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- May 19th 2008, 11:06 AM #1

- May 19th 2008, 11:45 AM #2

- May 19th 2008, 11:46 AM #3

- May 19th 2008, 01:03 PM #4

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- May 19th 2008, 01:27 PM #5

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Heloo again, yuriythebest!

The second problem is rather bizarre.

I will assume we want*integer*solutions.

We have: .

Divide by 10: .

The left side is of the form: .

The right side is of the form: .

They are equal only when: .

- May 19th 2008, 03:17 PM #6
As usual, Soroban, your post is very useful. However, the left side of your equation is never actually 1. The highlighted element should be .

So, we really have

Of course, you still had the right solution.

Incidentally, the other solution should be about , determined by Newton's method.