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(⌈x+1⌉)2+(⌊x−1⌋)2=(⌈x−1⌉)2+(⌊x+1⌋)2\large \displaystyle (\lceil x + 1 \rceil)^2 + (\lfloor x -1 \rfloor)^2 = (\lceil x -1 \rceil)^2 + (\lfloor x + 1 \rfloor)^2 (⌈x+1⌉)2+(⌊x−1⌋)2=(⌈x−1⌉)2+(⌊x+1⌋)2
The solution set of the equation above is?
Notations:
R\mathbb{R} R denote the set of real numbers.
Z\mathbb{Z} Z denote the set of integers.
N\mathbb{N} N denote the set of natural numbers.
Q\mathbb{Q}Q denote the set of rational numbers.
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