Is there a simple way to find the integer values of f(x)=(a+5x)/(6x+1) with a, x integers.
In fact, it's exactly the opposite I want. a is a given integer and I am looking for the value(s) of x that make f(x) take integer values. It's simple enough for small values of a but for large values, I cannot afford to check the values of x one by one.If you pick any integer for x, you can set
[tex]a = (6x + 1) n - 5x[/tex]
to get any integer n you like.
Is that what you meant by "finding the integer values"?