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# Find ALL integer solutions for the following equation:

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Director
Joined: 26 Feb 2006
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Find ALL integer solutions for the following equation: [#permalink]  22 Apr 2007, 10:15
Find ALL integer solutions for the following equation: |Z|=|Z|!
Manager
Joined: 28 Feb 2007
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Re: Factorial [#permalink]  22 Apr 2007, 10:31
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
SVP
Joined: 01 May 2006
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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
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