Completing the Square

• √81 = 9
• 9 ÷ 9 = 1
• 9 × 2 = 18
• √9 = 3

√x = 7 x² = 7 49² = x √49 = x

• √x = 7

• x² = 7

• 49² = x

• √49 = x

• 25² = x
• x² = 5
• x² = 25
• √25 = x²

The area of the square pool on Mr. Carr's vacation was 256 ft². How long was one side of the pool?

• 17 ft

• 18 ft

• 16 ft

• 15 ft

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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

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

The quadratic shown is going to be solved by completing the square, the first step is shown Problem: x² + 6x + ​ (a)   = ​ (b)   What are the missing values?

• 9

• 14

• 6

• 5

• -6

• -9

• 3

• 8

• 12

Solve for the POSITIVE SOLUTION ONLY of x by completing the square. ROUND to the nearest hundredth (2 decimal places).

Mathematical Equivalence

ON