Why You Can't Solve Every Equation (and Why That's Awesome)

Описание к видео Why You Can't Solve Every Equation (and Why That's Awesome)

Solving polynomial equations by radicals impossible (and also, mostly useless!). However, some amusing math arises from this problem. Check out this quick intro, and subscribe for future videos on this topic

00:00:00 Polynomial equations.
00:00:13 Some examples
00:00:46 Tell me your reaction to this part (comment below!)
00:01:57 The search for a general formula
00:02:50 Why impossibility is not a failure?
00:03:32 Why we cannot solve quintics?
00:04:48 The invariant behind quintics
00:05:43 Where do we go from here?

This video was inspired by The Academy of Useless Ideas study group on Galois theory. Would you like to learn more? Join or discord server for more info!

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