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#1 Re: Help Me ! » Proof that equation can't be solved » 2006-03-01 19:30:51

Thanks, Diophantine Equations helped me, cause they led me to Fermat's Theorem(Generalized Equation: x^n+y^n=c*z^n)

x³+y³=4(x²y+xy²+1)  |*2
2x³+2y³= (x²y+xy²+1)*8[or: 2^3]
Therefore no integer-solutions are possible.

#2 Help Me ! » Proof that equation can't be solved » 2006-02-27 06:58:41

mling
Replies: 11

Hi,
can anyone give me a hint how to prove that the following equation can not be solved with integers for x and y?
x³+y³=4(x²y+xy²+1)

thanks

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