Recent content by ms2718

  1. M

    Proving that a^2-2b^2-4c^2 = 0 has no positive integer solutions

    thanks for the help, i have tried this approach, and the come to the point where I have the following expressions for k,m,l: k^3 = (1/4)b^3 + (1/2)c^3 m^3 = (1/16)a^3 - (1/4)c^3 l^3 = (1/32)a^3 - (1/16)b^3 and i plug these into the original equation and the a terms do not cancel out...
  2. M

    Proving that a^2-2b^2-4c^2 = 0 has no positive integer solutions

    so I have to prove that a^3-2b^3-4c^3 = 0 has no positive integer solutions. I have gotten through most of the proof but now I am stuck, and if you guys could give me a nudge in the right direction that would be great. work done so far: proof by contradiction, i assumed that...
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