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This is wierd

  1. Jun 21, 2006 #1
    On another forum, someone had this in a sig:

    If a=1 and b=1: then a squared - 1 = ab-b: then (a + 1)(a - 1) = b(a - 1):then a + 1 = b: thus 1 + 1 = 1: as a result 2 = 1

    I couldn't follow all of it, could someone explain this to me?
     
  2. jcsd
  3. Jun 21, 2006 #2
    In the step, (a+1)(a-1) = (b)(a-1), one "cancels" the a-1, which in this case in the same as cancelling zero on both sides. You can't cancel zero because, a.0 = b.0 doesn't necessarily mean that a = b.
     
  4. Jun 21, 2006 #3

    dav2008

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    Gold Member

    You couldn't follow the work or you don't understand why it works that way?

    Here's the work:

    a=b=1

    a*a-1=a*b-b [since a=b=1]
    (a+1)(a-1)=b(a-1) [factoring the right-hand side and factoring a b out of the left-hand side]
    a+1=b dividing both sides by a-1
    1+1=1
    2=1

    The problem is with the line I highlighted in red. You are dividing by a-1, but since a=1 you are actually dividing by zero, which is not defined.

    Here's a simpler one to make it easier to see:

    5*0=3*0
    5=3 ["divide both sides by 0"] - obviously 5 does not equal 3.
     
  5. Jun 21, 2006 #4
    Oh, ok so they're telling lies sorry I forgot about the division by 0, now I have to go tell them how wrong they are. Thanks.
     
  6. Jun 21, 2006 #5

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    There is a difference between a "lie" and a "joke".
     
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