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(p+2)^2

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(p+2)^2 [#permalink] New post 06 Sep 2018, 16:09
Expert's post
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Question Stats:

87% (00:15) correct 12% (00:11) wrong based on 16 sessions
\(p = \pm 3\)

Quantity A
Quantity B
\((p+2)^2\)
\(26\)


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

Kudos for the right answer and solution.
[Reveal] Spoiler: OA

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Re: (p+2)^2 [#permalink] New post 08 Sep 2018, 08:27
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Expert's post
Carcass wrote:
\(p = \pm 3\)

Quantity A
Quantity B
\((p+2)^2\)
\(26\)


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

Kudos for the right answer and solution.


Given: p = 3 or p = -3

Let's test each case.

CASE A: p = 3
We get:
Quantity A: (3 + 2)² = 5² = 25
Quantity B: 26
In this case, QUANTITY B IS GREATER


CASE B: p = -3
We get:
Quantity A: (-3 + 2)² = (-1)² = 1
Quantity B: 26
In this case, QUANTITY B IS GREATER

So, it MUST be the case that QUANTITY B IS GREATER

Answer: B

Cheers,
Brent
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Re: (p+2)^2   [#permalink] 08 Sep 2018, 08:27
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