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

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

If z and w are two non-zero complex numbers such that z=-w.

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

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

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

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

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