are rational solutions.