A2 - U4L9 - Completing the Square

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

To solve by completing the square, what needs to be moved to the left in this equation?

x² = 9 - 4x

• the -4x
• the 9
• the x²

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

• 4
• 2
• 8
• 20

What value of c would make this a perfect square trinomial?

x² +8x + c

• 4
• 16
• 64
• -16

Complete the Square
x² + 6x = 5

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

Solve by completing the square:

k² − 12k + 23 = 0

• $k=6\pm\sqrt{13}$

• $k=-6\pm\sqrt{13}$
  

• $k=6\pm\sqrt{59}$
  

• $k=-6\pm\sqrt{59}$
  

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

• y = 1 and -12

• y = -1 and -9

• y = 1 and -9

• y = 1 and -1

Solve by completing the square.

x² +12x = 5

• $x=6\pm\sqrt{41}$

• $x=35,\ 47$
  

• $x=−6\pm\sqrt{41}$
  

• $x=\sqrt{35},\ \sqrt{47}$
  

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

x² + 6x - 4 = 36