The common roots of the equation `z^3+2z^2+2z+1=0` and `z^(1985)+z^(100)+1=0` are: (A) `1,omega` (B) `1,omega^2` (C) `omega,omega^2` (D) none of these

The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0 are

Common roots of equations : z^(3)+2z^(2)+2z+1=0 and z^(1985)+z^(100)+1=0 are :

Sum of common roots of the equations z^(3) + 2z^(2) + 2z + 1 =0 and z^(1985) + z^(100) + 1=0 is

Sum of common roots of the equations z^(3) + 2z^(2) + 2z + 1 =0 and z^(1985) + z^(100) + 1=0 is

If z_1 + z_2 + z_3 = A, z_1 + z_(2)omega+ z_(3)omega^(2)= B, z_1 + z_(2) omega^(2) + z_(3) omega=C where 1, omega, omega^2 are the cube roots of unity, then