9.3 Review - Solve Quadratic Equations by Completing the Sq.

9.3 Review - Solve Quadratic Equations by Completing the Sq.

Go to https://youtu.be/t66sYGyxQTs to watch an example.

Multiple Choice

Complete the square

 $x^2+10x+?$ 

•  $x^2+10x+100$  

•  $x^2+10x-100$  

•  $x^2+10x+25$  

•  $x^2+10x-25$  

Multiple Choice

Complete the square

 $x^2+6x+?$ 

•  $x^2+6x+9$  

•  $x^2+6x-9$  

•  $x^2+6x+36$  

•  $x^2+6x-36$  

Multiple Choice

Complete the square

 $x^2+12x+?$ 

•  $x^2+12x+144$  

•  $x^2+12x-144$  

•  $x^2+12x+36$  

•  $x^2+12x-36$  

Multiple Choice

What should be added to both sides of the following equation to complete the square?
 $x^2+12x=5$  

• 12

• 36

• 6

• 5

Multiple Select

What are the solutions? Select all that apply.
 $\left(x-2\right)^2=5$  

•  $x=2+\sqrt{5}$  

•  $x=2-\sqrt{5}$  
  

•  $x=7$  

•  $x=3$  

•  $x=-2-\sqrt{5}$  

Multiple Choice

Solve the quadratic equation by completing the square.
 $x^2-4x+4=5$  

What is the next step in solving this equation?
 $\left(x+?\right)^2=5$  

•  $\left(x-2\right)^2=5$ 

•  $\left(x+2\right)^2=5$ 

•  $\left(x+8\right)^2=5$  

•  $\left(x+5\right)^2=5$  

Multiple Choice

What is the first step to solving THIS equation by completing the square?

 $a^2+8a+21=0$  

• Add  $a^2$  and  $8a$  together

• Divide 8 by 2 and add the result to both sides

• Subtract 21 to both sides

• Subtract 8 to both sides

Multiple Choice

What should be added to both sides of the following equation to complete the square?
 $a^2+8a=-21$  

• 16

• 8

• 64

• 4

Multiple Choice

Solve the quadratic equation by completing the square.
 $a^2+8a+16=-5$  

What is the next step in solving this equation?
 $\left(a+?\right)^2=-5$  

•  $\left(a+4\right)^2=-5$ 

•  $\left(a-4\right)^2=-5$ 

•  $\left(a+8\right)^2=-5$  

•  $\left(a-8\right)^2=-5$  

Multiple Select

What are the solutions?

 $\left(a+4\right)^2=-5$  

• no real solutions

•  $a=-4+\sqrt{5}$ 

•   $a=-4-\sqrt{5}$ 

•  $a=4-\sqrt{5}$  

•  $a=-5$  

Multiple Select

Solve by completing the square. Select all the solutions

 $x^2+10x=-9$ 

•  $x=1$  

•  $x=-1$  

•  $x=9$  

•  $x=-9$  

•  $x=-12$  

Multiple Select

Solve by completing the square. Select all the solutions

 $k^2-12k+20=0$ 

•  $k=-6$  

•  $k=10$  

•  $k=2$  

•  $k=-2$  

•  $k=6$  

Multiple Select

Solve by completing the square. Select all the solutions

 $n^2-2n-3=0$ 

•  $n=3$  

•  $n=-3$  

•  $n=-1$  

•  $n=1$  

•  $n=4$