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The reciprocal of x - 2 is x +2
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17 Dec 2017, 12:50
17 Dec 2017, 12:50
2
Expert Reply
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Question Stats:
66% (00:57) correct
33% (00:44) wrong based on 39 sessions
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The reciprocal of x - 2 is x +2
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x |
3 |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
Re: The reciprocal of x - 2 is x +2
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10 Jan 2018, 19:48
10 Jan 2018, 19:48
2
x-2=1/(x+2)
(x+2)(x-2)=1
x^2-2^2=1
x^2=5
x=√5, which is 2.2
Hence, Quantity B is greater than A
(x+2)(x-2)=1
x^2-2^2=1
x^2=5
x=√5, which is 2.2
Hence, Quantity B is greater than A
Retired Moderator
Joined: 13 Aug 2020
Posts: 21
Given Kudos: 13
GRE 1: Q170 V161
GPA: 4
Re: The reciprocal of x - 2 is x +2
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18 Dec 2020, 05:19
18 Dec 2020, 05:19
1
Small note: x can be -√5 or √5. Both possible values are less than 3. Hence the answer is B.
