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

Revision as of 20:44, 3 June 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 $10*{x}^2+\frac{\lfloor x \rfloor}{\lceil x\rceil}=\frac{9}{10}$

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