# Quadratic Equation – Examples, PDF

There are many proven mathematical equations we can observe in our everyday life that has many practical uses and applications. The quadratic equation is one of the most well-known types of mathematical equation people will encounter in their lives. ncert.nic.in

## 2. Solving Quadratic Equations by Completing alamo.edu

## 3. Quadratic Equations and Conics math.utah.edu

## 4. Methods for Solving Quadratic Equations uww.edu caps.unm.edu sites.math.washington.edu hec.ca

## 8. Factoring and Solving Quadratic Equations Worksheet math.uiowa.edu

## 9. Solving Quadratic Equations by Factorisation scg.ac.uk

## What Is the Quadratic Equation?

The quadratic equation has many practical applications that range from the prices of to the range or speed of an object being pushed by . Therefore it is important to know how to use quadratic equations in various themes, tones, and contexts. If you want to learn more about quadratic equations and how to use them, you may use any of the links above.

## How to Solve a Quadratic Equation

The quadratic equation has elements that one can easily identify and observe, which makes it unique from other equations. The basic form of quadratic equations is ax^2 + bx + c = 0, which can be equated to the quadratic formula. Depending on the usage, the quadratic equation can have a modification where ax^2 + bx + c = y, instead of the basic form.

### Step 1: Identify the Variables of the Quadratic Equation

Begin by identifying the variables that you will use in the quadratic equation through the usage of the quadratic equation’s basic . These three variables should be the a, b, and c of the basic form of the quadratic equation.

### Step 2: Substitute the Correct Variables to the Quadratic Formula

You will now substitute the variables to the correct places in the quadratic formula. The format of the quadratic formula is as follows x = (-b ± [√b^2 – √4ac] /2a). Be sure to put the proper format of the variable you will substitute in the quadratic formula.

### Step 3: Solve The Quadratic Formula

After you have substituted the variables in the quadratic formula, you must solve the equation you have created. This will provide you with two sets of answers, which is dependent on the plus or minus portion of the quadratic formula.

### Step 4: Obtain the Two Final Sets of the Quadratic Equation

The answer to the quadratic equation has two different sets of answers that are highly dependent on the plus and minus sides of the quadratic equation. This will provide you with two forms of the x variable.

## What is the usage of quadratic equations in real-life situations?

A quadratic equation has many real-life applications a lot of professionals can use for their daily activities. For example, architects and engineers can use the quadratic equation to search and find the area of a specific 3D shape.