[" Illustration "3.49" Find complex number satisfying the "],[" system of equations "z^(3)+bar(omega)^(7)=0" and "z^(5)omega^(11)=1" ."]

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

Find the complex number satisfying the system of equations z^3+ omega^7=0a n dz^5omega^(11)=1.

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

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

If the complex number z and omega satisfies z^(3)+omega^(-7)=0 and z^(5)*omega^(11)=1 then

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

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

Number of complex numbers satisfying z^(3)=bar(z) is