1. Completing the Square
CA 14.0, 23.0

2. Objective - To solve quadratic equations by completing the square.

3. Methods for Solving Quadratic Equations
1) Square Root Method
(only works when b = 0)
2) Graphic Method
(Often difficult to tell)
x=-1
x=3
3) Quadratic Formula
(Always works)
a=1
b= -2
c= -3
4) Factoring Method
(Works when factorable)
5) Completing the Square
(Always works)

4. The FORM
The form is very important to complete the square. The form you need is:
Once you have this form, you are going to create a PERFECT SQUARE TRINOMIAL on the left side by adding:

5. We will ALWAYS force a =1 when we are working
The FORM
We will ALWAYS force a =1 when we are working

7. Solve by completing the square.
Complete the
perfect square
trinomial

8. Solve by completing the square.
Complete the
perfect square
trinomial

9. Solve by completing the square.
Complete the
square

10. Solve by completing the square.
Complete the
square

11. Solve by completing the square.

12. Solve by completing the square.