# Difference between revisions of "AoPS Wiki:Problem of the Day/June 4, 2011"

${x}$ is defined by the smallest positive decimal such that when subtracted from $x$, you get an integer, and $0<\{x\}<1$

Find $x$ such that $10*\{x\}^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}$