If Z be a complex number satisfying z4+z3+2z2+z+1=0  then |z|  is equal to

The given equation is z4+z3+2z2+z+1=0 ⇒z4+z3+z2+z2+z+1=0 ⇒ z2(z2+z+1)+(z2+z+1)=0  ⇒  (z2+z+1)(z2+1)=0 ⇒  (z2+z+1)=0  (or) (z2+1)=0 ∴z=i,−i,ω,ω2,for  each  |z|=1.