[" If equation "],[(Z-1)^(n)=Z^(n)=1(AA n in N)" has "],[" solutions,then "n" can be "]

In equation (Z - 1)^(n) = Z^(n) = 1 (AA n in N) has solution, then n can be

The roots of the equation z^(n)=(z+3)^(n)

If z_(1),z_(2),z_(3),…,z_(n-1) are the roots of the equation z^(n-1)+z^(n-2)+z^(n-3)+…+z+1=0 , where n in N, n gt 2 and omega is the cube root of unity, then

If z_(1),z_(2),z_(3),…,z_(n-1) are the roots of the equation z^(n-1)+z^(n-2)+z^(n-3)+…+z+1=0 , where n in N, n gt 2 and omega is the cube root of unity, then

{ n (n+1) (2n+1) : n in Z} sub

If the equation |z(z+1)^(8)=z^(8)|z+1| where z in C and z(z+1)!=0 has distinct roots z_(1),z_(2),z_(3),...,z_(n).( where n in N) then which of the following is/are true?

if (2z-n)/(2z+n)=2i-1,n in N in N and IM(z)=10, then

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

if (2z-n)/(2z+n)=2i-1,n in N in N and IM(z)=10 , then

Show that the roots of equation (1+z)^n=(1-z)^n are -i tan (rpi/n), r=0,1,2,,…………,(n-1) excluding the vlaue when n is even and r=n/2