AoPS Wiki:Problem of the Day/June 4, 2011

< AoPS Wiki:Problem of the Day
Revision as of 20:54, 3 June 2011 by Btilm305 (talk | contribs) (Protected "AoPSWiki:Problem of the Day/June 4, 2011": Problem of the day ([edit=sysop] (indefinite) [move=sysop] (indefinite)))

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