Complete the Square Complex Solutions

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Mathematical Equivalence

OFF

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

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

Mathematical Equivalence

ON

b

c

100

81

-10

20

119

10

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