Number of roots of the equation `z^10-z^5 -992=0` with negative real part is

The number of real roots of the equation z^(3)+iz-1=0 is

The number of real roots of the equation z^(3)+iz-1=0 is

The number of roots of the equation z^(6)=-64 whose real parts are non-negative,

The number of roots of the equation z^(6)=-64 whose real parts are non-negative,

For a complex number z, the product of the real parts of the roots of the equation z^(2)-z=5-5i is (where, i=sqrt(-1) )

For a complex number z, the product of the real parts of the roots of the equation z^(2)-z=5-5i is (where, i=sqrt(-1) )

If one root of the equation z^2-a z+a-1= 0 is (1+i), where a is a complex number then find the root.