Find roots of the equation `(z + 1)^(5) = (z - 1)^(5)`.

If nin Ngt1, find the sum of real parts of the roots of the equation z^(n)=(z+1)^(n).

If nin Ngt1, find the sum of real parts of the roots of the equation z^(n)=(z+1)^(n).

Find all the roots of the equation : (3z -1)^4+(z-2)^4 =0 in the simplified form of a + ib.

If (1 – i) is a root of the equation , z^3 - 2 (2 - i) z^2 + (4 - 5 i) z - 1 + 3 i = 0 , then find the other two roots.

Find the number of roots of the equation z^(15) = 1 satisfying |arg z| lt pi//2 .

Find the number of roots of the equation z^(15) = 1 satisfying |arg z| lt pi//2 .

If z_(1),z_(2),z_(3) are any three roots of the equation z^(6)=(z+1)^(6), then arg((z_(1)-z_(3))/(z_(2)-z_(3))) can be equal to

Find the area of the triangle whose vertices represent the three roots of the complex equation z^4 = (z+1)^4 .