Solve Equations by Completing the Square

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

Tags

CCSS.HSA-REI.B.4B

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

• the -4x

• the 9

• the x²

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 6x + ____

• x² + 6x + 9

• x² + 6x - 36

• x² + 6x + 36

• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

Tags

CCSS.HSA-REI.B.4B

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

• (v + 9)² - 1

• (v + 9)² + 1

• (v - 9)² - 1

• (v - 9)² + 1

Tags

CCSS.HSA-REI.B.4B

• 8

• 64

• 16

• 4

• 256

Tags

CCSS.HSA-REI.B.4B

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Tags

CCSS.HSA-REI.B.4B

x² + 10x = -9

Steps to solve by completing the square are:

​ (a)  

​ (b)  

​ (c)  

​ (d)  

​ ​ (e)  

• Take half of 10 and square it.

• Add 25 to both sides.

• Solve the perfect square trinomial

• Take the square root of both sides

• Solve for x to get a solution.

• Take half of -9 and add to both sides.

• Divide all terms by 10

• Set equal to zero.

Tags

CCSS.HSA-REI.B.4B

Complete the Square and solve the equation.
m² - 16m = -59

• 8

• 8 ± √ 5

•  ± √ 13

• -8 ± √ 5

Tags

CCSS.HSA-REI.B.4B