Question 59
Solve in $\mathbb{R}$ the equation:
$$
\frac{1}{\{x\}} + \frac{1}{[x]} + \frac{1}{x} = 0,
$$
where $[x]$ and $\{x\}$ denote the integer part and the fractional part of the real number $x$, respectively.
$$
\frac{1}{\{x\}} + \frac{1}{[x]} + \frac{1}{x} = 0,
$$
where $[x]$ and $\{x\}$ denote the integer part and the fractional part of the real number $x$, respectively.