Complete the Square STEPS

What is a good first step for solving this quadratic by completing the square?

• Move the constant term -54 over to the right-hand side.

• Divide both sides by 4

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

• Factor the left-hand side

Tags

CCSS.HSA-REI.B.4B

What is the next step in SQCS?

• Divide both sides by 4

• Factor out a $4x$ on the left-hand side

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

• Move the 45 over to the left-hand side

Tags

CCSS.HSA-REI.B.4B

What is the next step in SQCS?

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

• Factor out a $x$ from the left-hand side

• Move the $\frac{45}{4}$ over to the left-hand side

Tags

CCSS.HSA-REI.B.4B

What number should be added to both sides in order to SQCS?

• 1

• -1

• 4

• -4

Tags

CCSS.HSA-REI.B.4B

What is the next step to SQCS?

• Factor the left-hand side

• Use the quadratic formula

• Subtract 1 from both sides

• Square root both sides

Tags

CCSS.HSA-REI.B.4B

What should go in the yellow area in order to factor the left-hand side?

• +1

• -1

• +2

• -2

• +4

Tags

CCSS.HSA-REI.B.4B

What is the next step in order to SQCS?

• Square root boths sides

• FOIL the left-hand side

• Subtract $\frac{49}{4}$ from both sides

• Use the quadratic formula

Tags

CCSS.HSA-REI.B.4B

What is the next step in order to SQCS?

• Subtract 1 from both sides

• Square both sides

• Use the quadratic formula

Tags

CCSS.HSA-REI.B.4B

What is left to do in order to SQCS?

• Simplify the radical

• Square both sides

• Nothing

• Put it in my calculator

Tags

CCSS.HSA-REI.B.4B

When split up, what are the two solutions to this problem?

• 2.5 and -4.5

• -2.5 and 4.5

• -4 and 3

• 4 and -3

Tags

CCSS.HSA-REI.B.4B