A colleague gave me an interesting 1=2. Not too hard to figure out the flaw, but interesting:

1^2 = 1
2^2 = 2 + 2
3^2 = 2 + 2 + 3
4^2 = 4 + 4 + 4 + 4

and so forth... algebraically this is:

x^2 = {x + x + x ...} for x terms

differentiate

2x = {1 + 1 + 1 ...} for x terms, which = x

Thus

2x = 1x
2 = 1

 

One can make it more obscure by using more sophisticated mathematics:

2 = e^(ln 2) = [e^(ln 2)]^[(i*2*pi)/(i*2*pi)] = [e^(i*2*pi)]^[(ln 2)/(i*2*pi)] = 1^[(ln 2)/(i*2*pi)] = 1.

This uses the fact that e^bi = cos(b) + i*sin(b), and 1^x = 1.

 

[QUOTE]Originally posted by WestSideBilly
[B]A colleague gave me an interesting 1=2.

 

I was wondering when you would jump into this one

 

being in algebra 2 (oh yea : P) i see division all the time...but yea.....i thought he was listing a system....not a step by step problem..as i had no idea why one would spontaneoulsy decide to square numbers without reason..but i guess there was a reason and that was to make an incorrect problem so yea....

 

where were all of you guys when i needed your help for my calculus and physics!

 

You shouldn't need help for calculus and physics

 

I can't do calculus... hell, I can barely understand infinite theory calculations... but physics, for some odd reason, I am a natural at

 

step 3, a2 = ab, that means 2 = b

 

How can you do physics without calculus? The whole of modern physics is based on it.