Question 51
Solve in the set of real numbers the equation
$$
\left[ x + \frac{1}{x} \right] = \left[ x^2 + \frac{1}{x^2} \right],
$$
where $[a]$ represents the integer part of the real number $a$.
$$
\left[ x + \frac{1}{x} \right] = \left[ x^2 + \frac{1}{x^2} \right],
$$
where $[a]$ represents the integer part of the real number $a$.