Wednesday, November 09, 2005

2=3

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 ????????
Finally completed this scribble at

2 comments:

  1. RiteshThursday, 10 November, 2005

    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.

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  2. DineshFriday, 11 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?

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