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If 2sin 3 x + sin2xcosx + 4sinx – 4 = 0 has exactly 3 solutions in the interval ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ π 2 n , 0 , n ∈ N , then the roots of the equation x 2 + nx + (n – 3) = 0 belong to:

1. (– ∞ , 0)
2. Z
3. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − 2 17 , 2 17
4. (0, ∞ )

Correct answer: (– ∞ , 0)

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