- #1
LagrangeEuler
- 717
- 20
Homework Statement
Prove that ##(1+u^2)^2+(1+u)^2>0##
where ##u=exp(\frac{2\pi i}{3})##
Homework Equations
The Attempt at a Solution
##u^4=u## so
##(1+u^2)^2+(1+u)^2=3u^2+3u+2>0##
is there any way from here to get ##(1+u^2)^2+(1+u)^2>0##?