Solving Quadratic Functions by Completing the Square

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

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2

• x = -6 and 2

• x = 6 and -2

• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

ax²+bx+c=0  is the standard form of a quadratic equation.

• True

• False

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

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square: 
x² + 6x - 27 = 0

• 3 or -9

• 9 or -3

• 6 or -6

• 27 or -3

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

(x + 1) ² + 3 = 15

Tags

CCSS.HSA-REI.B.4B