Question

Use the discriminant to determine the number of real solutions of the quadratic equation.

Answer 1

Step 1 :

The quadratic equation is .

Compare the above equation with standard form of the quadratic equation .

.

The discriminant is .

Substitute in the discriminant.

                 

Since the discriminant is positive, the quadratic equation has two distinct real solutions.

Solution :

The quadratic equation has two distinct real solutions.