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

Description :

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)
See also :
  • Degree of a polynomial : degree. The degree function calculates online the degree of a polynomial.
  • Calculation of the discriminant online : discriminant. Calculator that allows the calculation of the discriminant of a quadratic equation online.
  • Equation solver : equation_solver. The equation solver allows to solve online equation with calculation steps : linear equation, quadratic equation, logarithmic equation, differential equation.
  • Euclidean division : euclidean_division. The euclidean_division function to calculate online the quotient and the remainder in the euclidean division of two polynomials or two integers.
  • Pythagorean theorem : pythagorean. The function makes it possible to verify by using the Pythagorean theorem knowing the lengths of the sides of a triangle that this is a right triangle. If the sides of the triangle depend on a variable, then the value of the variable is calculated so that the triangle is a right triangle.