Alg Unit 4A Day 6 Completing the Square

Multiple Choice

Find the value of "c" that completes the square.

$$x^2+28x+c$$  

• 28

• 14

• 196

• 56

Multiple Choice

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

Which equation is correct?

Multiple Choice

• 2

• 4

• 8

• 16

Multiple Choice

Multiple Choice

• $$\frac{9}{2}$$  

• $$\frac{3}{2}$$  

• $$\left(\frac{3}{2}\right)^2$$  

• $$\left(\frac{9}{2}\right)^2$$  

Multiple Choice

Complete the square for the equation:

$$x^2+6x-4=0$$  

• $$\left(x+3\right)^2=4$$  

• $$\left(x-3\right)^2=4$$  

• $$\left(x+3\right)^2=13$$  

• $$\left(x-3\right)^2=13$$  

Multiple Choice

Complete the square for the equation:

$$x^2-10x+7=0$$  

• $$\left(x-5\right)^2=18$$  

• $$\left(x+5\right)^2=18$$   

• $$\left(x-5\right)^2=-7$$    

•   $$\left(x+5\right)^2=-7$$  

Multiple Choice

Complete the square for the equation:

$$x^2-24x+23=0$$  

• $$\left(x+12\right)^2=121$$  

• $$\left(x-12\right)^2=121$$  

• $$\left(x+12\right)^2=144$$   

• $$\left(x-12\right)^2=144$$   

Multiple Choice

What value of c would make this a perfect square trinomial? x² +8x + c

• 4
• 16
• 64
• -16

Multiple Choice

Solve by method of your choice.

x² + 10x = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Multiple Choice

$$f\left(x\right)=x^2-16x+43$$  

Complete the square and find the zeros

• $$x=-16\pm\sqrt{21}$$  

• $$x=16\pm\sqrt{21}$$  

• $$x=-8\pm\sqrt{21}$$  

• $$x=8\pm\sqrt{21}$$  

Multiple Choice

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

x² + 4x + 1 = 0

• $$x=-2\pm\sqrt{3}$$  

• $$x=-3\pm\sqrt{2}$$  

• $$x=2\pm\sqrt{3}$$  

• $$x=2\pm\sqrt{2}$$  

Multiple Choice

Solve by completing the square.
y² + 10y = -9

• y = 1

  y = -12

• y = -1

  y = -9

• y = 1

  y = -9

• y = 1

  y = -1