# Height of the room

Given that:

\(d ≠ 0\)

\(x = floor(x) + k\)

\(k = n/d\)

\(d((\sqrt{7n} - \sqrt{21d/4})(\sqrt{7n} + \sqrt{21d/4}) + x) - n\) \(= floor(floor(x) + k) \times d\)

What is the value of \(ceil(x) - floor(x)\)?

Bonus: Show in your answer the relationship between ceil(a) and floor(a) if

\(a = floor(a) + b\)