" 1.If "1Z^(3)+Z^(2)-Z+i=0," then show that "|Z|=1

If iz^(3)+z^(2)-z+i=0 then show that |z|=1.

If iz^3+z^2-z+i = 0 , then show that |z|=1.

if iz^3+z^2-z+i=0 then show that absz=1

If (1+i)z=(1-i)phi z, then show that z=-iz

IF (1+i)z=(1-i)z, then show that z=-barz .

if z_(1),z_(2),z_(3),…..z_(n) are complex numbers such that |z_(1)|=|z_(2)| =….=|z_(n)| = |1/z_(1) +1/z_(2) + 1/z_(3) +….+1/z_(n)| =1 Then show that |z_(1) +z_(2) +z_(3) +……+z_(n)|=1

if z_(1),z_(2),z_(3),…..z_(n) are complex numbers such that |z_(1)|=|z_(2)| =….=|z_(n)| = |1/z_(1) +1/z_(2) + 1/z_(3) +….+1/z_(n)| =1 Then show that |z_(1) +z_(2) +z_(3) +……+z_(n)|=1

Show that if iz^(3)+z^(2)-z+i=0, then |z|=1

If z_(1)=-3+4i and z_(2)=12-5i, "show that", |z_(1)z_(2)|=|z_(1)||z_(2)|