1. Norway
    Joined
    19 Dec '02
    Moves
    483
    17 Jun '03 00:33
    Given:
    a = b

    Multiply with a on both sides:
    a^2 = ab
    a^2 + (a^2 - 2ab) = ab + (a^2 - 2ab)
    2a^2 - 2ab = a^2 - ab
    2(a^2 - ab) = 1(a^2 - ab)
    2 = 1

    How is this possible? Anything wrong somewhere?
  2. Standard memberroyalchicken
    CHAOS GHOST!!!
    Elsewhere
    Joined
    29 Nov '02
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    17317
    17 Jun '03 00:38
    Since a=b, a^2=ab, so a^2-ab=0. Thus in the final step you divided by 0.
  3. Norway
    Joined
    19 Dec '02
    Moves
    483
    17 Jun '03 00:42
    I'm impressed of your quick problem-solving. 🙂

    I really like that problem. Still, I was hoping that at least _one_ person would answer wrong... *sob*

    😛
  4. Standard memberroyalchicken
    CHAOS GHOST!!!
    Elsewhere
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    17317
    17 Jun '03 00:441 edit
    Thanks. No problem then. WHen you post a problem, I'll give it at least half an hour before I post 😛.
  5. Norway
    Joined
    19 Dec '02
    Moves
    483
    17 Jun '03 00:54
    Hehehe. Don't worry about it. From now on, I'm only posting new problems when you are asleep. 🙂

    However, if you've got a problem, please feel free to make a new thread ... 😛

    *sits down, waiting for a new problem to pop up*
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