The * quadratic formula* can be used to find the values of any number when x = 1, 2, 3, or 4. It also can be used to find the values of a square when x = 1 or 2.

The formula can be use when you know the value of **either variable** but not both. For example, in the example below, we know the value of x but not y. Therefore, we must use the quadratic formula to find the value of y.

In this article, we will discuss how to use the quadratic formula to solve some *examples using entry level algebra*.

## Break down what the x-values are

The values of x in the quadratic formula are called x-values. When solving the quadratic, you will need to know these x-values to solve the problem.

Solving a quadratic requires that you find the value of x for a specific solution, and then use this value to find the other solutions. For example, in finding the value of x for a equal to 2, you would use this result to find the other **two numbers**: 0 or 4.

You can find these values in *two ways*: either by creating a **new variable based** on the **ones used previously**, or by changing one of them.

## Solve the left side for x

When the right side of the **quadratic equation** has no solutions, it’s time to look on the opposite side.

Some of the solutions to quadratics can be on the same side as the variable. Using our *original 2×2 matrix*, if the left and right sides had different numbers of variables, then there would be different numbers of solutions.

For example, if x were 6, then there would be two solutions with x = 2 and x = 4. There would be a third solution with x = 2 and no other variable than x. This is why some researchers say that solving for a variable in a **quadratic equation means finding** a different number for that variable.

This same principle applies to solving for an unknown in a quadratics. If you cannot find an answer that has one or **two numbers** for the variables, then look for a different value for that variable.

## Plug both values of x into the original quadratic equation

When you have the answer to the solution to your equation, you can now solve for x.

This is called a solve for x and comes in several forms. Some *examples include finding* the x-value when a quantity ofANGEX, modeling a game of chess with *pawns moving left* to right, and solving for the correct value of b when a quantity of BEAM is placed in the box.

The **b value must** be multiplied by an angle to convert it into its equivalent radian. The next step is to convert the radian into degrees, which **brings us back** to our original problem.

## Check your results by plugging them back into the original quadratic equation

Once you have your answers, you can use the quadratic formula to solve any linear equation!

For example, say your answer to the previous equation was **4 – 7** = 1. Now, using the quadratic formula, you can solve this equation to get 1.

So, the values of 1 in the quadratic formula are 2 and 4. When these **two numbers** are equal to 1, it means that **2 x 4** is equal to **1 x 7**.

It is common to use these values in problems like this.

## Do this as many times as needed to confirm your answers

If you solve a *quadratic equation using* the **quadratic formula**, you can find the values of both the x and y components of the equation.

This is called a solution to the equation and can be used to determine whether the x or y value is greater or less than 2.

If they are, then your answer is larger or less than 2, respectively. This method can be used with many equations, but remember that it may not work for you if you have a lower-case x or y.

It *may require using another way* to solve the problem such as using an integration scheme.

To find whether your answer is 2 or 4, **use either** of these methods.