Mathematics, 24.03.2020 20:08 suee8780
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.
Karenβs Work
Better Method for Solving
Problem #1:
2x2 = 200
Method Selected: Quadratic Formula
Karenβs Work:
Problem #1:
2x2 = 200
Method Selected:
Your Work:
Problem #2:
x2 β 4x β 5 = 0
Method Selected: Completing the Square
Karenβs Work:
x2 β 4x β 5 = 0
x2 β 4x = 5
x2 β 4x + 4 = 5 + 4
(x β 2)2 = 9
x β 2 = Β± 3
x = 2 + 3 and x = 2 β 3
x = 5 and x = β1
{β1, 5}
Problem #2:
x2 β 4x β 5 = 0
Method Selected:
Your Work:
Problem #3:
x2 β 144 = 0
Method Selected: Quadratic Formula
Karenβs Work:
x2 β 144 = 0
x = 12 and x = β12
{β12, 12}
Problem #3:
x2 β 144 = 0
Method Selected:
Your Work:
Problem #4:
(x β 4)2 = 25
Method Selected: Quadratic Formula
Karenβs Work:
(x β 4)2 = 25
x2 β 8x + 16 = 25
x2 β 8x + 16 β 25 = 25 β 25
x2 β 8x β 9 = 0
{β1, 9}
Problem #4:
(x β 4)2 = 25
Method Selected:
Your Work:
Problem #5:
x2 β 16x + 64 = 0
Method Selected: Completing the Square
Karenβs Work:
x2 β 16x + 64 = 0
x2 β 16x = β64
x2 β 16x + 64 = β64 + 64
(x β 8)2 = 0
x β 8 = 0
x = 8
{8}
Problem #5:
x2 β 16x + 64 = 0
Method Selected:
Your Work:
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 moduleβs vocabulary words in your response.)
PLZ help 35 points
Answers: 3
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