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There is no error!
1 is indeed equal to 2 for very large value of 1!
I think this is what just happened to you!  
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0 = false
1 or 2 or >2 = true
1=true
2=true
...
??
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Here:
a(a-a)=(a+a)(a-a)
a=a+a Division by zero in the intermediate step.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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He stole it from me while I was typing!
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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The actual (mathematical) problem is that an equation solution must be traversal(?) to both direction - this is not!
Skipper: We'll fix it.
Alex: Fix it? How you gonna fix this?
Skipper: Grit, spit and a whole lotta duct tape.
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tayoufabrice wrote: Where is the error ?
OK, I give up, where did you leave it?
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I bet he hasn't looked behind the fridge; it's the last place anyone ever looks.
Which (by definition) is where you always find what you are looking for, if you are going to.
So...you should always start looking behind the fridge, and then give up.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Next to his eyes...
Skipper: We'll fix it.
Alex: Fix it? How you gonna fix this?
Skipper: Grit, spit and a whole lotta duct tape.
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Hey do you want to lend me $2000?
If so just give us half of it now, that will mean I owe you $1000 and you owe me $1000 and that will mean we are even.
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P0mpey3 wrote: you owe me $1000 and that will mean we are even.
Are you an employee of the world bank? I think you are.
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No - they'd want 25% annual interest.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Slacker007 wrote: Are you an employee of the world bank?
No but I am often called a banker at least I think that whats they say, it's always accompanied by a hand gesture which looks like somebody shaking a handful of spare change so it must be Banker.
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Abbott and Costello said it better.
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PIEBALDconsult wrote: Abbott and Costello, who were on first, said it better.
It was missing something.
I wanna be a eunuchs developer! Pass me a bread knife!
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tayoufabrice wrote: Where is the error ?
In stupidity?
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Usually the error is between the chair and the monitor.
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What, the desk?
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Close, about an inch away from it. It is usually thick though.
EDIT: I should have put the joke symbol on the first post.
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Nah, she didn't day "damn", she said "f......".
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The error begins from first assumptions -- saying 1=1 at the beginning is meaningless; everthing following can provide no additional insight.
a²-a² and a-a are always zero, but this is due to the nonsense above that -- in particular, while a²-a²=a²-a² may be true, it doesn't follow from a²=a².
The idiot of a Discrete Math teacher I had in college tried showing this to the class once. 
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As I know mathematics doesn't approve 0=0
so, the error is a²-a²=a²-a² (meaning 0=0)
exactly it is a teacher who showed it to us.
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It has nothing to do with 0 equal to 0 or not (which is a mathematical game only), but the fact that division by zero is not permitted (or more precisely the outcome is undefined)...
Skipper: We'll fix it.
Alex: Fix it? How you gonna fix this?
Skipper: Grit, spit and a whole lotta duct tape.
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