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You are not logged in. #3 20060228 10:24:32
Re: Proof that equation can't be solveddiophantine equations has something about integer answers. igloo myrtilles fourmis #5 20060302 18:30:51
Re: Proof that equation can't be solvedThanks, Diophantine Equations helped me, cause they led me to Fermat's Theorem(Generalized Equation: x^n+y^n=c*z^n) Last edited by mling (20060302 18:31:08) #6 20060303 01:21:37
Re: Proof that equation can't be solvedHere's my proof: Let x=p+y, p is an integer. When we substitute in A and simplify, we get the equation: This is very pretty. We'll take two cases: 1.p is even: Then (p+2y) is even. 4p^2. 1.1.y is even Then 23y and 2p+y => 43y(p+y) => 4p^23y(p+y) =>(p^23y(p+y))=+ or  4. therefore we get that (p+2y) must be + or 1, but (p+2y) is even so y isn't even. 1.2. y is odd Then 4 don't divides (p+2y) so p+2y is + or 2 and (p^23y(p+y))=+ of  2. But 2 doesn't divide 3y and 2 doesn't divide p+y so 2 doesn't divide 3y(p+y) so 2 doesn't divide p^23y(p+y) so p^23y(p+y) is odd but it must be +2 so y is not odd. 2.p is odd: p^2 is odd. p+2y is odd too. That means that p+2y=+1 and p^23y(y+p) must be +4 2.1. y is even: then 3y is even and 3y(y+p) is even so p^23y(y+p) is odd which can't be +4. 2.2. y is odd: p is odd too so p+y is even so 3y(p+y) is even again and p^23y(p+y) is odd. And it just can't be +4. The proof is done. IPBLE: Increasing Performance By Lowering Expectations. #7 20060303 05:47:39
Re: Proof that equation can't be solvedkrassi, It appears you've been learning a lot of new stuff lately. igloo myrtilles fourmis #8 20060303 08:04:16
Re: Proof that equation can't be solved means divides. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #9 20060303 08:08:03
Re: Proof that equation can't be solvedso x  y means y mod x = 0 , Thanks. igloo myrtilles fourmis #10 20060303 14:06:32
Re: Proof that equation can't be solvedyes, but the normal way to write that is: "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #11 20060303 21:17:29
Re: Proof that equation can't be solvedNo. The normal way is with 3 lines: IPBLE: Increasing Performance By Lowering Expectations. #12 20060303 21:19:24
Re: Proof that equation can't be solvedMy proof makes me think that the Fetmat's generalized equation is true. IPBLE: Increasing Performance By Lowering Expectations. 