1. Day 20: Completing the Square! Oh, baby!
Math 3
Day 20:
Completing the Square! Oh, baby!

2. (1) First, an easy one. Solve it!

3. #2-5: Solve these using square roots:

4. Unfortunately, we can’t factor every equation….

5. Completing the Square <<<<<< The Magic Number! #6:#7

6. Solving EQUATIONS by Completing the Square
And now…………………

7. Write the problem = 0 Move c Complete the sq: (add to both sides)
#8:
Write the problem = 0
Move c
Complete the sq:
(add to both sides)
Factor
Solve as normal

8. #9: Solve for X:

9. #10: Solve for X:

10. Question: What is this used for besides solving equations?
Answer: To make graphing easier! Completing the square puts the equation into vertex form.

11. #11: Graph!