Question 5
Let $E(x, y) = \frac{x}{y} + \frac{x+1}{y+1} + \frac{x+2}{y+2}$.
a) Solve in positive integers the equation $E(x, y) = 3$.
b) Prove that there exist infinitely many positive integers $n$ for which the equation $E(x, y) = n$ has solutions in positive integers.
a) Solve in positive integers the equation $E(x, y) = 3$.
b) Prove that there exist infinitely many positive integers $n$ for which the equation $E(x, y) = n$ has solutions in positive integers.