Math Is Fun Forum

Ronald

Guest

Diophantine equation

Is this diophantine equation solvable,if solvable how do I solve it-

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Diophantine equation

Hi Ronald;

I do not believe there is any solution to that in integers.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

scientia

Member

Registered: 2009-11-13

Posts: 224

Re: Diophantine equation

Write

as

and treat it as a quadratic in

. The discriminant is

So the equation has no real solutions in x (let alone integer ones).