Completing the Square

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

• 4
• 2
• 8
• 20

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.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the square.

x² - 14x + ____

• - 196

• 49

• - 49

• 28

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Complete the Square

x² - 10x + ____

• x² + 10x - 100

• x² - 10x + 100

• x² + 10x - 25

• x² - 10x + 25

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $x^2-4x-32=0$  

•  $\left\{6,-4\right\}$  

•  $\left\{11,1\right\}$  

•  $\left\{8,-4\right\}$  

•  $\left\{10,-2\right\}$  

Tags

CCSS.HSA.REI.B.4

 $v^2+2v-23=0$  

•  $\left\{9,1\right\}$  

•  $\left\{-2,-12\right\}$  

•  $\left\{-2+3\sqrt{3},-2-3\sqrt{3}\right\}$  

•  $\left\{-1+2\sqrt{6},\ -1-2\sqrt{6}\right\}$  

Tags

CCSS.HSA.REI.B.4

 $n^2-4n+71=4$  

•  $\left\{7+\sqrt{113},7-\sqrt{113}\right\}$  

•  $\left\{\frac{-10+\sqrt{535}}{5},\frac{-10-\sqrt{535}}{5}\right\}$  

•  $\left\{7+i\sqrt{15},7-i\sqrt{15}\right\}$  

•  $\left\{2+3i\sqrt{7},2-3i\sqrt{7}\right\}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.7

 $n^2-14n-76=-4$  

•  $\left\{2,-4\right\}$  

•  $\left\{7+3i,\ 7-3i\right\}$  

•  $\left\{18,-4\right\}$  

•  $\left\{1+i\sqrt{39},1-i\sqrt{39}\right\}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

 $10v^2-20v-25=5$  

•  $\left\{9+i\sqrt{11},\ 9-i\sqrt{11}\right\}$  

•  $\left\{3,-1\right\}$  

•  $\left\{5,1\right\}$  

•  $\left\{1,-3\right\}$  

Tags

CCSS.HSA.REI.B.4