Question

Let x, y, and z be nonzero real numbers. Find all possible values of
\frac{x}{x} + \frac{y}{y} + \frac{z}{z} + \frac{xyz}{xyz}

Answer 1

\frac{x}{x} + \frac{y}{y} + \frac{z}{z} + \frac{xyz}{xyz} = 1 + 1 + 1 + 1 = 4

Therefore, the possible value of the expression is 4.