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#1 2017-01-02 01:58:21

Alex2704
Member
Registered: 2017-01-02
Posts: 4

What is this notation?

Hello! I have recently found a problem and I don't know what this notation means.The problem says : find all the triples (x,y,z) for which
{(x-y)/(y-z),(y-z)/(z-x),(z-x)/(x-y)}={x,y,z}.I don't understand what {x,y,z} means.Thanks in advance!

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#2 2017-01-02 02:11:12

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: What is this notation?

Hi;

I think it means:

There does not appear to be any solutions in integers and an infinite number in reals.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2017-01-02 02:15:03

Alex2704
Member
Registered: 2017-01-02
Posts: 4

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#4 2017-01-02 02:15:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: What is this notation?

There will need to be some constraints put on x,y and z to have a question.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2017-01-02 02:20:21

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,234
Website

Re: What is this notation?

If they're integers, you could multiply all the factors on the LHS together to get xyz = 1, then check the different cases.

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