Completing The Square

Solve by completing the square. Write the answer as #+-square root.

3x^2+36x-15=0

Mathematical Equivalence

ON

Solve by completing the square. Write the answer as #+-square root.

k² − 12k + 23 = 0

Mathematical Equivalence

ON

b

c

10

20

100

119

81

-10

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• 
• 
• 

Complete the square for: v² - 18v + 87 = 7

• (v + 9)² - 1

• (v + 9)² + 1

• (v - 9)² - 1

• (v - 9)² + 1

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

• 8

• 64

• 16

• 4

• 256

Solve by completing the square. Write the answer as #+-square root.

x^2+4x-16=0

Mathematical Equivalence

ON

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

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Kevin wants to solve the equation by completing the square. What values complete the equation?

• 8

• 64

• 16

• 4

• 256