I need to prove that the equation x^4 - y^4 = 2 z^2 has no positive integer solutions.(adsbygoogle = window.adsbygoogle || []).push({});

I have tried to present this equation in some known from (like x^2+y^2=z^2 with known solutions, or [tex]x^4 \pm y^4=z^2[/tex] that has no integer solutions) without success.

Any hints ?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Diophantine equation x^4 - y^4 = 2 z^2

Loading...

Similar Threads - Diophantine equation | Date |
---|---|

Modular Arithmetic and Diophantine Equations | Oct 25, 2012 |

Diophantine equation | Mar 14, 2012 |

Diophantine equations of the form x^3-dy^3=1 | Dec 5, 2011 |

Integer solution to exponential diophantine equation | Sep 28, 2011 |

Help with 3 proofs (integers/diophantine equations) | Dec 4, 2010 |

**Physics Forums - The Fusion of Science and Community**