2=3
Wednesday, November 09, 2005
I can prove 2=3
Anyone can suggest what's wrong with following proof?
-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 ????????
2 people thought of commenting on this:
Ritesh
said...
Thursday, 10 November, 2005
There atleast the mods of both values are same..
In our case, even this condition is not following..
Also, we've considered only positive roots of both the sides.. So, -2=2 won't be possible in our example..
Anything to say?
Dinesh
said...
Friday, 11 November, 2005
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Dude, in that case even -2 and 2 are equal... because you can say
4=4,
-2 square = 2 square,
take square root,
-2 = 2 !
Hehe.... you forgot to consider that square root also gives a +- sign.