I have a non-SAGE question and am hoping someone can point me to a source that discusses the solution. I am trying to find a rational solution for x and y to the equation:
Ax^2 + Bxy + Cy^2 + Dx + Ey + F =0 (1) where the coefficients are rational. This can be transformed to: xprm^2 - d*yprm^2 + N = 0 (2) There are alot of websites that talk about finding integer solutions to these equations with integer coefficients. I do not think an integer solution always exists when the coefficients of (2) are rational but I do think a rational solution always does exist and I am perfectly happy with a rational solution. Any guidance would be appreciated. Thank you. David --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~----------~----~----~----~------~----~------~--~---
