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

Latest revision as of 23:26, 3 June 2011

Find $x$ where $0<x<1$ such that $10x^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}$

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−	<math>{x}</math> ~~is defined by the smallest positive decimal such that when subtracted from <math>x</math>, you get an integer, and~~ <math>0<\{x\}<1~~</math>~~	+	Find <math>x</math> where <math>0<x<1</math> such that <math>10x^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}</math><noinclude>[[category:Problem of the Day]]</noinclude>
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−	~~Find <math>x~~</math> such that <math>~~10*\{x\}~~^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}</math><noinclude>[[category:Problem of the Day]]</noinclude>