If `c^(2) ne ab` and the roots of `(c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac)=0` are equal, then show that `a^(3)+b^(3)+c^(3)=3abc" or "a=0`

Answer

i.e., `a=0" or "a^(3)+b^(3)+c^(3)=3abc`