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Quantum Jim's Journal: My /. fortune is mistaken 4

Journal by Quantum Jim

My /. fortune was:

(1) X=Y ; Given
(2) X^2=XY ; Multiply both sides by X
(3) X^2-Y^2=XY-Y^2 ; Subtract Y^2 from both sides
(4) (X+Y)(X-Y)=Y(X-Y) ; Factor
(5) X+Y=Y ; Cancel out (X-Y) term
(6) 2Y=Y ; Substitute X for Y, by equation 1
(7) 2=1 ; Divide both sides by Y
-- "Omni", proof that 2 equals 1

However, you can only cancel out the (X-Y) if X != Y because if they are equal then the expression is zero! Indeed, the rest of the steps can be left, so you end up with:

2(x-y) = (x-y)
0 = 0

Friends don't let friends divide by zero!

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My /. fortune is mistaken

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  • long time no see... how's the BJJ going?
    • Hey, BJJ is going good. I got promoted to blue, won a few tournaments, and am half way to purple I think. How's the krav maga going along? I have been pretty busy and haven't been around for a while. Hopefully I have some more free time now...
      • by tuxette (731067) *
        Sounds great! Krav Maga is going fine, except I have this finger injury that is really cramping my style :-( I hope it's better in time for grading in June...
        • Good luck with your grading. I always buddy-tape injured fingers and toes. Even when not training, the buddy tape helps it heal faster.

The meat is rotten, but the booze is holding out. Computer translation of "The spirit is willing, but the flesh is weak."