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

(fixed symbols)
 
(3 intermediate revisions by the same user not shown)
Line 1: Line 1:
{x} is defined by the smallest positive decimal such that when subtracted from x, 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>
 
 
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>
 

Latest revision as of 23:26, 3 June 2011

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