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The equation x 2 – 4 x + [ x ] + 3 = x [ x ], where [ x ] denotes the greatest integer function, has

1. Exactly two solutions in ( –  ,  )
2. No solutio n
3. A unique solution in ( –  , 1)
4. A unique solution in ( –  ,  )

Correct answer: A unique solution in ( –  ,  )

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