The quadratic formula can be a powerful tool in the right hands. It can be applied to solve any situation where you need to find the value of an even number in a specific amount of time.

For example, let’s say you need to solve 7×2 – X = 7, where X is a **whole number**. You have a limited amount of time and don’t know what the even numbers are.

The quadratic formula can be used to give you the values of X in the given time! This is *called numerical solution* and is what most **computer programs offer**.

## Calculate the roots of 7×2 – x = 7

The quadratic formula can be used to calculate the roots of a square matrix, or the values of an unknown quantity in a rectangular matrix. The quadratic formula has two parts: the fundamental theorem and the linear equa-tion.

The *fundamental theorem states* that if you know the value of one variable in one row and one column of a square matrix, then you can find its equivalent in another row and another column.

For example, if we know that the weight of an orange is equal to 6 ounces, we can find its equivalent in another row and another column with an orange having a weight of 8 ounces.

The *linear equation states* that if you know one variable in one place in a vector, then you can find it in *another place using* it as an input. For example, let’s say we want to find the value of x at point (1 , 1) using x = 4 . Then our *linear equation would* be x = 4 + 5 , so we could substitute (1 , 1) into this equation and get 5 + 5 = 7 .

## Find all the possible solutions

The quadratic formula can be used to solve any number of *squared equations*. This includes the *equation 7×2 – x* = 7, where x is the value of one of the variables.

Using the quadratic formula, we can find all the *possible solutions* to any **square equation**. This is helpful when trying to determine why one solution was not a good fit for the original problem.

Many students do not learn this formula in high school or college, so it is important to know how to use it. Luckily, we can show you how in this article!

This article will go through some tips on how to use the quadratic formula to solve problems. However, first we will give you a basic tip on how to use it.

## Put everything in order

The most important thing to know about the **quadratic formula** is that it does not place order in your hands. All it can do is find the closest value to a given value of X, and give you those values.

That’s it!

That’s also what you have to do when *solving equations*!

So, no, you cannot just plug in a number and have your answer appear. You have to **put something** in order of what you want it to be, and then give it a number and see what happens.

This applies even when X is very *small —* for example, when X = 1 or 2 – because then the answer will appear very quickly. With larger numbers, there is more time for order to come into place.

## Solve using a calculator

When you need to solve a quadratic equation, the best way to do it is using a calculator. A calculator can help you determine the value of each variable on the equation, as well as provide the closest solution.

Many calculators have a **quadratic function** that can be used. Just plug in your numbers and **try entering different values** for x to find other solutions. Many times, this is more accurate than using a computer because your fingers may not be able to match up the buttons and fields on a computer.

Solve Using The Quadratic Formula

A good way to learn how to use the quadratic formula is by trying. First, choose an easy problem to solve- say, find the average of three numbers with an average of 7,000 units between them.)

Subtracting both sides of the equation will yield your first number in the parentheses (x). Subtracting that number from both sides of the equation will yield your *second number* in the parentheses (x2). d/dx = x2 so solving this two-line equation will yield x = 2 and d/dx = 2 which equals x2. Now *choose one number* in your solution and solve for x! Try these steps out until you have found your unique value for x.

## Solve by hand using algebra

Using the quadratic formula is not a precise way to solve for x in many cases. There are ways to do it by hand, however!

Using the quadratic formula at a glance is not very helpful when trying to **calculate cost savings**. That depends on your goal. For example, if you **want cost savings** as a method of **teaching improvement**, then using the quadratic formula is not going to help that more effectively.

But if you only wanted x in order to determine if the lesson was worth doing again then by hand? Then yes! By checking the value of x with and without the calculator you can figure out which **one works best** for you.

## What is the quadratic formula?

The quadratic formula is a very *useful math equation* that can be used to solve for any number of things. The quadratic formula can be used to find the value of any algebraic expression.

The quadratic formula was developed in the nineteenth century by *scholars studying polynomial equations*. These equations can have several variables, and when combined together, produce a single variable.

An example of a polynomial equation with two variables is:

2x + 5 = 7, where x = 5, 7, and 15. In this case, the value of the **polynomial depends** on the values of the two other variables.

However, many times we do not know which variables are being used to solve an equation.

## Quadratic Equation Formulas

Most algebraic equations have a variable variable, called the x-variable. The y-variable does not appear to be variable, but it is actually called the factor or factor component.

The x- and y-factors are called factors because they come from variables in an equation. For example, when we say that **luke warm water** will cool a frozen waterball down, we are saying that the waterball contains some of the

**variable lukewarm water**+ some of the variable temperature + the factor component of the time.

To solve an equation with more than one term, you always separate out the ones that have different variables. For example, in the above equation, we **would take away lukewarm** and frozen so that we had only warm water and ice to solve for our frozen waterball.

## Example Using Quadratic Equation Formulas

An example of using the Quadratic Formula to solve an equation is finding the value of a variable in an equation.

For example, say you have an equation that has a variable in it, as the only information. The variable wants to change when the equation has a equal-to-equal-to clause.

Using the Quadratic Formula, you can find the value of the variable in this case. If it is seven, then your solution has a value of seven!

The value of the variable can be found by **changing one side** of the equation to be equal to *something else*. In this case, changing the equal-to clause to be *seven times makes one side* of the *original equation become seven times* what it was before.