Monthly Archives: July 2022

Let $x$ and $a$ are real numbers, and $a$ is a constant with $a>=0$, and $x^2=a(x-\lfloor x \rfloor)$. Find the number of solutions for $x$, in terms of $a$. Click here for the solution. Solution: Let $y=x-\lfloor x \rfloor$ and … Continue reading →