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Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
1
November 03, 2014
Solving Quadratic Equations
by Completing the Square
Part 2
MAFS.912.AREI.2.4b
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
2
November 03, 2014
Solving Quadratic Equations by Completing the Square. when a 1.
1. Keep the terms with variables
on the SAME
side of the equation.Any constant
side of the equation.
OPPOSITE
terms should be on the
2. On the side of the equation with the variables, FACTOR OUT "a"
from the binomial.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
3
November 03, 2014
3. Complete the square with the
ADD, the PRODUCT of "a" and the CONSTANT that wasinside the parentheses to make
a perfect square trinomial to
OPPOSITE side of the equation.
binomial inside the parentheses.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
4
November 03, 2014
4. Factor the perfect square trinomial. Simplify the opposite side of theequation.
5. Solve the equation, using the
SQUARE ROOT Property.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
5
November 03, 2014
EXAMPLE 1
1. Seperate the terms with variables from the constant term.
2. On the side of the equation with the variables, FACTOR OUT "a"
from the binomial.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
6
November 03, 2014
3. Complete the square with the
ADD, the PRODUCT of "a" and the CONSTANT that wasinside the parentheses to make
a perfect square trinomial to
OPPOSITE side of the equation.
binomial inside the parentheses.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
7
November 03, 2014
4. Factor the perfect square trinomial. Simplify the opposite side of theequation.
5. Solve the equation, using the
SQUARE ROOT Property.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
8
November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
9
November 03, 2014
EXAMPLE 2
1. Seperate the terms with variables from the constant term.
2. On the side of the equation with the variables, FACTOR OUT "a"
from the binomial.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
10
November 03, 2014
3. Complete the square with the
ADD, the PRODUCT of "a" and the CONSTANT that wasinside the parentheses to make
a perfect square trinomial to
OPPOSITE side of the equation.
binomial inside the parentheses.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
11
November 03, 2014
4. Factor the perfect square trinomial. Simplify the opposite side of theequation.
5. Solve the equation, using the
SQUARE ROOT Property.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
12
November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
13
November 03, 2014
EXAMPLE 3
1. Seperate the terms with variables from the constant term.
2. On the side of the equation with the variables, FACTOR OUT "a"
from the binomial.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
14
November 03, 2014
3. Complete the square with the
ADD, the PRODUCT of "a" and the CONSTANT that wasinside the parentheses to make
a perfect square trinomial to
OPPOSITE side of the equation.
binomial inside the parentheses.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
15
November 03, 2014
4. Factor the perfect square trinomial. Simplify the opposite side of theequation.
5. Solve the equation, using the
SQUARE ROOT Property.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
16
November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
17
November 03, 2014
EXAMPLE 4
1. Seperate the terms with variables from the constant term.
2. On the side of the equation with the variables, FACTOR OUT "a"
from the binomial.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
18
November 03, 2014
3. Complete the square with the
ADD, the PRODUCT of "a" and the CONSTANT that wasinside the parentheses to make
a perfect square trinomial to
OPPOSITE side of the equation.
binomial inside the parentheses.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
19
November 03, 2014
4. Factor the perfect square trinomial. Simplify the opposite side of theequation.
5. Solve the equation, using the
SQUARE ROOT Property.
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
20
November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
21
November 03, 2014
EXAMPLE 5
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
EXAMPLE 6
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
Lesson 23 Quadratic Equations Solved by Completing the Square Part 2(Version A).notebook
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November 03, 2014
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