Case Study
Algebra
Level
4
\[\large \frac 1{\lfloor x\rfloor}+\frac 1{\lfloor 2x \rfloor}= \{x\}+\frac 13\]
Find the number of real solutions to the equation above.
Notations:
- \(\lfloor \cdot \rfloor\) denotes the floor function.
- \(\{ \cdot \}\) denotes the fractional part function.
by
Shivam Jadhav