If the root of the equation (a-1)(x^2-x+...

If the root of the equation `(a-1)(x^2-x+1)^2=(a+1)(x^4+x^2+1)` are real and distinct, then the value of `a in ` a.`(-oo,3]` b. `(-oo,-2)uu(2,oo)` c. `[-2,2]` d. `[-3,oo)`

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