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# Find ALL integer solutions for the following equation:

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Director
Joined: 26 Feb 2006
Posts: 900

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Find ALL integer solutions for the following equation: [#permalink]

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22 Apr 2007, 11:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Find ALL integer solutions for the following equation: |Z|=|Z|!

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Manager
Joined: 28 Feb 2007
Posts: 196

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Location: California

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22 Apr 2007, 11:31
Himalayan wrote:
Find ALL integer solutions for the following equation: |Z|=|Z|!

I think I may be missing something here as 2, 1, 0, -1 and -2 all fullfill it

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SVP
Joined: 01 May 2006
Posts: 1794

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22 Apr 2007, 13:37
First of all, what are the solutions of x=x! ?
x=x!
<=> 2!=2 or 1!=1 (do not forget 0! = 1)

o If z > 0, then z=2 or z=1
o If z =< 0, then z=-2 or z=-1

Finally,
z=-2 or z=-1 or z=1 or z=2

Kudos [?]: 165 [0], given: 0

22 Apr 2007, 13:37
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