# Discriminant Calculator

Discriminant Calculator
Enter values of a,b,c in ax2+bx+c=0
a

b

c

Discriminant

The discriminant calculator is a free online tool that gives the discriminant value for the given coefficients of a quadratic equation. BYJU’S online discriminant calculator tool makes the calculations faster and easier, where it displays the value in a fraction of seconds.

## How to Use the Discriminant Calculator?

The procedure to use the discriminant calculator is as follows:

Step 1: Enter the coefficient values such as “a”, “b” and “c” in the given input fields

Step 2: Now click the button “Solve” to get the output

Step 3: The discriminant value will be displayed in the output field

### Discriminant Definition

A discriminant is a function of the coefficients of a polynomial equation that expresses the nature of the roots of the given quadratic equation. The equations can discriminate between the possible types of answer, such as:

• When the discriminant value is positive, we get two real solutions
• When the discriminant value is zero, we get one real solution
• When the discriminant value is negative, we get a pair of complex solutions

### Standard Form

The standard discriminant form for the quadratic equation ax2 + bx + c = 0 is

Discriminant, D = b2 – 4ac

Where

a is the coefficient of x2

b is the coefficient of x

c is a constant term.

## Frequently Asked Questions on Discriminant Calculator

### Why is discriminant value important in quadratic equation?

Discriminant value reveals the nature of the roots of the quadratic equation. The roots of the quadratic equation may be either real or complex. It helps to determine the solution of an equation.

### How to determine the nature of roots using the discriminant value?

A quadratic equation can have different types of roots. Based on the discriminant value, the nature of roots are determined. They are:

If D> 0, the roots are real and unequal

If D = 0, the roots are real and equal

If D < 0, the roots are not real (i.e., complex)