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

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

A

`(-2,-1)`

B

`(-infty,-2)cup(2,infty)`

C

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

D

`(1,2)`

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