Discriminant Calculator

The result of this function is the discriminant of a quadratic equation.

To calculate, enter the values for a, b and c, then click on the 'Calculate' button.

Formula for the discriminant

The discriminant is an expression that allows statements to be made about the number and type of solutions to an algebraic equation. Here the discriminant of a quadratic equation is calculated.

A quadratic equation \(\displaystyle ax^2+bx+c=0 \)is calculated using the following formula:

\(\displaystyle x_{1, 2} = \frac{-b ±\sqrt{b^2-4ac}}{2a} \)

The number of real solutions depends on the expression under the root, the discriminant.

\(\displaystyle D=b^2-4ac \)

• For D > 0 there are two different real solutions.
• For D = 0 there is a real solution.
• For D < 0 there are no real solutions, only two complex ones.