z is a complex number such that `z^(2)+z+1=0` .Then the value of `z^(30)` is

Z is a complex number such that z+(1)/(z)=2cos3^(0), then the value of z^(2000)+(1)/(z^(2000)) is equal to

If z is a complex number such that z+z^(-1)=1, then what is the value of z^(99)+z^(-99) ?

If z is a complex number such that |z|>=2 then the minimum value of |z+(1)/(2)| is

Let z be a complex number such that |z|=2 . Then the maximum value of |z+(1)/(z)| is

The complex number z satisfying z+|z|=1+zi then the value of |z|^(2) is

If z is a complex number such that |z+(1)/(z)|=1 show that Re(z)=0 when |z| is the maximum.

If z be the complex number such that |z+(1)/(z)|=2 then minimum value of (|z|)/(tan((pi)/(8))) is

If z is a complex number satisfying |z^(2)+1|=4|z| , then the minimum value of |z| is

If z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 then the set of possible values of z is