Day 20: Completing the Square! Oh, baby!

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Presentation transcript:

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

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

#2-5: Solve these using square roots:

Unfortunately, we can’t factor every equation….

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

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

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

#9: Solve for X:

#10: Solve for X:

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

#11: Graph!