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The number of solutions of the equation ...

The number of solutions of the equation `cos^(2) (x + (pi)/( 6)) + cos ^(2) x - 2 cos ( + (pi)/( 6)) co ""(pi)/( 6) = sin ^(2) (pi)/( 6)` in interval `((-pi)/( 2), (pi)/( 2))` is _____

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