Click here: to donate by Credit Card
Or here: to donate by PayPal
Or by mail to: Free Republic, LLC - PO Box 9771 - Fresno, CA 93794
Thank you very much and God bless you.
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 ...
Click here: to donate by Credit Card
Or here: to donate by PayPal
Or by mail to: Free Republic, LLC - PO Box 9771 - Fresno, CA 93794
Thank you very much and God bless you.
Does NVIDA agree?
Galois was a fascinating guy. Killed in a duel at age 20. He did amazing things and could have done even more amazing things.
So was the answer A or C?
D. All of the above.
L
Ah, thanks for posting that. Now I get it.......(not)
Liberalism squared = jack asses
Ah, thanks for posting that. Now I get it.......(not)
><
Now I know how close I was......NOT.
The answer was 42.
When the centuries-old equation was tested using the new method, Wildberger could extract “approximate numerical answers,” proving that it works.
++++++++++++
Is an approximation a solution?
But can it solve this, 5q + 5q = ?
Would like to see a paper that contains the actual calculations and its unique use of the power series before I judge this work...
It looks like the tangent teeter-totter at the left inflection point is going to tip into the Valley of Democrat Despair any second now.
Ironically, I met Polly Nomial in a remedial math class in college.
5q + 5q = 55 q^2
I wonder if there is a video with a decent math guy who demonstrates this?
No, no not this guy
https://nypost.com/2021/11/03/taiwanese-math-teacher-uses-pornhub-to-reach-more-students/
Max Planck, a Nobel laureate and physicist said "Science advances one funeral at a time" . New scientific truths often don't gain acceptance by convincing those who oppose them, but rather because the opponents die off and a new generation, more receptive to the new ideas, emerges.
One cannot find a solution of the general fifth degree polynomial equation using only radicals because the alternating group on five symbols is simple. How does this method get around that fact?
Disclaimer: Opinions posted on Free Republic are those of the individual posters and do not necessarily represent the opinion of Free Republic or its management. All materials posted herein are protected by copyright law and the exemption for fair use of copyrighted works.
