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Articles: Science | Is 2=3? | |
| a.a - a.a = a.a - a.a
(a+a)(a-a) = a(a-a)
(a+a) = a {cancelling (a-a) on both sides }
2a = a
2 = 1{ cancelling a on both sides}
2+1 = 1+1 {adding 1 on both sides}
3 = 2
this is simppler than yours!!!!!!!!!!! but this cantradiction is due to cancellation of (a-a) in the third step.becauss in equation or inequation division or multiplication by 0 is not possible !!!!!!!!!!
Posted by: Nazeer At: 19, May 2006 2:00:55 PM IST Hi,
There is one more anomoly, i first came across this when I was in inter, our math prof showed us while doing integrals and differentials.
proving 1=2
it goes like this.
1 = 1
2 + 2 = 2 power 2 = 2^2 = 4
3 + 3 + 3 = 3 power 2 = 3^2 = 9
.
.
.
n + n + n + n ... n times = n power 2 = n^2 = n square
n is not equal to 0
now taking differential on both sides by n we get
1 + 1 + 1 + 1.... n times = 2*n
1+1 = 2
1+1+1 = 3
1+1 n times = n
n = 2*n
divide by n
1 = 2
There is a fundamental flaw in all these, but u still prove 1 = 2.
Can anyone find out the flaw?
medhaduki metha.
selavu.
Posted by: Mr. subbarao bellamkonda At: 2, Feb 2005 5:22:22 AM IST boss ..
there is nothing amazing here ...
when, (a)(a) = (b)(b)
then, a = b (or) a = -b, according to mathematics, only one of them is true, NOT both. To exemplify, lets take a to be "2", and b to be "-2";
(2)(2) = (-2)(-2); Now, do u mean to say, 2 = -2 ???,
it is the other thing, 2 = -(-2).
incase of doubts, people can refer to 7th standard mathematics(algebra) text book.
Posted by: Mr. Ravi S Mantha At: 1, Oct 2002 6:33:59 PM IST s,really amazing.expecting this type of amazing mathematical puzzles too..........in future.
Posted by: Mrs. Sree At: 21, Sep 2002 3:47:14 PM IST
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