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# If x+(1/x)=4, what is the value of x^2+(1/x)^2?

Author Message
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6611
GMAT 1: 760 Q51 V42
GPA: 3.82
If x+(1/x)=4, what is the value of x^2+(1/x)^2?  [#permalink]

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26 Sep 2017, 00:21
00:00

Difficulty:

35% (medium)

Question Stats:

88% (00:51) correct 13% (02:44) wrong based on 8 sessions

### HideShow timer Statistics

[GMAT math practice question]

If x+(1/x)=4, what is the value of x^2+(1/x)^2?

A. 12
B. 13
C. 14
D. 15
E. 16

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Intern
Joined: 14 Sep 2017
Posts: 5
Re: If x+(1/x)=4, what is the value of x^2+(1/x)^2?  [#permalink]

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26 Sep 2017, 00:53
MathRevolution wrote:
[GMAT math practice question]

If x+(1/x)=4, what is the value of x^2+(1/x)^2?

A. 12
B. 13
C. 14
D. 15
E. 16

x+(1/x)=4
=> {x + (1/x)}^2=16
=> x^2 + 2.x.(1/x)+ (1/x)^2=16
=> x^2+ 2+ (1/x)^2=16
=> x^2+ (1/x)^2=14
Math Expert
Joined: 02 Sep 2009
Posts: 51044
Re: If x+(1/x)=4, what is the value of x^2+(1/x)^2?  [#permalink]

### Show Tags

26 Sep 2017, 01:01
MathRevolution wrote:
[GMAT math practice question]

If x+(1/x)=4, what is the value of x^2+(1/x)^2?

A. 12
B. 13
C. 14
D. 15
E. 16

Duplicate post: if-x-1-x-4-x2-1-x2-226125.html

TOPIC IS LOCKED AND ARCHIVED.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: If x+(1/x)=4, what is the value of x^2+(1/x)^2? &nbs [#permalink] 26 Sep 2017, 01:01
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