##### Asked by: Dalius Mieth

asked in category: General Last Updated: 5th March, 2020# What happens if the discriminant is 0?

**discriminant**can be positive,

**zero**, or negative, and this determines how many solutions there are to the given quadratic equation. A

**discriminant**of

**zero**indicates that the quadratic has a repeated real number solution. A negative

**discriminant**indicates that neither of the solutions are real numbers.

Subsequently, one may also ask, what happens if the discriminant is less than zero?

**If the discriminant** of a quadratic function is **less than zero**, that function has no real roots, and the parabola it represents does not intersect the x-axis.

Furthermore, when discriminant is zero then roots are? When a, b, and c are real numbers, a ≠ 0 and **the discriminant is zero**, **then the roots** α and β of **the** quadratic equation ax^{2}+ bx + c = 0 are real and equal.

Beside above, how many solutions are there if the discriminant is zero?

one solution

How do you prove a quadratic has no real roots?

If the discriminant is greater than zero, this means that the **quadratic** equation **has** two **real**, distinct (different) **roots**. x^{2} - 5x + 2. If the discriminant is greater than zero, this means that the **quadratic** equation **has no real roots**. Therefore, there are **no real roots** to the **quadratic** equation 3x^{2} + 2x + 1.