Completing the Square and Square Root Property

When should you decide to Complete the Square?

• When the a value is larger than 1

• When the middle term is odd

• When a = 1 and the middle term is even

Tags

CCSS.HSA-REI.B.4B

How do I find the "MAGIC Number" when completing the square?

• Move c to the other side

• b value divide by 2 and square 

• Make 2 equations, one = + and one = -

• Square root both sides

Tags

CCSS.HSA-REI.B.4B

Which method is MOST EFFICIENT to solve:
8x²  -  6  = 0

• Square Root Method

• Greatest Common Factor (GCF)

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square 4x² - 32x + 8 = 12 (lead number must be 1!)

• x = 8.12 & -0.12

• x = 8.12 & 0.12

• x = -8.12 & 0.12

• x = -8.12 & -0.12

Tags

CCSS.HSA-REI.B.4B

Solve for x.

• 0 and -8

• -8 and 5

• 0 and 8

• 0 and -2

Tags

CCSS.HSA-REI.B.4B

• A

• B

• C

• D

Tags

CCSS.8.EE.A.2

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

(x-5)² = 25

• ±0

• ±10

• 10, 0

• -10, 0

Tags

CCSS.HSA-REI.B.4B

Solve using the square root property:

x² - 6 = -50

Tags

CCSS.HSA-REI.B.4B