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NeGaTiVe Clan Member
Posts : 64 Join date : 2009-11-28 Age : 31 Location : Middle of Nowhere, Mississippi
| Subject: one random topic :P Sun Dec 06, 2009 8:21 am | |
| Every time i see FoG's name.. i always want to pronounce it like " F of G " only because i will have taken every math course offered at my school when i take calculus next semester.. damn i hate math. | |
| | | AvP*FoG Clan Member
Posts : 117 Join date : 2009-10-25 Age : 33
| Subject: Re: one random topic :P Sun Dec 06, 2009 8:32 am | |
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| | | Omega Clan Member
Posts : 70 Join date : 2009-10-31 Age : 34 Location : New York
| Subject: Re: one random topic :P Sun Dec 06, 2009 8:34 am | |
| Statement: If a and b are perfect squares, then a + b - 2 √ab is a perfect square. Proof Let a and b be arbitrarily chosen perfect squares. We will show, using a direct proof, that a + b - 2 √ab is a perfect square. By the definition of perfect squares, we know that a = k2 and b = j2 for some k,j Z Then k2 + j2 - 2√k2j2 k2 + j2-2kj (k-j)(k-j) (k-j)2 Note that (k-j)2 Is an integer by closure under multiplication. Since our equation can be simplified as an integer squared, it must be a perfect
Real math right there...
~mega | |
| | | Rav3n Site Admin
Posts : 112 Join date : 2009-09-13 Age : 32 Location : Reeds Spring, MO
| | | | NeGaTiVe Clan Member
Posts : 64 Join date : 2009-11-28 Age : 31 Location : Middle of Nowhere, Mississippi
| Subject: Re: one random topic :P Sun Dec 06, 2009 8:46 am | |
| - Omega wrote:
- Statement: If a and b are perfect squares, then a + b - 2 √ab is a perfect square.
Proof Let a and b be arbitrarily chosen perfect squares. We will show, using a direct proof, that a + b - 2 √ab is a perfect square. By the definition of perfect squares, we know that a = k2 and b = j2 for some k,j Z Then k2 + j2 - 2√k2j2 k2 + j2-2kj (k-j)(k-j) (k-j)2 Note that (k-j)2 Is an integer by closure under multiplication. Since our equation can be simplified as an integer squared, it must be a perfect
Real math right there...
~mega nerd :-P jk we had to memorize all the trig identities...all 12 of em i think. | |
| | | *AVP*SEAN Clan Member
Posts : 20 Join date : 2009-11-20
| Subject: Re: one random topic :P Sun Dec 06, 2009 11:33 am | |
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| | | Omega Clan Member
Posts : 70 Join date : 2009-10-31 Age : 34 Location : New York
| Subject: Re: one random topic :P Sun Dec 06, 2009 2:38 pm | |
| That is how the math you used is based. I hate this class in college... it makes me want to cry sometimes.
~mega | |
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