Total number of solution for the equation `x^(2)-3[sin(x-(pi)/6)]=3` is _____(where [.] denotes the greatest integer function)

Answer

2

Explanation

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