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

  • 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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