If the discriminant of a quadratic equation is zero, determine the number of real solutions.

Solution:

The quadratic equations are very important when it comes to finding the values for different parameters and quantities. These equations can have at most two solutions. The number of solutions the quadratic equation can have is determined by the discriminant. Let's see more about discriminant on this page.

Let's understand the solution in detail.

The discriminant of a quadratic equation ax² + bx + c is given by D = b² - 4ac.

If D = 0, then b² = 4ac.

Also, the roots of the quadratic equation are given by the formula (-b ± √D) / 2a.

Hence, if D is zero, then the only root is -b/2a.

Hence, if the discriminant of a quadratic equation is zero, the number of its real solutions is one.

If the discriminant of a quadratic equation is zero, determine the number of real solutions.

Summary:

If the discriminant of a quadratic equation is zero, the number of its real solutions is one.