A Method to Solve the Diophantine Equation $ax^2-by^2+c=0$

Details A Method to Solve the Diophantine Equation $ax^2-by^2+c=0$ A Method to Solve the Diophantine Equation $ax^2-by^2+c=0$

2006-09-24

arxiv.org/abs/math/0609671v1

Gaceta Matematica, 2a Serie, Vol. 1, No. 2, 1988, pp. 151-157; translated into Spanish by Francisco Bellot Rosado, "Un metodo

Mathematics

General Mathematics

10 pages

Scientific paper

It is a generalization of Pell's equation $x^2-Dy^2=0$. Here, we show that: if our Diophantine equation has a particular integer solution and $ab$ is not a perfect square, then the equation has an infinite number of solutions; in this case we find a close expression for $(x_n,y_n)$, the general positive integer solution, by an original method. More, we generalize it for any Diophantine equation of second degree and with two unknowns $f(x,y)=0$.

Affiliated with

Also associated with

No associations

Rating

A Method to Solve the Diophantine Equation $ax^2-by^2+c=0$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Method to Solve the Diophantine Equation $ax^2-by^2+c=0$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Method to Solve the Diophantine Equation $ax^2-by^2+c=0$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651550