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

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− | + | {x} is defined by the smallest positive fraction such that when subtracted from x, you get an integer. <math>0<{x}<1</math> | |

+ | Find x such that <math>10*{x}^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}</math> | ||

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<noinclude>[[category:Problem of the Day]]</noinclude> | <noinclude>[[category:Problem of the Day]]</noinclude> |

## Revision as of 21:44, 3 June 2011

{x} is defined by the smallest positive fraction such that when subtracted from x, you get an integer. Find x such that