Quote:
Originally Posted by Jesus -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.