Inspired by 'Floor Ceiling Ceiling Floor : JEE Style'
Algebra
Level
4
\[\large \displaystyle (\lceil x + 1 \rceil)^2 + (\lfloor x -1 \rfloor)^2 = (\lceil x -1 \rceil)^2 + (\lfloor x + 1 \rfloor)^2 \]
The solution set of the equation above is?
Notations:
\(\mathbb{R} \) denote the set of real numbers.
\(\mathbb{Z} \) denote the set of integers.
\(\mathbb{N} \) denote the set of natural numbers.
\(\mathbb{Q}\) denote the set of rational numbers.
Inspiration.
Try my set
by
Vishwak Srinivasan