## [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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