If \( \sqrt{3}\left(\cos ^{2} x\right)=(\sqrt{3}-1) \cos x+1 \), th...

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If \( \sqrt{3}\left(\cos ^{2} x\right)=(\sqrt{3}-1) \cos x+1 \), the number of solutions
P of the given equation when \( x \in\left[0, \frac{\pi}{2}\right] \) is
(V)
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