JEE-Mains 2014 (3/30)

Algebra Level 3

If \(a \in \mathbb{R}\) and the equation \[-3(x-\lfloor x \rfloor)^2+2(x-\lfloor x \rfloor)+a^2=0\] has no integral solution, then all possible values of \(a\) lie in the interval:

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