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#1 2008-03-21 06:58:59

tony123
Full Member

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Determine all triples

Determine all triples

, satisfying
,

 

#2 2008-03-21 07:48:17

mathsyperson
Moderator

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Re: Determine all triples

I count five of them.

(0,0,0)
(1,1,1)
(1,-1,-1)
(-1,1,-1)
(-1,-1,1)


Why did the vector cross the road?
It wanted to be normal.
 

#3 2008-03-24 00:12:59

Kurre
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Re: Determine all triples

mutliplying all three equations yields:



if x,y,z is not 0

but we also have yz=x so




so all triples are the ones mathsy named

Last edited by Kurre (2008-03-24 00:15:00)

 

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