Algebra 1 CH 10.5 Solve Quadratic Equations by Completing the Square.notebook April 30, 2015
Solve Quadratic Equations by Completing the Square
Solve Quadratic Equations by Completing the Square Solve the following problem:
Objective: • Complete the square • Solve quadratic equations by completing the square
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square
The problem was not very difficult because the left side of the equation could be easily factored. What happens when one side of the equation can not be factored?
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square
When one side of the equation can not be factored, we will use a technique called: Completing the Square
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square For all of the equations where we use the Completing the Square technique, a=1.
So becomes
Remember we have used the standard form of the quadratic equation in the past.
we will concentrate on the value of
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Aug 173:24 PM
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Algebra 1 CH 10.5 Solve Quadratic Equations by Completing the Square.notebook April 30, 2015
Solve Quadratic Equations by Completing the Square To complete the square of :
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square
Solve Quadratic Equations by Completing the Square What is the value of b?
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square
Now use the formula,
and add this to both sides of the original equation.
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square
Aug 173:24 PM
Aug 173:24 PM
Solve Quadratic Equations by Completing the Square
Aug 173:24 PM
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Algebra 1 CH 10.5 Solve Quadratic Equations by Completing the Square.notebook April 30, 2015
Solve Quadratic Equations by Completing the Square
Solve Quadratic Equations by Completing the Square
Look at your hand out titled: Solving Quadratic Equations by Completing the Square
Objective: • Complete the square • Solve quadratic equations by completing the square
This handout is also available on the school web site.