Ma and Pa's Blog

Algebra Puzzle — how can this be?

given:

a=b

therefore:

a^2 = b^2

substituting:

a*b = b^2  — because a*b is same as a^2

new equation:

a^2 – b^2 = a^2 – a*b  — because a*b is same as b^2

factoring:

(a+b)*(a-b)=a*(a-b)

dividing by (a-b):

a+b=a

substituting:

a+a=a  — because a is same as b

or:

2*a=a

dividing by a:

2=1              ?????  !!!!!!

WHY?

2 Responses to “Algebra Puzzle — how can this be?”

  1. Pa Says:

    See here — if you’re ready to give up:

    http://en.wikipedia.org/wiki/Invalid_proof#Division_by_zero

  2. Marty Says:

    Owwww. Head hurts. Too long not use algebra. It ALL looks so wrong….

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Larry and Marty Steidl