Completing Square

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

• Perfect Square Trinomial

• DIfference of Squares

• Not a Special Case

• 8

• 64

• 16

• 4

• 256

• +2

• -2

• +4

• -4

• +8

• -8

• +20

• -20

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

Solve by completing the square. Write the answer as #+-square root. k² − 12k + 23 = 0

Mathematical Equivalence

ON

The quadratic shown is going to be solved by completing the square, the first step is shown

Problem: x² + 6x = 5

Step 1: x² + 6x + ​ (a)   = ​ (b)  

What are the missing values?

• 9

• 14

• 6

• 5

• -6

• -9

• 3

• 8

• 12

Solve the following quadratics equation by completing the square (a)  

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2