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

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

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New post 27 Jun 2009, 22:26
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A
B
C
D
E

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What's the value of x?
1). Root [(x-5)(x + 4)] > 10
2). Root [(x-5)(x + 4)] < 11

Kudos [?]: 65 [0], given: 0

Senior Manager
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Joined: 18 Jun 2009
Posts: 356

Kudos [?]: 79 [0], given: 15

Location: San Francisco
Schools: Duke,Oxford,IMD,INSEAD
Re: sq inequality [#permalink]

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New post 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 ?

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Re: sq inequality [#permalink]

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New post 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?

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Senior Manager
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Joined: 18 Jun 2009
Posts: 356

Kudos [?]: 79 [0], given: 15

Location: San Francisco
Schools: Duke,Oxford,IMD,INSEAD
Re: sq inequality [#permalink]

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New post 29 Jun 2009, 18:44
Yes if X is integer then X will be 12 and it would be C

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Re: sq inequality [#permalink]

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New post 29 Jun 2009, 18:56
how do you guys calculated the value of X to be 12 ?

Kudos [?]: 30 [0], given: 4

Senior Manager
Senior Manager
User avatar
Joined: 18 Jun 2009
Posts: 356

Kudos [?]: 79 [0], given: 15

Location: San Francisco
Schools: Duke,Oxford,IMD,INSEAD
Re: sq inequality [#permalink]

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New post 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..

Kudos [?]: 79 [0], given: 15

Re: sq inequality   [#permalink] 29 Jun 2009, 19:04
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What's the value of x? 1). Root > 10 2). Root < 11

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