# Quadratic Equation Calculator

The word "Quadratic" is derived from the word "Quad" which means square. In other words, a quadratic equation is an “equation of degree 2”

## What is a Quadratic Equation Calculator?

'Cuemath's Quadratic Equation Calculator' is an online tool that helps to solve the given quadratic equation. Cuemath's online Quadratic Equation Calculator helps you to solve the quadratic equation in a few seconds.

NOTE: The coefficient of x^{2} should not be zero.

## How to Use Quadratic Equation Calculator?

Please follow the steps below to solve the quadratic equation:

**Step 1:**Enter the coefficients of a quadratic equation in the given input boxes.**Step 2:**Click on the**"Calculate"**button to solve the given quadratic equation.**Step 3:**Click on the**"Reset"**button to clear the fields and solve for different quadratic equations.

## How to Find Quadratic Equation Calculator?

**An equation of the form ax ^{2 }+ bx + c = 0, **where a≠0 is called a quadratic equation and a, b, c are coefficients of the quadratic equation.

To solve the quadratic equation, we need to find the roots of a given quadratic equation, we use the discriminant formula given by:

**\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)**

**Solved Example:**

Solve the quadratic equation x^{2} + 5x + 6 =0

**Solution:**

Given: a = 1, b = 5, c = 6

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(x = {-5 \pm \sqrt{5^2-24} \over 2}\)

\(x = {-4 \over 2}, {-6 \over 2}\)

\(x= {-2},{-3}\)

Thereofore, roots of given quadratic equation are -2, -3

Similarly, you can try the calculator to solve the quadratic equation for the following:

- 2x
^{2}+ x − 3 = 0 - x
^{2}+ 10x − 11 = 0