What happens if the discriminant is 0?

[purplewolf566]

The 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.

[brownbear318]

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.

Secondly, 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 ax2 bx c = 0 are real and equal.

Keeping this in consideration, 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. x2 - 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 3x2 2x 1.