PAMO 2005 Problem 4

Let $[ {x} ]$ be the greatest integer less than or equal to $x$ , and let $\{x\}=x-[x]$ . Solve the equation: $[x] \cdot \{x\} = 2005x$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.