You will laugh, once you see the solution

Algebra Level 3

Find the number of solutions of the equation :

\[8\lfloor x^2-x\rfloor +4\lfloor x\rfloor = 13 + 12\lfloor\sin x\rfloor\]

where \(\displaystyle \lfloor .\rfloor\) represents the Greatest Integer Function

Note: This problem appeared in our AITS (All India Test Series) -7

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