1 = 2 的數學題 ??

bobtobt2002

2007-05-31 2:54 am

First, let X = Y
Then, X – Y = 0
Also, 2X – 2Y = 0
So, X – Y = 2X – 2Y
So, 1(X – Y) = 2(X –Y)
According to mathematical skill, (X –Y) can be cancelled in both sides
Thus, 1 = 2 ?? As everyone knows, 1 definitely cannot equal to 2 . Therefore, there is something wrong in the steps. Can someone tell me what is going on?

回答 (4)

[匿名]

2007-05-31 10:39 pm

in order to cancel the term x-y on both sides of the equation, you have to divide on both sides by x-y. However, since x-y =0, you cannot divide anything by 0 which is undefined. So the equation can not proceed further on 1(X-Y)=2(X-Y).

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