QUADRATICS COMPLETING THE SQUARE (easy examples) PPT

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Slide 1  A Mathslay3r
 Production
 A Mathslay3r
 Production
 A Mathslay3r
 Production
 A Mathslay3r
 Production
 Quadratics
 Completing the Square
 Part One
 Easy Examples
 @2015

Slide 2  A Mathslay3r
 Production
 A Mathslay3r
 Production
 A Mathslay3r
 Production
 @2015
 This is for every math underdog that never got it..

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.

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.

Slide 5  And, you have an epiphany.
 Which is sort of like having a cow….
 But much, much worse

Slide 6  As you scan the prof’s syllabus, your life is….well….you get the picture

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

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

Slide 10
 @2015
 A technique called
 Completing the square Is more difficult to learn, but easier to remember and with practice requires fewer steps

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

Slide 12  Before you start…...
 Know that:
 Is the standard algebraic form
 of a quadratic equation.
 Where are coefficients

Slide 13  Before you start…...
 Know that: must be equal to one
 When: You begin Completing the Square.

Slide 14  Solve by Completing the Square

Slide 15  Okay, so that was a little too fast…but you will pick up speed like that soon…
 Here’s the Slomo
 Subtract ‘c’ from both sides
 Take ‘b’ split it in half
 Square that & Add result to both sides

Slide 16  Factor the right side
 simplify

Slide 17  Root out both sides
 Plus or minus on the right

Slide 18  Get ‘x’ by itself

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

Slide 20  Solve by Completing the Square
 Root out both sides
 Plus or minus on the right
 Simplify
 Done!

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

Slide 22  Solve by Completing the Square
 Check your work

Slide 23  What if the bcoefficient is odd?
 What you add to both sides will be a fraction
 Other wise the process is the same

Slide 24  What if the bcoefficient is odd?
 What you add to both sides will be a fraction
 Other wise the process is the same

Slide 25  What if the bcoefficient is odd?

Slide 26  What if the bcoefficient is odd?

Slide 27  What if the bcoefficient is odd?