The equation $x^2-4 x+[x]+3=x[x]$, where $[x]$ denotes the greatest integer function, has:

  • [JEE MAIN 2023]
  • A

    exactly two solutions in $(-\infty, \infty)$

  • B

    no solution

  • C

    a unique solution in $(-\infty, 1)$

  • D

    a unique solution in $(-\infty, \infty)$

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