Solve the equation `z^3= z (z!=0)dot`

Solve the equation z^(3) + 27 = 0

Solve the equation z^(2)+27=0

Solve the equation z^3 + 8i = 0 , where z in CC .

Solve the equation |z|=z+1+2idot

Number of solutions of the equation z^3+[3(barz)^2]/|z|=0 where z is a complex number is

Consider the equation z^(2)-2z+4=0 . (i) Find two complex numbers z_(1)" and "z_(2) satisfying the above equation. (ii) Simplify (z_1)/(z_2)+(z_2)/(z_1) .

If z and w are two complex numbers simultaneously satisfying te equations, z^3+w^5=0 and z^2 +overlinew^4 = 1, then

Let z_(1)" and "z_(2) be two roots of the equation z^(2)+az+b=0 , z being complex number further, assume that the origin, z_(1)" and "z_(2) form an equilateral triangle, then