How do you find the discriminant for #2x^2=5/2x+3/2# and determine the number and type of solutions?
The Discriminant is 18.25 andthe equation has 2 distinct real roots
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
The discriminant is 18.25 and the quadratic has two distinct real roots because the value is greater than 0