I spotted this gem this morning (in a book about Pierre de Fermat doncha know). I am sure it is old, but I don’t remember seeing it before
Let a = b.
Then
a² = ab (since a = b)
add a² − 2ab to both sides (because you can)
a² + a² − 2ab = ab + a² − 2ab
simplify
2a² − 2ab = a² − ab
factor out a 2 on the left hand side
2(a² − ab) = a² − ab
The (a² − ab) cancel out
leaving
2 = 1
hahahaha
6 comments:
tried a<sup>2&;lt/sup> ?
wow, blogger's input box is hosed. I mean a(sup)2(/sup) but with HTML style brackets instead of ( )
or to get the ² character.
hold down alt, and type 0178 on your num pad
But if a=b then 'a squared minus ab' is zero. So it's true:
2x0 = 1x0
Excellent stuff. I miss maths...
GEEK :]
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