If m is chosen in the quadratic equation...

If m is chosen in the quadratic equation `(m^(2)+1)x^(2)-3x+(m^(2)+1)^(2)=0` such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is (A) `10sqrt5` (B) `8sqrt5` (C) `8sqrt3` (D) `4sqrt3`

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