Completing the Square

Completing the Square

By Darryl Padgett

Multiple Choice

Find the last term:

$$x^2+22x+c$$  

• 22

• 11

• 121

• 44

Multiple Choice

Find the last term:

$$x^2-8x+c$$  

• 8

• 4

• -16

• 16

Multiple Choice

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Multiple Choice

What is one of the solutions to this equation?

(x - 3)² = 49

• 7

• -7

• -4

• 4

Multiple Choice

Solve by completing the square.
x² +12x = 5

• $$x=6\pm\sqrt[]{41}$$  

• X= 35 or 47
• $$x=-6\pm\sqrt[]{41}$$  

• $$x=\sqrt{35}\ or\ x\ =\sqrt{47}$$  

Multiple Choice

Solve by completing the square. $$x^2-8x-20=0$$  

• $$x=\left\{-2,\ 10\right\}$$  

• $$x=\left\{-10,\ 2\right\}$$  

• $$x=\left\{-20,\ -8\right\}$$  

• $$x=\left\{8,\ 20\right\}$$  

Multiple Choice

Solve by completing the square. $$x^2-6x-27=0$$  

• $$x=\left\{-9,\ -3\right\}$$  

• $$x=\left\{-3,\ 9\right\}$$  

• $$x=\left\{-9,\ 3\right\}$$  

• $$x=\left\{3,\ 9\right\}$$  

Lesson Recap

​Students were able to: solve quadratic equations by completing the squares.

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