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#1 2008-03-20 07:58:59
- tony123
- Member
- Registered: 2007-08-03
- Posts: 230
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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