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

Determine all triples

, satisfying,

,

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

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

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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