x-Intercepts of a quadratic function

The x -intercepts of the function are the solutions of the quadratic equation . The solutions of a quadratic equation of the form are given by the quadratic formula.

Here, the expression is called the discriminant.

The discriminant can be used to confirm the number of x -intercepts and the type of solutions of the quadratic equation.

Value of Discriminant	Type and Number of x-intercepts (roots)	Example of Graph of Related Function
	2 real and rational
	2 real and irrational
	1 real
	No x-intercepts