# Floor function

• Jun 23rd 2009, 12:19 PM
pankaj
Floor function
Solve for $x$:

$\lfloor x\rfloor+\lfloor 5x\rfloor+\lfloor 10x\rfloor+\lfloor 20x\rfloor=36k+35$

where $'k'$ is an integer and $\lfloor x\rfloor$ denotes the floor function.
• Jun 23rd 2009, 11:03 PM
CaptainBlack
Quote:

Originally Posted by pankaj
Solve for $x$:

$[x]+[5x]+[10x]+[20x]=36k+35$

where $'k'$ is an integer and $[x]$ denotes the floor function.

The standard notation for the floor function can be achived in LaTeX by \lfloor \rfloor as so: $\lfloor \ \rfloor$

Start by writing $x=n+\varepsilon$ where $n=\lfloor x\rfloor$ and $1>\varepsilon\ge 0$.

CB