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What is the value of x? 1) x^x = 2x 2) = x^2 [#permalink]
 05 Feb 2004, 18:54
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What is the value of x?
1) x^x = 2x
2) [x] = x^2
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shubhangi
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GMAT Club Legend
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Hmmm, I feel that there is going to be a controversy about this question again.
From 1) if 0^0 = 0 then possible answers can be 0 and 2
From 2) we get 0, -1, 1
Therefore C, if 0^0=0
Otherwise E is the answer
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Paul
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0^0 is undefined.
I believe A is the answer.
X^X = 2 * X so X = 2
[X] = X^2 X = 0, -1, 1
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GMAT Club Legend
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oops, I meant otherwise A is the answer since only 2 can result from first stem. How silly 
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Paul
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Quote: [X] = X^2 X = 0, -1, 1
[-1] = -1
Last edited by Zhung Gazi on 05 Feb 2004, 21:11, edited 3 times in total.
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What are you trying to demonstrate here Zhung Gazi?
Quote: [-1] = -1
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Best Regards,
Paul
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Paul wrote: What are you trying to demonstrate here Zhung Gazi? Quote: [-1] = -1 [X] = X^2
[-1] = -1 != (-1)^2
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Zhung Gazi..u have an eagle's eye. You caught paul and Anand correcty.
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When did the absolute value of -1 = -1 ?
Absolute value is always +ve
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[x] = integral part of x
{x} = x - [x] = fractional part of x
|x| = absolute value of x
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GMAT Club Legend
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Well, this got me totally confused. shubhangi, can you confirm what you meant by [x]? Ever since "[]" was used on this board, it always stood for abs. value. Besides, GMAT never really tested you on the "integral" or "fractional" part of any number
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Paul
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I beleive the answer should be A
1. x^2 = 2x which means x = 2 sufficient
2. x^2 = x X could be = or 1. Insufficient
How can we assume [x] to be an integral part of x. It is not explicitly stated in the question
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