1. Another way to solve quadratics!
Completing the Square
Another way to solve quadratics!

2. What is completing the square used for?
Completing the square is used for all those not factorable problems!!
It is used to solve these equations for the variable.
It is also used to switch from standard form to vertex form.

3. Rule for Completing the Square
This is now a Perfect Square Trinomial !
So, it factors into this!

4. Example: Find the value of c that makes this a PST, then write the expression as the square of a binomial. x2-3x+c
b=-3

5. Example: Solve by completing the square. x2+6x-8=0
Don’t forget: Whatever you add to one side of an equation, you MUST add to the other side!

6. More Examples! 5x2-10x+30=0 x2-2x+6=0 x2-2x+__=-6+__ x2-2x+1=-6+1

7. Last Example. Write the quadratic function y=x2+6x+16 in vertex form
Last Example! Write the quadratic function y=x2+6x+16 in vertex form. What is the vertex of the function’s graph?
y=x2+6x+16
y-16=x2+6x
y-16+__=x2+6x+__
y-16+9=x2+6x+9
y-7=(x+3)2
y=(x+3)2+7
If the equation, in vertex form, is y=(x+3)2+7, then the vertex must be (-3,7).