Completing the Square

How do you find "c" when completing the square?

• $\frac{-b}{2a}$

• $\left(\frac{b}{2}\right)^2$

• $b^2-4ac$

• none of the above

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3

What number should be used for "c" when completing the square?

 $x^2+30x+c$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What number should be used for "c" when completing the square?

 $x^2-12x+c$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the first step when using completing the square?

 $x^2+6x-16=0$  

• Square root both sides

• Add 16 to both sides

• Factor the trinomial

Tags

CCSS.HSA.REI.B.4

What number (c) should be added to both sides of the equation when completing the square?

 $x^2+6x\ +\ ?\ =16\ +\ ?$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the left side of the equation

 $x^2+6x+9=25$  

•  $\left(x+5\right)^2$  

•  $\left(x+3\right)\left(x+2\right)$  

•  $\left(x+3\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the next step when solving by completing the square?

 $\left(x+3\right)^2=25$  

• Square root both sides

• Divide both sides by 2

• Subtract 3 from both sides

Tags

CCSS.HSA.REI.B.4

Finish solving! Select all correct solutions.

 $x+3=\pm5$  

• x = 2

• x = 8

• x = -2

• x = -8

Tags

CCSS.HSA.REI.B.3

What is the error when using completing the square to solve?

• they should've added 14 to both sides instead of 49

• they added 32 + 49 wrong

• they subtracted wrong at the very end

• the factored form should be

  $\left(x-7\right)^2$ instead of $\left(x+7\right)^2$

Tags

CCSS.HSA.REI.B.4

What error was made when solving by completing the square?

• the second solution should be -4 instead of 4

• in the second step they should've added 2 to both sides instead of 1

• they square rooted incorrectly

• they factored the trinomial wrong

Tags

CCSS.HSA.REI.B.4