Let f(x) = [x]^2 + [x+1] - 3, where [.] ...

Let `f(x) = [x]^2 + [x+1] - 3`, where `[.]` denotes the greatest integer function. Then (1) `f(x)!=0` for all real values of `x` (2) `f(x)=0` for only two real value of `x` (3) `f(x)=0` for infinite values of `x` (4) `f(x)=0` for no real value of `x`

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