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#1 2009-07-16 19:27:11

tony123
Member
Registered: 2007-08-03
Posts: 229

relatively prime

Consider the equations.

Where a,b are relatively prime positive integers.


find k

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#2 2009-07-17 16:14:50

Avon
Member
Registered: 2007-06-28
Posts: 80

Re: relatively prime

Since a and b are coprime we must have

and so

and also


Since a and b are positive it follows that

and

and so

Hence
so

Since
we have


Now


and

Therefore

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#3 2009-07-18 03:33:07

tony123
Member
Registered: 2007-08-03
Posts: 229

Re: relatively prime

very good

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