this is really funny. Recently I found a trick how to solve a polynomial equation with exponents three or higher. Right now it works only for zeros that are real, but with some effort, one might be able to find solutions for such polynomials with complex solutions too.
Okay, let's start consider the following polynominal:
Let's have a look at the term, that do not contain any
. It can be decomposed into two forms:
If you check for yourself, only the term:
leads to the desired result. As I said this works for any polynominal equation with real zeros.
Try it out, have fun.
Merry christmas and all the best for the new year.
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