Page History: Proof that 2=1

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Page Revision: 2009/12/29 13:25

Let
	Let a	=	b
Multiply both sides by a
	a2	=	ab
Add a2 to both sides
	a2 + a2	=	a2 + ab
Collect like terms on both sides
	2a2	=	a2 + ab
Subtract 2ab from both sides
	2a2 - 2ab	=	a2 + ab - 2ab
		=	a2 + b2
and
	2a2	=	2ab
so
	a2 + b2	=	2ab
	a2 - 2ab + b2	=	0
	(a-b)(a-b)	=	0	(Equation 2)
Combine Equations 1 and 2
	(a - b)(a + b)	=	(a - b)(a - b)
	a + b	=	a - b
	a + a	=	a - a
	2a	=	0a
	2	=	0