The sum of the solutions of the equation is

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

The sum of the solutions of the equation

2[x]+x=6\{x\}

is, where

[y]

denotes the greatest integer less than or equal to

y

and

\{y\}

denotes the fractional part of

y

: (a)

0

(b)

\frac{5}{3}

(c)

\frac{3}{5}

(d)

\frac{8}{5}