http://i45.tinypic.com/ivwvtv.jpg

This is from my number theory class, so I'm assuming there is some sort of number theory solution here?

Thanks.

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- March 1st 2010, 03:08 PMdavismjSystem of Linear Equations?
http://i45.tinypic.com/ivwvtv.jpg

This is from my number theory class, so I'm assuming there is some sort of number theory solution here?

Thanks. - March 1st 2010, 08:39 PMSoroban
Hello, davismj!

No, only algebra is needed . . .

Quote:

5) are positive numbers such that:

. .

Find the numbers.

Solve [2] for

Solve [3] for

Equate [4] and [5]: .

Substitute into [1]: .

Hence:. .

Substitute into [6]: .

Substitute into [5]: .

There are two solutions: .

- March 1st 2010, 08:46 PMdavismj
Wow. You have just made me feel terrible about myself for not getting that. I think I'm going to drop out of school now. Thanks, though. (Bow)

- March 2nd 2010, 06:49 AMIntsecxtanx
- March 2nd 2010, 07:49 AMdavismj
- March 2nd 2010, 08:04 AMIntsecxtanx
- March 2nd 2010, 02:29 PMdavismj
- March 2nd 2010, 04:35 PMBruno J.
Another way to do this is to write

and to substitute for . The resulting system is easier to solve!