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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If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)

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