Completing the Square

Completing the Square

Multiple Choice

We do:

When factoring

x² - 4x + 4 = 16,

what goes in the blank?

(x ___ )² = 16

• + 4

• - 2

• + 2

• - 4

Multiple Choice

We do:

Solve the equation

 $\left(x-2\right)^2=16$  

•  $x=6,\ x=-2$  

•  $x=-6,\ x=2$  

Multiple Choice

You do:

Find both solutions to the equation:

 $x^2+8x+16=9$  

•  x = -1, x = 2

•  x = -1, x = -7

•  x = 1, x = 7

•  $x\ =\ \sqrt{13},\ x\ =\ \sqrt{5}$  

Multiple Choice

We do:

Complete the square for

x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Multiple Choice

You do:

Complete the square.

x² - 6x + ____

• x² - 6x + 9

• x² - 6x - 36

• x² - 6x + 36

• x² - 6x - 9

Multiple Choice

We do:

Solve by completing the square.
 $x^2-16x+48=0$  

•  $x=\left\{-12,\ 4\right\}$  

•  $x=\left\{-12,\ -4\right\}$  

•  $x=\left\{-4,\ 12\right\}$  

•  $x=\left\{4,\ 12\right\}$  

Multiple Choice

We do:

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

x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Multiple Choice

You do:

Solve by completing the square.
 $x^2-14x-15=0$  

•  $x=\left\{1,\ 15\right\}$  

•  $x=\left\{-15,\ -1\right\}$  

•  $x=\left\{-15,\ 1\right\}$  

•  $x=\left\{-1,\ 15\right\}$  

Multiple Choice

You do:

Solve by completing the square.
 $x^2-4x-20=0$  

•  $x=\left\{\pm6\sqrt{2}-2\right\}$  

•  $x=\left\{\pm6\sqrt{2}+2\right\}$  

•  $x=\left\{\pm2\sqrt{6}+2\right\}$  

•  $x=\left\{\pm2\sqrt{6}-2\right\}$  

Multiple Choice

You do:

Solve by completing the square.
 $x^2-8x-14=0$  

•  $x=\left\{\pm\sqrt{30}+4\right\}$  

•  $x=\left\{\pm\sqrt{4}+30\right\}$  

•  $x=\left\{\sqrt{30}+4\right\}$  

•  $x=\left\{\sqrt{30}-4\right\}$