Advanced Search

Question: Diophantine equation

Question:Diophantine equation

Alfred_F 390 Maple 2024
diophantine_equation number-theory
6 hours ago
1

...but it's easily solvable with the help of a trick. My main concern is the path to the solution for the attached Diophantine equation. I was able to solve the problem both with pen and paper and then in Maple. There's certainly a more elegant way. I'm particularly interested in a special Maple command. However, I don't want to ask for it here yet, as it would give a hint of the trick and spoil the fun of solving the puzzle.

restart

 

> 

419*x^2+116*x*y-426*x*z+78*y^2-142*y*z+133*z^2-1604*x-682*y+1086*z+2306 = 0

NULL

Download Diophant.mw
Please Wait...