how to find the integer solutions of the following equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x^3 + x^{2}y + xy^2 + y^3 = 8(x^2 + xy + y^2 + 1)[/tex]

after simplifying, i got,

[tex](x^2 + y^2)(x + y - 8) = 8(xy + 1)[/tex]

from this, i can see that x and y are both odd or both even. but what should i do next. i tried putting x = 2p and y = 2q but that's not going anywhere.

thanks in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

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!

# Another equation

**Physics Forums | Science Articles, Homework Help, Discussion**