Is it true that for every rational $q \geq 3$ , the following equation has a solution over $\mathbb N$ ?
$$q=\frac{x}{y} +\frac{y}{z} + \frac{z}{x}$$
Is it true that for every rational $q \geq 3$ , the following equation has a solution over $\mathbb N$ ?
$$q=\frac{x}{y} +\frac{y}{z} + \frac{z}{x}$$