# calculation of the discriminant online

Calculator that allows the calculation of the discriminant of a quadratic equation online.

To calculate the discriminant of the quadratic equation x^2+x+1, just enter: discriminant(x^2+x+1;x) which returns -3.

### Discriminant, online calculus

#### Summary :

Calculator that allows the calculation of the discriminant of a quadratic equation online.

# discriminant of a quadratic equation

The discriminant of the quadratic equation following ax^2+bx+c=0 is equal to b^2-4ac. The notation used for the discriminant is Delta (delta), so we have Delta=b^2-4ac.

The calculator has a feature which allows the calculation of the discriminant online of quadratic equations. To calculate the discriminant of the equation : 3x^2+4x+3=0, enter discriminant(3*x^2+4*x+3=0;x), the calculator returns the result -20.

Calculate the discriminant of a polynomial allows to determine the number of root of quadratic equation :

• When the calculation of the discriminant gives a negative number, the equation has no root
• when the discriminant is zero, the equation has a root, double root
• when the calculation of the discriminant is a positive number, the equation has two distinct roots.

To find les the roots of an equation, it is possible to use the equation solver.

#### Syntax :

discriminant(polynomial;variable)

#### Examples :

To calculate the discriminant of the quadratic equation x^2+x+1, just enter: discriminant(x^2+x+1;x) which returns -3.