Question: If $m$ is chosen in the quadratic equation $\left(m^{2}+1\right)$ $x^{2}-3 x+\left(m^{2}+1\right)^{2}=0$ such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-
$8 \sqrt{3}$
$4 \sqrt{3}$
$10 \sqrt{5}$
$8 \sqrt{5}$
Correct Option: , 4
Solution:
