With the Discriminant Calculator with steps that we put in your hands here, you will be able to calculate the discriminant of a quadratic equation, with which you will be able to have information about the nature of the roots of the equation.

To use the discriminant calculator perform these two simple steps:

- Enter the value of each of the coefficients of the second degree equation.
- Press the calculate button to obtain the calculation of the discriminant explained step by step.

The discriminant is a numerical value that is used to analyze the solutions of a quadratic equation.

Starting from a quadratic equation written in its standard form:

The discriminant is calculated from the coefficients a, b and c of the quadratic equation, using the formula:

If the discriminant is positive, D>0, then the quadratic equation has two real and distinct solutions.

If the discriminant is zero, D=0, then the quadratic equation has a double real solution.

If the discriminant is negative, D<0, then the quadratic equation has no real solutions, but it can have complex solutions (involving imaginary numbers).

Here are the steps to find the discriminant:

- Identify the values of a, b, and c in the quadratic equation
*a**x*^{2}+*b**x*+*c*= 0. - Substitute the values of a, b, and c into the formula
*D*=*b*^{2}− 4*a**c*. - Simplify the expression by performing the necessary operations, such as multiplication and addition.
- The resulting value is the discriminant of the quadratic equation.

The quadratic equation has two distinct real roots.

The quadratic equation has no real roots.