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| Find the error | |
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| Topic Started: Dec 5 2007, 07:21 PM (328 Views) | |
| Quaon | Dec 5 2007, 07:21 PM Post #1 |
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A Prince Amoung Men-Shoot First and Ask Questions Later
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I found this on wikipedia, and tried to find the error. Can you? I bet Paradise will, heh. Let a=b. Square both sides: a²=b² a²-b²=0 ... [1] (a+B ) (a-B )=0 ... [2] a²-b×b=0 a²-a×b=0 ... a=b, so substitute a instead of b. a(a-B )=0 ... [3] [2] and [3] are the same expressions: a(a-B )=(a+B )(a-B ) divide both sides by (a-B ): a=a+b a equals b: a=a+a divide both sides by a, 1=1+1 1=2 Therefore, 1+1=1+2=3 |
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| Tristan da Cunha | Dec 5 2007, 07:23 PM Post #2 |
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Science and Industry
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"Divide both sides by a-b": dividing by 0. |
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| Rhadamanthus | Dec 5 2007, 07:27 PM Post #3 |
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Legitimist
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Yeah, looks like TC got it. |
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| Union | Dec 6 2007, 08:58 AM Post #4 |
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Pyrenees Republic
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I coulda told ya, had I seen the post :P |
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| Paradise | Dec 6 2007, 09:14 AM Post #5 |
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Resident bureaucrat
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That's it. |
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| Rhadamanthus | Dec 6 2007, 12:12 PM Post #6 |
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Legitimist
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I don't think that's just an error; it is a sin. In fact, I believe that if you divide by zero, then demons drag you straight to hell when you die. |
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| Tristan da Cunha | Dec 6 2007, 12:18 PM Post #7 |
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Science and Industry
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Is an asymptote a direct portal to hell? |
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| Kasnyia | Dec 6 2007, 12:20 PM Post #8 |
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Chairman of the Bank
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Posted Image |
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| Rhadamanthus | Dec 6 2007, 12:21 PM Post #9 |
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Legitimist
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Yes, they are the modern version of the caves and caverns and gaping chasms that used to lead into hell in the days of old. |
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| Kasnyia | Dec 6 2007, 12:22 PM Post #10 |
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Chairman of the Bank
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Posted Image |
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| Rhadamanthus | Dec 6 2007, 12:24 PM Post #11 |
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Legitimist
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Awesome pics Kas. |
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| Kasnyia | Dec 6 2007, 12:26 PM Post #12 |
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Chairman of the Bank
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:D ^_^ |
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| Paradise | Dec 6 2007, 02:03 PM Post #13 |
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Resident bureaucrat
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lol, I believe it is :lol: |
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| Nag Ehgoeg | Dec 6 2007, 04:00 PM Post #14 |
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The Devil's Advocate
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That's slightly more impressive, but more confusing, than my simple 1=2 proof. Really, fooking obvious. |
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| New Harumf | Dec 6 2007, 05:56 PM Post #15 |
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Bloodthirsty Unicorn
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In the APL programming language, you can set a system variable to get one of three results: Option 1 - a/0 = Domain Error Option 2 - a/0 = 0 There is also the possibility of setting a system variable so that: Option 1 - 0/0 = Domain Error Option 2 - 0/0 = 1.32564e23 (largest number available on the system) Option 3 - 0/0 = 0 Option 4 (my personal favorite, and what I think should be the correct answer) 0/0 = 1 Now, arguement - why shouldn't 0/0 = 1?? |
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| Quaon | Dec 6 2007, 05:59 PM Post #16 |
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A Prince Amoung Men-Shoot First and Ask Questions Later
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0 can go into 0 an infinite number of times, thus saying that it is equal to one is wrong. |
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| New Harumf | Dec 6 2007, 06:08 PM Post #17 |
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Bloodthirsty Unicorn
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Law one of math : Any number divided by itself = 1 Law two of math : 0 divided by any number = infinity Law three of Math : You cannot divide a number by 0 Which law applies to 0/0?? |
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| Tristan da Cunha | Dec 6 2007, 06:09 PM Post #18 |
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Science and Industry
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0/0 = x, x can be any number and doesn't have to be one or infinity. 0/0 = x --> 0x = 0 x can be 0, 1, 5, infinity, anything. |
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| Paradise | Dec 6 2007, 06:36 PM Post #19 |
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Resident bureaucrat
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Huh, what? :huh: |
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| Rhadamanthus | Dec 6 2007, 07:07 PM Post #20 |
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Legitimist
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I believe I was taught that 0/0 is still dividing by zero and therefore illegitimate. |
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| Paradise | Dec 6 2007, 07:12 PM Post #21 |
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Resident bureaucrat
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Dividing by 0 makes absolutely no sense. |
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| Kasnyia | Dec 6 2007, 07:23 PM Post #22 |
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Chairman of the Bank
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0/0. Use L'Hopital. ^_^ |
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| Paradise | Dec 6 2007, 07:52 PM Post #23 |
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Resident bureaucrat
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That's for limits only. |
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| Kasnyia | Dec 6 2007, 08:01 PM Post #24 |
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Chairman of the Bank
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I know. Just saying. :lol: |
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| Tristan da Cunha | Dec 7 2007, 03:41 PM Post #25 |
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Science and Industry
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Are there more integers or more rational numbers? |
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9:10 AM Jul 11