Can I solve this : y^2 = x^2 +const1*x - const2 , natural nu

[Raftar]

Hi
I am searching how to solve this equation and find x and y which will be natural and positive
Can any one here tell me if it is a solved problem or not ?

y^2 = x^2 + const1*x - const2

const1 and const2 are also natural positive
and I know the range of x , so it is limited in a range of positive numbers

is this a solvable problem ?

thanks in advance.

[Baltuilhe]

Good afternoon!

Call [tex]z=y^2[/tex], and solve:
[tex]z=x^2+bx+c[/tex]

Then, return the found z (two, one or none) real solutions, and find y:
[tex]y=\pm\sqrt{z}[/tex]

Right?