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"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..
Friday, July 4, 2008
Proof for 3=2
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1 comments:
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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