# Not calculus this time

Algebra Level 5

$\large \lfloor 4x\rfloor +\lceil x\rceil =x^{2}+4$Find 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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