Find the number of values of complex numbers `omega` satisfying the system of equations `z^(3)==(overlineomega)^(7)` and `z^(5).omega^(11)=1`

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0

The complex number z satisfying the equation |z-i|=|z+1|=1

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

Number of values of z (real or complex) simultaneously satisfying the system of equations 1+z+z^(2)+z^(3)++z^(17)=0 and 1+z+z^(2)+z^(3)++z^(13)=0 is

The number of complex number z satisfying the equations |z|-4=|z-i|-|z+5i|=0 is

The number of values of z (real or complex) e simultaneously satisfying the system of equations 1+z+z^2+z^3+...z^17=0 and 1+z+z^2+z^3+..+z^13=0 is

Find the greatest and the least values of the modulus of complex number z satisfying the equation |z-(4)/(z)|=2

Number of complex numbers satisfying equation z^(3)=bar(z)&arg(z+1)=(pi)/(4) simultaneously is