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#1 2008-03-20 07:58:59

tony123
Member
Registered: 2007-08-03
Posts: 189

Determine all triples

Determine all triples

, satisfying
,

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#2 2008-03-20 08:48:17

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

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.

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#3 2008-03-23 01:12:59

Kurre
Member
Registered: 2006-07-18
Posts: 280

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 (2008-03-23 01:15:00)

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