Friday, July 4, 2008

Proof for 3=2

Source: http://www.ITPepper.com

"Proof for 3=2 à from Ramanujam's diary!"

Ramanujam's proof !! .... can u find any flaws??

Can U Prove 3=2??

This seems to be an anomaly or whatever u call in mathematics.

It seems, Ramanujam found it but never disclosed it during his life time and that it has been found from his diary.

See this illustration:

-6 = -6

9-15 = 4-10

adding 25/4 to both sides:

9-15+(25/4) = 4-10+(25/4 )

Changing the order

9+(25/4)-15 = 4+(25/4)-10

(this is just like : a square + b square - two a b = (a-b)square. )

Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.

So it can be expressed as follows:

(3-5/2)(3-5/ 2) = (2-5/2)(2-5/ 2)

Taking positive square root on both sides:

3 - 5/2 = 2 - 5/2

3 = 2

ANY FLAWS??????? ???????

To see interesting comments and solution click here..

1 comments:

Sriram said...

If a square equals b square, then it does not mean that a should be equal to b.

a could be equal to -b as well (since -b square is equal to b square as well)

So, in this particular case -

(3 - 5/2)square = (2 - 5/2) square

We cannot take square roots on both the sides and equate.

In fact, 3 - 5/2 = 5/2 - 2 would be the correct deduction.

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