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⌊4x⌋+⌈x⌉=x2+4\large \lfloor 4x\rfloor +\lceil x\rceil =x^{2}+4⌊4x⌋+⌈x⌉=x2+4Find the sum of squares of the solutions to the above equation.
Notations: ⌊⋅⌋ \lfloor \cdot \rfloor ⌊⋅⌋ denotes the floor function and ⌈⋅⌉ \lceil \cdot \rceil ⌈⋅⌉ denotes the ceiling function.
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