# Discriminant Calculator

The discriminant expression b^{2} - 4ac is used when we calculate the quadratic equations. The discriminant formula is also used to determine the nature of the roots of an equation.

## What is Discriminant Calculator?

'Cuemath's Discriminant Calculator' is an online tool that assists in calculating the value of discriminant of a polynomial equation. Cuemath's online discriminant calculator helps you to calculate the value of the discriminant in a few seconds.

## How to Use Discriminant Calculator?

Please follow the below steps to find the value of the discriminant.

**Step 1:**Enter the values of a, b, and c from the equation (ax^{2}+bx+c = 0) in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the value of the discriminant.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find Discriminant Calculator?

Discriminat is a mathematical quantity derived from the coefficients of a polynomial equation that is used further to determine the nature of the roots whether the roots of the equation are real, equal, or imaginary. Discriminant of an equation of the form ax^{2}+bx+c = 0 is calculated using he below given formula:

D = b^{2} - 4ac

Here D is the value of the discriminant.

**Solved Example:**

What should be the value of discriminant (D) in the equation 2x^{2} - x + 8 ?

**Solution:**

D = b^{2} - 4ac

(-1)^{2}^{ }- 64 = 0

1 - 64

Therefore, D = - 63

Thus, the discriminant is -63 of the equation 2x^{2} - x + 8

Similarly you can find the dicriminant of

- 5x
^{2}+ 2x + 5 = 0 - 2x
^{2}-7x + 3 = 0