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(p/q)^2=4
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20 Jul 2019, 03:13
20 Jul 2019, 03:13
Expert Reply
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Question Stats:
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\((\frac{p}{q})^2=4\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
p |
2q |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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(p/q)^2=4
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20 Jul 2019, 06:55
20 Jul 2019, 06:55
4
Carcass wrote:
\((\frac{p}{q})^2=4\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
p |
2q |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KEY CONCEPT: Squaring a number results in a value that's greater than or equal to 0
For example, \(3^2 = 9\) and \((-3)^2 = 9\)
Given all of this, let's test some values
Case i: p = 2 and q = 1. These values satisfy the condition that \((\frac{p}{q})^2=4\)
We get:
Quantity A: 2
Quantity B: 2(1) = 2
In this case, the two quantities are equal
Case ii: p = -2 and q = 1. These values satisfy the condition that \((\frac{p}{q})^2=4\)
We get:
Quantity A: -2
Quantity B: 2(1) = 2
In this case, Quantity B is greater
Answer: D
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Senior Manager
Joined: 23 Jan 2021
Posts: 294
Given Kudos: 81
Concentration: , International Business
(p/q)^2=4
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22 May 2021, 19:53
22 May 2021, 19:53
GreenlightTestPrep wrote:
Carcass wrote:
\((\frac{p}{q})^2=4\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
p |
2q |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KEY CONCEPT: Squaring a number results in a value that's greater than or equal to 0
For example, \(3^2 = 9\) and \((-3)^2 = 9\)
Given all of this, let's test some values
Case i: p = 2 and q = 1. These values satisfy the condition that \((\frac{p}{q})^2=4\)
We get:
Quantity A: 2
Quantity B: 2(1) = 2
In this case, the two quantities are equal
Case ii: p = -2 and q = 1. These values satisfy the condition that \((\frac{p}{q})^2=4\)
We get:
Quantity A: -2
Quantity B: 2(1) = 2
In this case, Quantity B is greater
Answer: D
RELATED VIDEO
Can we do this?
(p/q)^2=(2)^2
(p/q)==+-2
either p = 2q or p = -2q
