# Grown pentagram

Algebra Level 3

If $$z_1 , z_2 , z_3 , z_4$$ are the roots of the equation $$z^4 + z^3 + z^2 + z^1 + 1 = 0$$, then what the least value of $$\left \lfloor\ \left | z_1 + z_2 \right | \ \right \rfloor$$?

×