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
Solving Quadratic Equation BY Extracting the Square Root and by Factoring
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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