Problem: Given that zzz is a complex number such that z+1z=2cos3∘z+\frac 1z=2\cos 3^\circz+z1=2cos3∘, find the least integer that is greater than z2000+1z2000z^{2000}+\frac 1{z^{2000}}z2000+z20001.
Solution:
The problems on this page are the property of the MAA's American Mathematics Competitions