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# If n is an integer and x^n - x^-n = 0, what is the value of

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Senior Manager
Joined: 07 Jan 2008
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If n is an integer and x^n - x^-n = 0, what is the value of [#permalink]  21 May 2008, 06:09
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If n is an integer and x^n - x^-n = 0, what is the value of x?

1) x is an integer
2) x <> 0 [x is not equal to 0]
Current Student
Joined: 28 Dec 2004
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Location: New York City
Schools: Wharton'11 HBS'12
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Kudos [?]: 181 [0], given: 2

Re: DS - Set 29 [#permalink]  21 May 2008, 08:58
i get E..

x can be 0, -1, 1

1) says x is an integer ok..but it can be 0, -1 or 1
2) says x is not 0..it can be 1, or -1

we need to know N..if N is even..yes.. if odd yes too..
Manager
Joined: 24 Apr 2008
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Re: DS - Set 29 [#permalink]  22 May 2008, 04:00
Ans is E

x^n -x^-n = 0 will imply either x = 1 or n=0

st1: X could take any value when n=0 so insuffi
st2: X can never be 0 and doesnot give an exact ans so insuffi

So E
Senior Manager
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Re: DS - Set 29 [#permalink]  22 May 2008, 15:14
I simplyfied given equation as following

x^2n-1=0

x^2n=1

for this to be true , we must know if x =1/-1 and/or n=0/even ...none of this information given in 2 condition so answer E .
Re: DS - Set 29   [#permalink] 22 May 2008, 15:14
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