UPDATE: I spent a few mins today using trial and error methods to try and solve your original, none of my itterative formulae worked. -.- I've got the answer to be around about... x = 2.228833103999. XD
But I'm sure I can get it a little more precise... My calculator was refusing to bother with that many deciamal places. But try that, it's around there... I'm going out to a gig now, I'll use a better method once I get back. =P
I wasn't going to tell you, but since you're so (bleep)ing stubborn, I guess I have to.
I... Accidently miswrote the equation.
It's supposed to be ((x^x)+x)/x = x*x+(x/x)
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__________________C wat I did thar?