How to solve a 5-term 4th degree polynomial equation x4+x3+x2+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: Check out more fun math competition problems: ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: 💪 Get my math notes by becoming a patron: #blackpenredpen #math #calculus #apcalculus