This book starts with the issue of solving fifth order polynomials and higher and what happened after that.
Posted on 05/20/2025 4:37:41 PM PDT by SunkenCiv
A University of New South Wales (UNSW) Sydney mathematician has revealed the first successful solution of an 'impossible' equation once considered unsolvable.
Described as algebra's oldest problem, previous efforts to solve 'higher order' polynomial equations have consistently failed, leaving mathematicians without a critical tool. The new method solves that problem, potentially changing mathematics forever.
"Our solution reopens a previously closed book in mathematics history," said UNSW Honorary Professor Norman Wildberger, who led the research...
According to a statement from the University announcing the solution to algebra's oldest impossible equation, polynomials are represented by an established equation. For example, the degree two polynomial would be written as 1+ 4x – 3x2 = 0, where the variable "x" is raised to the second degree. However, the statement notes that whenever the variable is raised to five or higher, solving the equation has "historically proven elusive."
While solutions for two-degree polynomials have existed since the ancient Babylonians discovered them in 1800 BCE, the equation and its limits were not discovered until 1832 by French mathematician Évariste Galois. According to the release, Galois determined that the impossible equation was the limit and that "no general formula could solve them."
...Fortunately for the mathematics community... his work, including the new solution to an impossible equation, taps into special extensions of polynomials known as the "power series," which can have an infinite number of terms for the variable x without using radicals.
(Excerpt) Read more at thedebrief.org ...
Thanks Nateman!
“..Liberalism squared = jack asses...”
Yep. Common Core proves it....LOL
New!
Douglas Adams is a genius.
Exactly I thought the impossibly was to have an a formula like we do with the degree two polynomials and the quadratic equation. I think there is a formula for degree 3 and 4 but galios proved you couldn’t do the degree 5 as per your explanation
https://youtu.be/15Grfs2c9xg?si=Od-QBeV-cKjxgapR
Is q different than x?
or did you make up your answer?
5x+5x=10x
Interesting quote. The scablands of Washington State had been a geologic conundrum for some time. It wasn't until recently that a reasonable theory (solution?) became mainstream.
It was huge flooding caused by the repeated sudden failure of an ice dam to the east during the last glacial period.
Some geologist guy figured out that the channels and other features must have been caused by a huge flood. His views became popular among younger folks. But there was still a huge argument with the old timers. Especially with no known source for all of the water that would have been required.
Some U.S. Geological Survey big shot came up with his theory of the ancient Lake Missoula, but waited many years until he was just about to retire (or had retired?) to present his data and research on the cause. He didn't want to get laughed at and have his career ended prior to that.
Of course now it is taken as fact. But it was quite radical to come up with a catastrophic event that went against the long held belief that most all of geologic formations happened over long periods of time.
I tried to bring that up but it wouldn’t work.
Whew! I will sleep sounder tonight knowing that issue has been put to bed.
-PJ
This book starts with the issue of solving fifth order polynomials and higher and what happened after that.
Is q different than x?
or did you make up your answer?
= = =
I am using ‘new math’.
Also, “q” is a special character, like from the LGBGT family.
5q + 5q = 2.5 gal
Thank you.
I thought Common Core math solved this problem while Obammy was pres.
So the “q’s” are now declaring as female?
To interpret this article we need someone who actually understands this stuff.
Is there a mathematician in the house!
Galois worked on some problem the night before the duel. Probably didn’t help his odds of surviving the duel.
Wasn’t smart enough to avoid the duel.
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