The number of values of z (real or compl...

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

Similar Questions

Explore conceptually related problems

Solve the system of equation Re(z^(2))=0,|z|=2 .

The system of equations |z+1-i|=sqrt2 and |z| = 3 has

Find the value of z satisfying the euqation |z|-z=1+2i .

locus of the point z satisfying the equation |z-1|+|z-i|=2 is

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

If z is a complex number satisfying the relation ∣z+1∣=z+2(1+i) then z is

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

If z is a complex number in the argand plane, the equation |z-2|+|z+2|=8 represents

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)/(|z|^(3)) , then what is the value of |z|^(4) ?