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Page History: Proof that 2=1

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Page Revision: 2008/11/03 13:43


Let
a = b

Then
a2 = b2
a2 - b2 = 0
(a - b)(a + b) = 0 (Equation 1)

Also
2a2 = a2 + a2
= a2 + b2

and
2a2 = 2ab

so

a2 + b2 = 2ab
a2 - 2ab + b2 = 0
(a-b)(a-b) = 0 (Equation 2)

Combining Equations 1 and 2

(a - b)(a + b) = (a - b)(a - b)
a + b = a - b
a + a = a - a
2a = 0a
2 = 0

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