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# N|!=|N| How many integer solutions are there

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SVP
Joined: 03 Feb 2003
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N|!=|N| How many integer solutions are there [#permalink]  05 Jun 2003, 22:05
|N|!=|N|

How many integer solutions are there?
SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 7

Kudos [?]: 87 [0], given: 0

I feel I am getting too simple again...
Founder
Affiliations: AS - Gold, UA - Silver, HH-Diamond
Joined: 04 Dec 2002
Posts: 12823
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 2732

Kudos [?]: 13590 [0], given: 3866

Expert's post
stolyar wrote:
I feel I am getting too simple again...

Not for me
SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 7

Kudos [?]: 87 [0], given: 0

bb wrote:
stolyar wrote:
I feel I am getting too simple again...

Not for me

Why not? Simply put |N|=M and solve the initial freak in terms of M. Then get back to N.
Intern
Joined: 15 Apr 2003
Posts: 23
Followers: 0

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

Is 0 also a solution. Thus 1, -1, 2, -2 and 0 are solutions.

if 0 is not a solution can someone explain why not?
SVP
Joined: 03 Feb 2003
Posts: 1607
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Kudos [?]: 87 [0], given: 0

numlock31 wrote:
Is 0 also a solution. Thus 1, -1, 2, -2 and 0 are solutions.

if 0 is not a solution can someone explain why not?

0!=1, so you are wrong. It is for sure.
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