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# 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 ax^{2 }+ bx + c = 0, where a ≠ 0.

**Explanation:**

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

In the case of one real solution, the value of discriminant b^{2} - 4ac is zero.

For example, x^{2 }+ 2x + 1 = 0 has only one solution x = -1.

Discriminant = b^{2} - 4ac = 2^{2} - 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.

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