This article provides a simple proof of the quadratic formula, which also produces an efficient and natural method for solving general quadratic equations. The derivation is computationally light and conceptually natural, and has the potential to demystify quadratic equations for students worldwide.
Linked by 8 identifiable commenters in 8 comments across 6 threads, from Dec 2019 to May 2026. Found in 6 HN submissions from Oct 2019 to Sep 2022. Open submission discussions.
I understand your point that you want a fixed presentation layout and pagination. I prefer to be able to responsively resize the document and to follow the ToC instead of pages. I've yet to see documentation that's thousands of pages long that doesn't include a very detailed…
If you are already using LaTeXML, it is also easy to get the ar5iv rendering (example article: https://ar5iv.labs.arxiv.org/html/1910.06709) You can either copy the CSS asset from: https://github.com/dginev/ar5iv-css and add "--css=ar5iv.css --nodefaultresources" to the command…
By the way, if you don't like reading bulky proprietary PDFs, there is a trick: substitute the x in arxiv.org by the digit 5, and you will see the paper rendered in HTML5, e.g.: https://ar5iv.labs.arxiv.org/html/1910.06709 (great work by FAU Erlangen's Michael Kohlhase and team).
I don't think this is new at all. This looks like just a standard proof of the quadratic formula. I believe most people probably have seen a variation of this in high school. Depending on your preferences, this might be a slightly better or worse presentation than what you have…
If this is indeed not new, one should be able to find a published source anywhere in the world's literature from before 2019 that does it this way, correct? The author mentions in his blog post / paper that he has looked for this exact method in many sources and not found it…
I understand your point that you want a fixed presentation layout and pagination. I prefer to be able to responsively resize the document and to follow the ToC instead of pages. I've yet to see documentation that's thousands of pages long that doesn't include a very detailed…
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