Completing the Square and Radicals

Solving by Completing the Square

Multiple Choice

What is the correct value of c for this to be a perfect square trinomial?

$$x^2+16x\ +\ c$$  

• 8

• 16

• 64

• 256

Multiple Choice

What is the correct value of c for this to be a perfect square trinomial?

$$x^2-20x\ +\ c$$  

• 100

• -100

• -10

• 400

Multiple Choice

What is the correct value of b for this to be a perfect square trinomial?

$$x^2\ +\ bx\ +\ 25$$  

• 5

• 10

• 12.5

• 625

Multiple Choice

What is the correct value of b for this to be a perfect square trinomial?

$$x^2\ +\ bx\ +\ 121$$  

• 121

• 11

• -11

• -22

Multiple Choice

Solve by completing the square.

$$x^2-10x\ +\ 3=0$$  

• $$x=5\pm\sqrt{28}$$  

• $$x=5\pm\sqrt{22}$$  

• $$x=-5\pm\sqrt{22}$$  

• $$x=-5\pm\sqrt{28}$$  

Multiple Choice

Solve by completing the square.

$$x^2+17x\ +44\ =\ x\ +\ 4$$

• $$x=4\pm2\sqrt{6}$$  

• $$x=-4\pm2\sqrt{6}$$  

• $$x=8\pm2\sqrt{6}$$  

• $$x=-8\pm2\sqrt{6}$$