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Solving Quadratic Equation BY Extracting the Square Root and by Factoring

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Created on June 16, 2020

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Transcript

QUADRATIC EQUATION

What is Quadratic Equation?

DEFINITION

There are several ways to solve quadratic equations.

3. Completing the Square

1. Extracting the Square Root

4. Using the Quadratic Formula

2. Factoring

METHODS

The Square Root Principle

It is useful in solving quadratic equations of the form

RULE

What is the Square Root Principle?

SOLVING QUADRATIC EQUATIONS BY EXTRACTING THE SQUARE ROOT

The Square Root Principle

DISCUSSION

HOW TO SOLVE QUADRATIC EQUATIONS BY EXTRACTING THE SQUARE ROOT?

VIDEO PRESENTATION

CLICK HERE to watch the video.

THE PRINCIPLE OF ZERO-PROPERTY PRODUCTS

Some quadratic equations may be solved by factoring.

Note: Not all quadratic quadratic equations can be solved by factoring. Some quadratic trinomials are not factorable.

DISCUSSION

Solving Quadratic Equations by Factoring

SOLVING QUADRATIC EQUATIONS BY FACTORING

Transpose all terms on the left side of the equation if necessary.

Combine similar terms.

PROCEDURE

Factor the left side of the equation.

Equate each fator to zero.

Solve the equation in step 4.

SOLVE QUADRATIC EQUATION BY FACTORING

Click here

EXAMPLE