JEE-Mains 2014 (3/30)

Algebra Level 3

If \(a \in \mathbb{R}\) and the equation

\[-3\big(x-\lfloor x \rfloor\big)^2+2\big(x-\lfloor x \rfloor\big)+a^2=0\]

has no integral solution, then all possible values of \(a\) lie in the interval \(\text{__________}.\)

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