Friday Funny: What’s wrong with this mathematical proof?


David Meego - Click for blog homepageToday’s Friday Funny is something to see if you can remember your high school algebra.

The following mathematical proof suggests that 2 = 1, which would definitely cause some issues with the accounting type people out there.

So the question is:

“What’s wrong with this mathematical proof?”

Here is the proof that 2 = 1:

  1. Let a and b be equal non-zero quantities
    a = b
  2. Multiply both sides by a
    a2 = ab
  3. Subtract b2 from both sides
    a2 – b2 = ab – b2
  4. Factor both sides
    (a – b)(a + b) = b(a – b)
  5. Divide out (ab)
    a + b = b
  6. Observing that a = b
    b + b = b
  7. Combine like terms on the left
    2b = b
  8. Divide by b
    2 = 1      QED

If you can explain what is wrong here, then you might help explain why:

  • odd <> even
  • black <> white
  • night <> day

Post your explanations in the comments.

Enjoy

David

This article was originally posted on http://www.winthropdc.com/blog.

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