# QUADRATICS COMPLETING THE SQUARE (easy examples) PPT

Created 3 years ago

Duration 0:42:42
45
Slide Content
1. ### Slide 1 - A Mathslay3r

• Production
• A Mathslay3r
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• A Mathslay3r
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• A Mathslay3r
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• Completing the Square
• Part One
• Easy Examples
• @2015
2. ### Slide 2 - A Mathslay3r

• Production
• A Mathslay3r
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• A Mathslay3r
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• @2015
• This is for every math underdog that never got it..
3. ### Slide 3 - @2015

• There are two ways to show Completing the Square:
• One method uses function notation
• The other does not.
• This video will focus on the one that does not
• because most often it is taught this way.
• The other way will be shown in a separate video.
4. ### Slide 4 - Everyone wants to use the quadratic formula

• It’s known for being easy.
• It works on everything.
• But then comes that fateful day,
• when you are in your first college math class.
5. ### Slide 5 - And, you have an epiphany.

• Which is sort of like having a cow….
• But much, much worse

7. ### Slide 8

• @2015
• No doubt, the quadratic formula is a beautiful thing.
8. ### Slide 9

• @2015
• But without a calculator,
• it can be a landmine of potential mistakes.
9. ### Slide 10

• @2015
• A technique called
• Completing the square Is more difficult to learn, but easier to remember and with practice requires fewer steps
10. ### Slide 11 - Before you start…...

• Know that a quadratic like:
• Factors to:
• Which is stated as:
• Has the square root of:
11. ### Slide 12 - Before you start…...

• Know that:
• Is the standard algebraic form
• Where are coefficients
12. ### Slide 13 - Before you start…...

• Know that: must be equal to one
• When: You begin Completing the Square.

14. ### Slide 15 - Okay, so that was a little too fast…but you will pick up speed like that soon…

• Here’s the Slo-mo
• Subtract ‘c’ from both sides
• Take ‘b’ split it in half
• Square that & Add result to both sides

• simplify
16. ### Slide 17 - Root out both sides

• Plus or minus on the right

18. ### Slide 19 - Solve by Completing the Square

• Add 21 to both sides
• Take ‘b’ split it in half, then square it
• Add the result to both sides
• Factor the right, simplify the left
19. ### Slide 20 - Solve by Completing the Square

• Root out both sides
• Plus or minus on the right
• Simplify
• Done!
20. ### Slide 21 - Solve by Completing the Square

• Add 20 to both sides
• Take ‘b’ split it in half, then square it
• Add the result to both sides
• Factor the right, simplify the left