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

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.

discriminant(polynomial;variable)

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

See also

- Degree of a polynomial : degree. The polynomial degree calculator allows you to determine the largest exponent of a polynomial.
- Calculation of the discriminant online : discriminant. Calculator that allows the calculation of the discriminant of a quadratic equation online.
- Quotient and remainder calculator : euclidean_division. The calculator allows to find online the quotient and the remainder in the euclidean division of two polynomials or two integers.
- Pythagorean theorem calculator : pythagorean. The calculator uses the Pythagorean theorem to verify that a triangle is right-angled or to find the length of one side of a right-angled triangle.
- Solve for x calculator : equation_solver. The equation solver allows to solve equations with an unknown with calculation steps : linear equation, quadratic equation, logarithmic equation, differential equation.
- Valuation of a polynomial : valuation. The valuation function allows to calculate the valuation of a polynomial online.