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

{x} is defined by the smallest positive fraction such that when subtracted from x, you get an integer. $0<{x}<1$ Find x such that $10*{x}^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}$