'If m is chosen in the quadratic equation `(m^(2)+1)x^(2)-3x+(m^(2)+1)^(2)=0` such that the sum o

"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`"

`(m^(2)+1)x^(2)-3x+(m^(2)+1)^(2)=0`