Abstract
We look at methods for solving the Diophantine equation ax2+bxy+cy2+dx+ey+f=0 for which Δ=b2−4ac>0 and Δ is not a square. The methods we use transform this equation to one of the form AX2+BXY+CY2=N. We give upper limits on the number of solutions to the latter equation that need to be reviewed to determine all solutions to the original equation. These upper limits are substantially smaller than those generally given in the literature. We also discuss ways to compactly represent all solutions to the original equation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
