Why it can't have 4 real roots ?!!

Algebra Level 3

(a1)(x2+x+1)2(a+1)(x4+x2+1)=0(a-1)(x^{2}+x+1)^{2}-(a+1)(x^{4}+x^{2}+1)=0

Provided that two roots of the above equation are real and distinct for aRA,a \in \mathbb{R}-A, find the set A.A.

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