Discriminant of Quadratic Equation Calculator

The expression that appears below the radical sign in the quadratic equation is referred to as discriminant. The expression b2 – 4ac, in the argument of the square root is called the discriminant.

If the discriminant is positive, ie., if b2 – 4ac > 0,
then the quadratic equation has two solutions.

If the discriminant is zero, ie., if b2 – 4ac = 0,
then the quadratic equation has one solution. If the discriminant is negative ie., if b2 – 4ac < 0,
then the quadratic equation has no solutions.

The discriminant value in the polynomial quadratic equation tells you about the number of real roots associated with it.

Use the above polynomial equation solver to find the discriminant value in the Quadratic Equation.

Discriminant of Polynomial Quadratic Equation

x2+
x+
=0

Result :