Completing the Square and Quadratic Formula Review

Complete the square.

x² + 6x + ____

• x² + 6x + 9

• x² + 6x + 36

• x² + 6x - 36

• x² + 6x - 9

Complete the Square

x² + 6x = 5

• (x + 3)² = 5

• (x + 3)² = 14

• (x + 6)² = 9

• (x + 6)² = 14

What are the solutions to this equation?

(2x - 1)² = 49

• x= -7, 8

• x= -4, 5

• x= -4, 3

• x= -3, 4

Solve the equation by completing the square and then finding the roots.

x²+ 6x - 4 = 36

• x = -7, 7

• 
  x = -4 $\pm$ √7

• x = 4, -10

• x = 10, -4

Solve by completing the square.

2x² +24x = 10

• X = 6 + √41, 6 − √41

• X = −6 + √41, −6 − √41

• X = √35 or √47

• X= 35 or 47

How many REAL solutions does the equation have:

 $5x^2+2x+3=0$  

• 0

• 1

• 2

• Not sure

Solve using the Quadratic Formula:

 $x^2-x-2=0$  

• x= $\frac{-1\pm\sqrt{10}}{3}$  

• x= -1, 2

• x= -3, 2

• x= -2, 1

Solve using the Quadratic Formula:

 $x^2+2x=5$  

• x= $-1\pm\sqrt{6}$  

• x=  $\frac{1\pm\sqrt{26}}{10}$  

• x=  $\frac{1\pm\sqrt{101}}{10}$  

• No Solution

How many REAL solutions does the equation have:

 $2x^2-3x-1=0$  

• 0

• 1

• 2

• Not sure

How many REAL solutions does the equation have:

 $2x^2+8x=-8$  

• 0

• 1

• 2

• Not sure