Question 48
Real nonzero numbers $x$, $y$, $z$ are such that $x + y + z = 0$. Moreover, it is known that
$$
A = \frac{x}{y} + \frac{y}{z} + \frac{z}{x} = \frac{x}{z} + \frac{z}{y} + \frac{y}{x} + 1.
$$
Determine $A$.
$$
A = \frac{x}{y} + \frac{y}{z} + \frac{z}{x} = \frac{x}{z} + \frac{z}{y} + \frac{y}{x} + 1.
$$
Determine $A$.