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 ????????
Can u find any flaws??
Regards
RK
"Known is a drop, unknown is an ocean"
4 comments:
That's nice...
Regards
RK
it dosent mean that if the squares of two numbers are same then the two numbers are same
coz the square of any number is always +ve
ie we know that (5)^2 = (-5)^2 but you cannot say that 5 = - 5 can u?
(3-5/2)(3-5/2) = (2-5/2) (2-5/2)
here u will find that 3-5/2 = -(2-5/2)
and not
3 - 5/2 = -2 + 5/2
You have written
Taking positive square root on both sides:
3 - 5/2 = 2 - 5/2
2 - 5/2 is not positive. The correct is:-
Taking positive square root on both sides:
|3 - 5/2| = |2 - 5/2| (here |a| stands for modulus of a)
Or, |1/2| = |-1/2|
Or, 1/2 = 1/2 (because |1/2| = 1/2 and |-1/2| = 1/2)
No anomaly.
Avinash
hey ,
thats correct , u can't take positive sqrt all the time...
but it was nice.
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