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.

Quadratic Equation

1. Quadratic Equation Template

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2. Solving Quadratic Equations by Completing

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3. Quadratic Equations and Conics

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4. Methods for Solving Quadratic Equations

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5. Solving Quadratic Equations

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6. Determining Quadratic Functions

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7. Factoring Quadratic Equation

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8. Factoring and Solving Quadratic Equations Worksheet

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9. Solving Quadratic Equations by Factorisation

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What Is the Quadratic Equation?

The quadratic equation has many practical applications that range from the prices of products, services, and commodities to the range or speed of an object being pushed by mechanical energy and electrical energy. 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 outline or outline format. 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.

FAQs

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.

Which portion of the quadratic equation should I answer first?

The quadratic formula is  x = (-b ± [√b^2 – √4ac] /2a). The first portion that you will solve in the quadratic equation is the variables or numbers in the square root of the quadratic formula. Everything else will follow in the quadratic formula.

How do I graph a quadratic equation?

First, you must use a modified version of the quadratic equation where y= ax^2 + bx + c. Then you must use the quadratic formula to search for the two sets of the variable x. Using the two sets of x, you will now search for the two sets of variable y. Doing this will provide you with two x and y coordinates for your graph.

The quadratic equation is a static equation a person can use for various purposes and reasons that will vary on the context of the whole situation. A person must properly familiarize themself and understand the basic form of the quadratic equation and formula to properly provide the correct answers for these equations.

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