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| It's Paradoxical! | |
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| Topic Started: Dec 3 2006, 05:00 AM (1,314 Views) | |
| Edwardted | Dec 8 2006, 01:03 AM Post #31 |
Twin Prime Conjecture
  ![]](http://z5.ifrm.com/static/1/pip_r.png)
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its because you're wrong |
| You cannot win without losing. | |
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| KRK | Dec 8 2006, 01:58 AM Post #32 |
Poincaré Conjecture
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Andre, what is your response? |
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| Admin | Dec 8 2006, 02:49 AM Post #33 |
Administrator
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Wait a bit, I don't have the time to post the exact answer. Karthik....you're correct but not correct. I'll explain later. |
 
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| KRK | Dec 10 2006, 12:07 AM Post #34 |
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Poincaré Conjecture
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I'm still waiting for Andre to explain. |
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| theSKINzFAN | Dec 10 2006, 03:52 PM Post #35 |
Mathematician
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wait, i can't see the image |
| Life is something to do when you can't get to sleep. | |
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| Olivia | Dec 10 2006, 05:01 PM Post #36 |
 
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Me neither. It just says "user posted image". |
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| Edwardted | Dec 10 2006, 06:19 PM Post #37 |
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Twin Prime Conjecture
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It wasn't like that before....... |
| You cannot win without losing. | |
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| kimsin98 | Apr 30 2007, 02:57 AM Post #38 |
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Smarter than the Average Amoeba
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Is this right, Andre? Unless the problem states that x>0, we cannot say that these solutions to the "impossible" equation is valid. Why? Remember how Mr. Williams always says that x is like a box (it really is...). Squaring x=A (A is a real number) gives us: x^2=A^2 However, this oddly could be the square of both x=A and x=-A Because squaring works only one way, it can be called as an IRREVERSIBLE STEP. This is why you must always try to prove something from given facts to something we want--not from something we want to the givens. Solutions of x^2=A^2 are: A and -A However, only A can be the right solution. -A is just a piece of garbage (pronounced garbaaage) that results from an irreversible step. We call these garbage solutions EXTRANEOUS SOLUTIONS. Because you can always end up with extraneous solutions, it is always important to double-check all the solutions for garbage to sweep out. |
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Is math for smarty pants? Je m'appelle Andrew Kim. visit AOPS! I shall be telling this with a sigh Somewhere ages and ages hence: Two roads diverged in a wood, and I-- I took the one less traveled by, And that has made all the difference | |
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5:31 PM May 21