Completing the Square
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
JadeAnthony Dosdos
Used 14+ times
FREE Resource
6 Slides • 7 Questions
1
Review:
Direction: Find the factors in each quadratic equations.
2
Warm-up/Activity
The following slides has a sentences that are incomplete and you have to fill in the blanks that makes a sentence.
3
Open Ended
After I finished my high school, I want to become _____________.
4
Open Ended
I spent my weekends __________.
5
Open Ended
My hobbies is/are ___________.
6
Open Ended
I love Mathematics because _______________.
7
Open Ended
The weather today is ______________________.
8
Completing the Square
by JadeAnthony Dosdos
9
Core Concepts:
Completing the square defines writing a quadratic in the form of a squared bracket and adding a constant.
Steps:
1. Locate the coefficient of x.
2. Then divide by 2.
3. Squared the result.
4. Add the result in both sides.
5. Squared on the right sides.
6. Then, simplify.
10
Example:
Solve x2 + 10x = -9 by completing the square.
1. Locate the coefficient of x.
2. Then divide by 2.
3. Squared the result.
4. Add the result in both sides.
5. Squared on the right sides.
6. Then, simplify.
Solution:
b = 10
x2 + 10x + ___ = -9
x2 + 10x + 25 = -9 + 25
x2 + 10x + 25 = 16
(x+5)2 = 16
(x+5)2 = 4
x = -1 and x = -9
11
Example:
Solve by completing the square.
1. Locate the coefficient of x.
2. Then divide by 2.
3. Squared the result.
4. Add the result in both sides.
5. Squared on the right sides.
6. Then, simplify.
Solution:
b = 14
x2 + 14x + ___ = 0 + 15
x2 + 14x + ___ = 15
x2 + 14x + 49 = 15 + 49
(x+7)2 = 64
(x+7)2 = 8
x = 1 and x = -15
12
Multiple Choice
Solve x2−18x=40 by completing the square.
x=20
x=2
x=-20
x=2
x=20
x=-2
x=-20
x=-2
13
Multiple Choice
Solve x2+14x−51=0 by completing the square.
x=3
x=-17
x=-3
x=17
x=3
x=17
x=-3
x=-17
Review:
Direction: Find the factors in each quadratic equations.
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