Hi everyone. I have version 10.0.1 of Mathematica. I would like to solve a hyperbola equation of the form Axy+Dx+Ey+F=0 for {x,y} with integer solutions. I've tried it as a y=-(F+Dx)/(Ax+E). Any suggestions?
With your start, you might proceed as follows. Asymptotically you'll have y=D/A. Try to figure out how large x can be (based on values of {E,F}) before you are in this asymptotic range (because once "close enough", you won't get integer values for y).
y=D/A
x
{E,F}
y
The question is a little confusing. Are you trying to find x-y pairs for a range of values of x? Does the code
y[x_]:=-(f+d x)/(a x+e) Map[{#,y[#]}&,Range[20]]
do the trick?
