Question 16
The real solutions of $x^3-4\lfloor x\rfloor=5$ are denoted by $x_1,x_2,\ldots,x_k$ for some positive integer $k$. Find $\displaystyle\sum_{i=1}^{k}x_i^3$.
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.