[ (x + 1) + 1 / (x - 1) ]

...You can find any number that can be subtracted and divided by to get the same result. So...

[ (x + 1) + 1 / (x - 1) ] - x = [ (x + 1) + 1 / (x - 1) ] / x

...the same equation divided and minus x is the same. For example...

[ (10 + 1) + 1 / (10- 1) ] - 10 = [ (10+ 1) + 1 / (10 - 1) ] / 10

[ (11) + 1 / (9) ] - 10 = [ (11) + 1 / (9) ] / 10

(11 1/9) - 10 = (11 1/9) / 10

10 / 9 = 10 / 9

...So basically...

11.111 / 10 = 1.111

11.111 - 10 = 1.111

...Just like...

7.2 / 6 = 1.2

7.2 - 6 = 1.2

...So did I find something special, or this something you learn on calculus or something?

**Edited by ShamusHand, 02 December 2008 - 10:32 PM.**