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Thread: Where lies the flaw in the logic?

  1. #1
    Contributing Member
    Join Date
    Sep 2006
    Answers
    962

    Where lies the flaw in the logic?

    A Proof That 2 = 0:

    1. X = 2 let x=2
    2. X*X = 2X multiply by x on both sides
    3. X*X - 4 = 2X - 4 subtract 4 from both sides
    4. (X+2)(X-2) = 2(X-2) factorise
    5. X+2 = 2 divide by (x-2) on both sides
    6. X = 0 subtract 2 from both sides


    Therefore x=2 and x=0 at the same time! Where lies the flaw in the logic?


  2. #2
    Expert Member
    Join Date
    Jun 2006
    Answers
    410

    Re: Where lies the flaw in the logic?

    The problem is with the fourth step.

    (X+2)(X-2) = 2(X-2)
    because values of x-2 is zero. you can't facotrise zero in an equation

    Even though, 4 * 0 = 2 *0 =0 it does not meen that 4=2


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