# Height of the room

Level pending

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

$$a = floor(a) + b$$

×