JEE-Mains 2014 (3/30)

Algebra Level 3

If aRa \in \mathbb{R} and the equation

3(xx)2+2(xx)+a2=0-3\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 aa lie in the interval __________.\text{\_\_\_\_\_\_\_\_\_\_}.

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