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Z^Z|=Z^2 find all integer roots. Z is not 0

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Director
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Z^Z|=Z^2 find all integer roots. Z is not 0 [#permalink] New post 13 May 2007, 22:54
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|Z^Z|=Z^2 find all integer roots. Z is not 0.
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 [#permalink] New post 15 May 2007, 04:50
Sergey_is_cool wrote:
I got 1, -1, and 2


I don't agree with -1.

-1^-1 = - 1/10 => 1/10
-1^2= 1

Therefore it is only 1 and 2.
SVP
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 [#permalink] New post 15 May 2007, 04:58
transatlantiker wrote:
Sergey_is_cool wrote:
I got 1, -1, and 2


I don't agree with -1.

-1^-1 = - 1/10 => 1/10
-1^2= 1

Therefore it is only 1 and 2.


-1 is in too :)

If Z=-1, then
o |Z^Z|= |(-1)^-1| = |1/(-1)| = |-1| = 1
o Z^2 = (-1)^2 = 1

So, |Z^Z| = Z^2
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 [#permalink] New post 15 May 2007, 05:22
transatlantiker wrote:
Fig wrote:
transatlantiker wrote:
Sergey_is_cool wrote:
I got 1, -1, and 2


I don't agree with -1.

-1^-1 = - 1/10 => 1/10
-1^2= 1

Therefore it is only 1 and 2.


-1 is in too :)

If Z=-1, then
o |Z^Z|= |(-1)^-1| = |1/(-1)| = |-1| = 1
o Z^2 = (-1)^2 = 1

So, |Z^Z| = Z^2


You are right... I was stupid. THX.


You are not right ;)... U are not stupid (just a mistake ;))... U are welcome :)
Director
Director
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Joined: 26 Feb 2006
Posts: 908
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 [#permalink] New post 15 May 2007, 07:41
Fig wrote:
transatlantiker wrote:
Fig wrote:
transatlantiker wrote:
Sergey_is_cool wrote:
I got 1, -1, and 2


I don't agree with -1.

-1^-1 = - 1/10 => 1/10
-1^2= 1

Therefore it is only 1 and 2.


-1 is in too :)

If Z=-1, then
o |Z^Z|= |(-1)^-1| = |1/(-1)| = |-1| = 1
o Z^2 = (-1)^2 = 1

So, |Z^Z| = Z^2


You are right... I was stupid. THX.


You are not right ;)... U are not stupid (just a mistake ;))... U are welcome :)


you are right :wink: .................he/she is not.................. :wink: :wink: :wink:
  [#permalink] 15 May 2007, 07:41
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Z^Z|=Z^2 find all integer roots. Z is not 0

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