How to solve x^4+x^3+x^2+x+1=0

This is just a basic math olympiad type of equation you should know how to solve. The quartic equation x^4+x^3+x^2+x+1=0 actually could be solved in two beautiful ways! 0:00 Let's do some math for fun 1st way: 0:50 2nd way: 6:20 A similar video, cube root of unity:    • all solutions to x^3=1   Check out more fun math competition problems:    • A circle tangents to a hyperbola! (Harvard...   ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 💪 Get my math notes by becoming a patron:   / blackpenredpen   #blackpenredpen #math #calculus #apcalculus