If a in R and the equation -3(x-[x])^2+2...

If `a in R` and the equation `-3(x-[x])^2+2(x-[x])+a^2=0` (where [x] denotes the greatest integer `le x`) has no integral solution, then all possible values of a lie in the interval: (1) (-2,-1) (2) `(oo,-2) uu (2,oo)` (3) `(-1,0) uu (0,1)` (4) (1,2)

(-2,-1)

`(-oo, -2) cup (2,oo)`

`(-1,0) cup (0,1)`

`(1,2)`

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