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my little contribution to the latest esato maths craze!
proof that 2 equals 1
revision: remember that what you do to one side of the equals you must do to the other side to keep the equation the same
assume a = 1 and b = 1
so a = b
multiply both sides by a gives
a² = ab
now subtract b² from both sides gives
a² - b² = ab - b²
now factorise giving
(a+b)(a-b) = b(a-b)
divide both sides by (a-b) gives
(a+b) = b
we started by saying that a = b so
a + a = a
or
2a = a
diving both sides by a gives
2 = 1
QED!
edit: thanks for supplying the ². I have now changed the ^2 for that!
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...Unless I'm very much mistaken
my K700 review[ This Message was edited by: masseur on 2004-10-21 22:38 ]
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Posted: 2004-10-21 23:30:59
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²?
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Posted: 2004-10-21 23:32:43
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² haha
[edit] too late
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If at first you don't succeed,
look in the trash for the instructions.
[ This Message was edited by: Vlammetje on 2004-10-21 22:34 ]
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Posted: 2004-10-21 23:33:55
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When you factorise... you cannot multiply by zero (a-b) etc.. Let's have playtime!
This message was posted from a T68i
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Posted: 2004-10-21 23:36:22
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nearly right. there is no multiply by zero but there is a divide by zero and that is the flaw
and for my next trick I will go on to prove that black equals white and get run over at the next zebra crossing! (thats for HHGTTG fans)
_________________
...Unless I'm very much mistaken
my K700 review[ This Message was edited by: masseur on 2004-10-21 22:45 ]
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Posted: 2004-10-21 23:41:18
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my head hurts.
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Posted: 2004-10-21 23:49:00
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I see what you mean about the dividing by zero, but essentially you're dividing 0 by 0, which equals infinity. Just like dividing any (non-imaginary) number by 0.
Fun though.
Damn infinity, ruining everyone's fun, it's his fault Superman can't turn back time!
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[ This Message was edited by: maddav on 2004-10-21 23:58 ]
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Posted: 2004-10-22 00:58:11
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absinthe is right when it comes to why the equation is wrong.
but i thought this was worth a mention:
if you get an answer like 2=3 or 1=2, the equation is false, either making it unsolvable (like 3=0*y, solve for y) or (more likely) you did it incorrectly.
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Posted: 2004-10-22 01:03:00
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Yes.
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Posted: 2004-10-22 10:23:31
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