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Old 06-19-2007   #24 (permalink)
bns
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Join Date: May 2007
Location: Indiana, USA
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Default Re: Math Problem Game

Quote:
Originally Posted by Jesus View Post
-1 and 3

Whats wrong:

i = (-1)^{1/2} = ((-1)^{3})^{1/2} = (-1)^{3/2} = ((-1)^{1/2})^{3} = (i)^{3} = -i
\Rightarrow 1 = -1
Well, with this one you're using a function that isn't well-defined. i=(-1)^{1/2} is not true in general.
Quote:
Whats wrong:

x^2 - x^2 = x^2 - x^2
x(x - x) = (x - x)(x + x)
x = (x + x)
x = 2x
\Rightarrow 1 = 2

The classic divide by 0. (x-x)=0, therefore dividing by it is not a valid operation.
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