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-   -   How can 1=2 | 27 Oct 2009 (http://www.go4expert.com/contests/how-can-12-27-oct-2009-t19903/)

shabbir 27Oct2009 18:28

How can 1=2 | 27 Oct 2009
 
If we have a = b then
a^2 = ab
a^2 b^2 = ab b^2
(a + b) (a b) = b (a b)
a + b = b
2b = b as a=b
2 = 1

Which Law of Maths is violated if any ?

rstruble 27Oct2009 19:15

Re: How can 1=2 | 27 Oct 2009
 
at (a+b)(a-b)=b(a-b), when you got result a+b=b you divided by zero. if a=b, then a-b=0.

-RStruble

Mridula 27Oct2009 19:19

Re: How can 1=2 | 27 Oct 2009
 
Is it commutative law?
as if a = b then b=a right?

SaswatPadhi 27Oct2009 20:13

Re: How can 1=2 | 27 Oct 2009
 
Quote:

Originally Posted by rstruble (Post 59449)
at (a+b)(a-b)=b(a-b), when you got result a+b=b you divided by zero. if a=b, then a-b=0.

-RStruble

Right ! :)

rstruble 27Oct2009 20:26

Re: How can 1=2 | 27 Oct 2009
 
Sweet!!! I win! xD

SaswatPadhi 27Oct2009 20:27

Re: How can 1=2 | 27 Oct 2009
 
Congratz ... :happy:

rstruble 27Oct2009 20:31

Re: How can 1=2 | 27 Oct 2009
 
My Alg II teacher taught me the same basic thing in 11th grade:

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

same thing, different variables

SaswatPadhi 27Oct2009 20:53

Re: How can 1=2 | 27 Oct 2009
 
For one more such fallacy, using Complex Numbers ;), see http://www.math.toronto.edu/mathnet/...econd1eq2.html.

shabbir 28Oct2009 13:32

Re: How can 1=2 | 27 Oct 2009
 
Yes you win :D


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