A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

We will use the concept of solutions of a quadratic equation to answer this question.

Answer: If a quadratic equation has exactly one real number solution, then the value of its discriminant is always zero.

A quadratic equation in variable x is of the form ax² + bx + c = 0, where a ≠ 0.

Explanation:

The solution of a quadratic equation ax² + bx + c = 0 is given by the quadratic formula x =  [-b ± √(b² - 4ac)] / 2a, to find the solution of a quadratic equation.

In the case of one real solution, the value of discriminant b² - 4ac is zero.

For example, x² + 2x + 1 = 0 has only one solution x = -1.

Discriminant = b² - 4ac = 2² - 4 (1) (1) = 0

You can calculate the determinant of a quadratic equation using Cuemath's Determinant Calculator.

Thus, if a quadratic equation has exactly one real number solution, then the value of the discriminant is always zero.