(a-b) = 0, therefore you cannot divide both sides by it.

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I’ll see if I can remember/dig-up a few just for kicks ;)

Or other strange things that are not correct but appear to be correct i
just love them :)

Another example using complex numbers:

1 = sqrt(1) = sqrt(1\^2) = sqrt((-1)\^2) = sqrt(-1) * sqrt(-1) = i * i = i\^2 = -1

So, always be careful with complex numbers and roots in general, or sth
like that could happen \^\^.

Ah and please forgive me the misuse of the equal-sign \^\^.

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here’s an interesting proof. see if you can see where it breaks down:

the above was taken from Paul Bourke’s site