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# What's the value of x? 1). Root > 10 2). Root < 11

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Manager
Joined: 04 Sep 2006
Posts: 113
What's the value of x? 1). Root > 10 2). Root < 11 [#permalink]

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27 Jun 2009, 22:26
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What's the value of x?
1). Root [(x-5)(x + 4)] > 10
2). Root [(x-5)(x + 4)] < 11

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

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Senior Manager
Joined: 18 Jun 2009
Posts: 349
Location: San Francisco

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29 Jun 2009, 14:52
IMHO - E

So solving the equations we get

100 < x^2-x-20 < 121

Not sufficient enuf

Whats the OA ?
Intern
Joined: 24 May 2009
Posts: 4

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29 Jun 2009, 17:36
100 < x^2-x-20 < 121

If x is real then it will be E but if x has to be integer then it will be C. value of X will be 12.

Gurus what think?
Senior Manager
Joined: 18 Jun 2009
Posts: 349
Location: San Francisco

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29 Jun 2009, 18:44
Yes if X is integer then X will be 12 and it would be C
Manager
Joined: 28 Jan 2004
Posts: 198
Location: India

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29 Jun 2009, 18:56
how do you guys calculated the value of X to be 12 ?
Senior Manager
Joined: 18 Jun 2009
Posts: 349
Location: San Francisco

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29 Jun 2009, 19:04
Since the boundary values are squares of 10 and 11 and the equation is just x-20 less than x^2, I started plugging in numbers from 10 onwards and only 12 satisfies.

Other easier way was in the original equation start pugging in values starting starting from 10.

100<(x-5)(x+4)<121

If there is a better or easier way please let us know..

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

This is not a quality discussion. 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: sq inequality   [#permalink] 29 Jun 2009, 19:04
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