Archive for August 24th, 2008
Algebraic demonstrations that 1=2
5 Comments Published August 24th, 2008 in Life, universe and everythingLet a=b, with a≠0 a=b a2=ab a2+a2=a2+ab 2a2-2ab=a2+ab-2ab 2a2-2ab=a2-ab 2(a2-ab)=1(a2-ab) 2=1 ...or... a=b ab=bb -ab=-bb a2-ab=a2-b2 a(a-b)=(a+b)(a-b) a=a+b a=a+a 1=2 Another nice one, with numers instead of letters 16=16 Reflexive property of "=" 4+12=16 From definition of "+" 4-12=16-24 Subtract 24 from both sides 4-12+9=16-24+9 Add 9 to both sides, completing squares (2-3)2=(4-3)2 Factor, rewriting [...]
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