# Quadratic Formula Calculator

In **Algebra**, the most common **problems** or questions are **related** to quadratic equations. Multiple **methods** including factorization are used to **solve** those equations and **get** the values of their **variables**. The quadratic **formula **is one of the easiest **ways** to do so as it needs **only** the insertion of values and the **basic** mathematical operations.

But it can be **hard** when you get **complex** values at the end of the **solution**. It will not be **possible** to solve such **values** as they come under the **square root**. To deal with such problems, you can use this **quadratic formula calculator**. This online maths calculator has been designed with an **algorithm** to perform the calculation **according** to your input values.

**Table of Contents**

## What is the Quadratic Formula?

It is a **specific** formula that helps in **finding** the values of **roots**/**variables** of a quadratic **equation**. Using a quadratic **formula**, a student can **easily** find the roots of an **equation** that fulfills the **definition** of the equation.

Before **understanding** the formula, you should **learn** about the quadratic **equation**. A quadratic equation is a specific **type** of equation in which the **maximum** power of the variable is “**2**”.

**Generally**, this equation is shown in Mathematics as

ax^{2}+ bx + c = 0

Here, “a” and “b” represents the coefficients while “c” represents the constant number. Now, we can write the quadratic formula according to this general equation.

x = -b ∓ √b^{2}- 4ac/2a

### How to solve using Quadratic Formula?

As you **can** see the **quadratic** formula, you can easily **solve **an equation using it. If you are **unable** to understand the **process**, you can check the following **example** that we have solved for you.

**Example 1:**

Solve by quadratic formula: 4x2 + 7x + 2 = 0

**Solution:**

We have to put the values in the above formula to find the roots for “x”.

x = -7 ∓ √(7)^{2}- 4(4)(2)/2(4)

By solving this equation, we get the following two values for “x”.

x = {-1.39, -0.36}

### How to use Quadratic Formula Calculator?

You can use this online tool **offered** by Calculator’s Bag in a few simple **steps**. Follow these steps to find the **solution** of any quadratic equation using it.

- Write the coefficient of “
**x**" in the first input box^{2} - Write the coefficient of “
**x**” in the second input box - Insert the constant in the third input box
- This calculator will automatically show you both values for “
**x**”.

The results calculated by this calculator will be those values of “**x**” that will satisfy the equation.

### FAQ | Quadratic Formula Calculator

**What is a quadratic equation?**

In Mathematics, the equation in which the maximum power of a variable is “2”, is called a quadratic equation.

**How many roots does a quadratic equation have?**

A quadratic equation can have a maximum of 2 roots.

**What are the 3 quadratic formulas? **

A quadratic formula can be written in 3 forms i.e. Standard, Factored, and Vertexed. These are called 3 quadratic formulas.

**What is the most basic quadratic equation? **

The most basic quadratic formula is the standard form of this formula.

**What are the rules of the quadratic formula? **

The rule for solving an equation using a quadratic formula is the availability of coefficients of variables and constant numbers.