Question 24
How many positive integers $n$ satisfy $$
\dfrac{n+1000}{70} = \lfloor \sqrt{n} \rfloor?
$$
(Recall that $\lfloor x\rfloor$ is the greatest integer not exceeding $x.$)
\dfrac{n+1000}{70} = \lfloor \sqrt{n} \rfloor?
$$
(Recall that $\lfloor x\rfloor$ is the greatest integer not exceeding $x.$)