Find all the solutions of this equation ...

Find all the solutions of this equation
`x^(2)-3[ sin (x-pi/6)]=3`, where [.] represents the greatest integer function.

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The correct Answer is:

2

Given equation can be written as `x^(2)-3=3[sin(x-(pi)/6)]`
Hence, `x^(2)-3=-3,0,3`
`impliesx=0, x=sqrt(3)` is only solution

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