I need some help with the following problem:

(a)Prove that the equation does not have solutions in integers.

(b)If (1/3, 4/3) and (9/4, 5/4) are two rational solutions of this equation, find a solution to this equation in and another one in .

I have not encountered this type of problems before, so I'm unsure how to get started on either parts. Any help to get me started on them is greatly appreciated.