Example 2

Use the discriminant of [math]3x^2 – 5x + 1 = 0[/math] to identify the number and type of solutions.

[list=1] [*]Determine [math]a[/math], [math]b[/math], and [math]c[/math]. [*]Substitute the values for [math]a[/math], [math]b[/math], and [math]c[/math] into the formula for the discriminant, [math]b^2 – 4ac[/math]. [*]Use what you know about the discriminant to determine the number and type of solutions for the quadratic equation. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.