Completing the Square with steps

We are going to solve this problem by completing the square. To get 1 in front of the quadratic term, we need to divide both sides by what number?

• 4

• 40

• 44

Tags

CCSS.HSA-REI.B.4B

Step 2 says to get the constants on a side by themselves. To this we need to...

• subtract x² from both sides.

• subtract 10x from both sides.

Tags

CCSS.HSA-REI.B.4B

What is the next step?

• Get the constants on a side by themselves.

• Factor both sides.

• Add $\left(\frac{b}{2}\right)^2$ to both sides

• Take the square root of both sides.

Tags

CCSS.HSA-REI.B.4B

What is  $\left(\frac{b}{2}\right)^2$  for this equation?

• -10

• -5

• 25

• 121

Tags

CCSS.HSA-REI.B.4B

What is the next step to solve by completing the square?

• Divide both sides by a.

• add $\left(\frac{b}{2}\right)^2$ to both sides.

• Factor the perfect square trinomial.

• Take the square root of each side.

Tags

CCSS.HSA-REI.B.4B

What number should go in the blank in the last step of the picture?

• 25

• -25

• 5

• -5

Tags

CCSS.HSA-REI.B.4B

What is the next step?

• add 5 to both sides.

• Take the square root of both sides.

Tags

CCSS.HSA-REI.B.4B

What are the solutions to the problem?

• no real solutions

• -1 and 11

• 6 and 5

• -6 and -5

Tags

CCSS.HSA-REI.B.4B

Are you glad this is over?

• Yes!!!!

• This is NOT the answer. Don't pick it.

Tags

CCSS.HSA-REI.B.4B