Solving Quadratic Equations by Completing the Square

Write the following quadratic expression in completed square form... x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7

• -7

• -4

• -3

Solve the following equation by completing the square:
x² - 2x - 3 = 0

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

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

Now you: What number should be added to complete the square?

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

Answer explanation

 $\left(2x+1\right)^2=16$  
 $\sqrt{\left(2x+1\right)^2}=\sqrt{16}$  
 $2x+1=\pm4$  
 $x=\frac{4-1}{2}=\frac{3}{2}$ 
 $x=\frac{-4-1}{2}=\frac{-5}{2}$