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Consider the equation x^4 + 2ax^3 + x^2 ...

Consider the equation `x^4 + 2ax^3 + x^2 + 2ax + 1 = 0` where `a in R`. Also range of function `f(x)= x+1/x` is `(-oo,-2]uu[2,oo)` If equation has at least two distinct positive real roots then all possible values of a are

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