Calculate Discriminant Online - Solumaths

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Calculation of the discriminant online : How to use it?

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.

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.

See also Other resources
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