If `nin Ngt1,` find the sum of real parts of the roots of the equation `z^(n)=(z+1)^(n).`

The solution of the equation |z|-z=1+2i is

Find the sum to n terms of the series in whose n^(th) terms is given by n(n+1)(n+4)

If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1) , the value of f(omega^(n)) (where 'omega' is the non-real root of the equation z^(3)=1 and 'n' is a multiple of 3), is ……….. .

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

Find the sum to n terms of the series in whose n^(th) terms is given by (2n-1)^2

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

If the equation a_(n)x^(n)+a_(n-1)x^(n-1)+..+a_(1)x=0, a_(1)!=0, n ge2 , has a positive root x=alpha then the equation na_(n)x^(n-1)+(n-1)a_(n-1)x^(n-2)+….+a_(1)=0 has a positive root which is

If z_(1),z_(2),z_(3) andz_(4) are the roots of the equation z^(4)=1, the value of sum_(i=1)^(4)(z_i)^(3) is

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

If |z+1|=z+2(1+i) then find the value of z.