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[answered] Assignment: Solving Quadratic Equations Investigation Karen


11/17/2016. Assignment # 2. Can someone please answer CORRECTLY the questions ON THE ATTACHED FILE???


Assignment: Solving Quadratic Equations Investigation

 

Karen has been working on her math homework for a very long time. Dakota asked about the

 

methods Karen was using to solve each equation.

 

Part I: Evaluate

 

Take a look at Karen's work and then show her a more efficient way of finding each solution.

 

Karen?s Work

 

Problem #1:

 

2x2 = 200

 

Method Selected: Quadratic Formula

 

Karen?s Work: Better Method for Solving

 

Problem #1:

 

2x2 = 200

 

Method Selected: _______________

 

Your Work: 2 x 2 200

 

2 x 2 200 0

 

x 0 (0)2 4(2)( 200)

 

2(2) x 0 1600

 

4 40

 

x 4

 

x 10 and 10

 

{10,10} ? K12 Inc.

 

AV011413 Problem #2: Problem #2:

 

x2 ? 4x ? 5 = 0 x2 ? 4x ? 5 = 0 Method Selected: Completing the Square

 

Karen?s Work: Method Selected: _______________

 

Your Work: x2 ? 4x ? 5 = 0

 

x2 ? 4x = 5

 

x2 ? 4x + 4 = 5 + 4

 

(x ? 2)2 = 9

 

x?2=?3

 

x = 2 + 3 and x = 2 ? 3

 

x = 5 and x = ?1

 

{?1, 5} Problem #3: Problem #3:

 

x2 ? 144 = 0 Method Selected: Quadratic Formula

 

Karen?s Work: x2 ? 144 = 0

 

Method Selected: _______________

 

Your Work: x2 ? 144 = 0

 

x 0 (0)2 4(1)( 144)

 

2(1) x 0 576

 

2 24

 

x 2

 

x = 12 and x = ?12 {?12, 12} ? K12 Inc.

 

AV011413 Problem #4: Problem #4:

 

(x ? 4)2 = 25 Method Selected: Quadratic Formula

 

Karen?s Work: (x ? 4)2 = 25

 

Method Selected: _______________

 

Your Work: (x ? 4)2 = 25

 

x2 ? 8x + 16 = 25

 

x2 ? 8x + 16 ? 25 = 25 ? 25

 

x2 ? 8x ? 9 = 0

 

x ( 8) ( 8)2 4(1)( 9)

 

2(1) x 8 64 36

 

2 x 8 100

 

2

 

8 10

 

x 2

 

18

 

x 9 and x 2 1

 

2

 

2

 

{?1, 9} ? K12 Inc.

 

AV011413 Problem #5: Problem #5:

 

x2 ? 16x + 64 = 0 x2 ? 16x + 64 = 0 Method Selected: Completing the Square

 

Karen?s Work: Method Selected: _______________

 

Your Work: x2 ? 16x + 64 = 0

 

x2 ? 16x = ?64

 

x2 ? 16x + 64 = ?64 + 64

 

(x ? 8)2 = 0

 

x?8=0

 

x=8

 

{8} Part II: Compare and contrast

 

Choose two of the equations to compare and contrast problem solving strategies and solutions.

 

Did Karen get the correct answers? Why do you think it took her over two hours? (Note: Use at

 

least two of this module?s vocabulary words in your response.) ? K12 Inc.

 

AV011413

 


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