# calculation of the discriminant online

## Calculus discriminant

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### Function : discriminant

#### Summary :

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

discriminant 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.

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

#### 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.

Calculate online with discriminant (calculation of the discriminant online)