Completing the Square & Quadratic Formula

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x
• the 9
• the x²

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

Tags

CCSS.HSA-REI.B.4B

When do you use the plus or minus symbol?
±

• After taking the square root of both sides
• After adding the square to both sides
• After taking half of b
• After setting the equation equal to zero

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.HSA.REI.B.4

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

Which equation shows  $x^2+8x+9=0$  after the method of completing the square has been applied?

•  $\left(x+2\right)^2=-5$  

•  $\left(x+4\right)^2=7$  

•  $\left(x+8\right)^2=55$  

•  $x^2=-\left(8x+9\right)$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

When $2x^2-20x+49=19$   is written in the form  $\left(x-p\right)^2=q$   , what is the value of  $q$  ?

• 19

• 10

• 5

• -30

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve  $36x^2+169\ =\ 0$  .

•  $x=\pm\frac{6}{13}i$  

•  $x=\pm\frac{6}{13}$  

•  $x=\pm\frac{13}{6}i$  

•  $x=\pm\frac{13}{6}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.7

Solve  $x^2-4x+18=0$  .

•  $x=-2\pm i\sqrt{14}$  

•  $x=-2\pm\sqrt{14}$  

•  $x=2\pm i\sqrt{14}$  

•  $x=2\pm\sqrt{14}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.7