Wednesday, April 25, 2007

2=1

Ok, so, the following operations (if you can call it that way) were posted by someone on the MIT Facebook group. The idea was to show that 2 = 1 only that everyone else in the group posted a thousand reasons why the proof was incorrect that it made me feel bad for the person who made the post. Either way, I just wanted to post it here to see what you think about it and if you could come up with different reasons why this may be valid or invalid.

x=1
x=x
x^2=x
x^2-1=x-1
(x^2-1)/(x-1)= (x-1)/(x-1)
x+1=1
2=1

3 comments:

anto said...

well, the only thing i can see that is wrong is that he divided by (x-1) which is o and would make the equation undefined.

anto said...

Nevermind what I said, if you devide by (x+1) it would still yield the same result

Rumidog said...

I'm with Anto on his first comment but not his second one.

(x^2-1)/(x-1) equals x+1 for all x except x = 1

(x-1)/(x-1) is indeterminate

What else is there? Please tell.