# How do you find the discriminant for #2x^2=5/2x+3/2# and determine the number and type of solutions?

##### 1 Answer

Feb 13, 2017

The Discriminant is 18.25 andthe equation has 2 distinct real roots

#### Explanation:

Using the quadratic formula

The discriminant is calculated by using

This allows discrimination between the different types of roots for a quadratic

Rearranging the quadratic given

Substituting in the values from the quadratic into the formula above

Simplifying

The discriminant is 18.25 and the quadratic has two distinct real roots because the value is greater than 0