Solving An INSANELY Hard Viral Math Problem

This seemingly simple viral problem is a lot harder than it looks--it is actually a problem from a university level mathematics textbook! In order to solve the problem, we take a journey through symmetry and group theory which leads to a simple formula for solving these kinds of equations.

Thanks to all patrons! Special thanks this month to: Kyle, Michael Anvari, Richard Ohnemus, Shrihari Puranik.

0:00 Problem
1:44 Numerical solution
2:37 Symmetric polynomials
4:15 Power sum polynomials
5:03 Elementary symmetric polynomials
5:46 Deriving Girard-Newton identities
8:14 Girard-Newton identities
9:28 Solution

References/alternate methods listed in my blog post
https://wp.me/p6aMk-8z8/#sources

Multiply by lines and introduction to group theory
I discovered a new way to multiply nu...

Subscribe: https://www.youtube.com/user/MindYour...

Send me suggestions by email (address in video). I consider all ideas though can't always reply!

Like many YouTubers I use popular software to prepare my videos. You can search for animation software tutorials on YouTube to learn how to make videos. Be prepared--animation is time consuming and software can be expensive!

Why are there comments before the video is published? Get early access and support the channel on Patreon
Patreon: mindyourdecisions

If you buy from the links below I may receive a commission for sales. (As an Amazon Associate I earn from qualifying purchases.) This has no effect on the price for you.

Show your support! Get a mug, a t-shirt, and more at Teespring, the official site for Mind Your Decisions merchandise:
https://teespring.com/stores/mind-you...

My Books (worldwide links)
https://mindyourdecisions.com/blog/my...

My Books (US links)
Mind Your Decisions: Five Book Compilation
https://amzn.to/2pbJ4wR
A collection of 5 books:
"The Joy of Game Theory" rated 4.1/5 stars on 45 reviews
http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 3.5/5 stars on 4 reviews
http://amzn.to/1o3FaAg
"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.1/5 stars on 14 reviews
http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" rated 4.7/5 stars on 8 reviews
http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" rated 4.3/5 stars on 6 reviews
http://amzn.to/XRm7M4

Mind Your Puzzles: Collection Of Volumes 1 To 3
https://amzn.to/2mMdrJr
A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 13 reviews
http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" rated 4.5/5 stars on 6 reviews
http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" rated 4.1/5 stars on 7 reviews
http://amzn.to/1NKbGlp

Connect with me
My Blog: https://mindyourdecisions.com/blog/
Twitter: Twitter: preshtalwalkar
Newsletter (sent only for big news, like a new book release): http://eepurl.com/KvS0r

2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.

• #science_technology
• #mathematics
• #math
• #maths
• #riddle
• #brain_teaser
• #puzzle
• #math_puzzle