To find the discriminant of a quadratic equation, we calculate D = b 2 − 4 a c . 1) Find the discriminant of each quadratic equation.OVERVIEW. In this unit students will: • focus on quadratic functions, equations, and applications. • explore variable rate of change. In this Slide Show, learn about the role of the discriminant in solving a quadratic equation. OVERVIEW. In this unit students will: • focuses on quadratic functions, equations, and applications. This algebra video tutorial explains how to determine the discriminant of a quadratic equation. This concept explores the discriminant and how to use the discriminant to describe the roots and graph of a quadratic function. MGSE9-12.A.SSE.2: Use the structure of an expression to rewrite it in different equivalent forms. In the Quadratic Formula, x=−b±√b2−4ac2a, the quantity b2−4ac is called the discriminant.