Asked by: Dalius Mieth
asked in category: General Last Updated: 5th March, 2020

What happens if the discriminant is 0?

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.

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 ax2+ 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. 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.

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