This Theorem Mogs the Quadratic Formula @WrathofMath

Uploaded February 2026 | Updated September 2026, 2 weeks ago

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You might think the quadratic formula mogs Vieta's formulas. But today we'll take a deep dive into defending the average Vieta's formulas fan, and see that they might be even more elegant and dominant than the average quadratic formula enjoyer. We'll prove Vieta for quadratics, solve an AMC10A problem from 2003, and discuss elementary symmetric polynomials. #mathmemes #mathematics

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SOURCES
reddit.com/r/mathmemes/comments/1pzamba/discriminant_on_top
https://davidaltizio.web.illinois.edu/Vietas%20Formulas.pdf
Funkhouser, H. Gray. “A Short Account of the History of Symmetric Functions of Roots of Equations.” The American Mathematical Monthly, vol. 37, no. 7, 1930, pp. 357–65.

0:00 Intro
0:56 Quadratics and D
4:47 Vieta's Formulas
6:11 Proof
8:57 Finding the Vertex
10:42 Competition Problem
12:14 The Vieta Approximation
15:31 Beginnings
17:24 Symmetric Polynomials
19:56 Conclusion

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$the math teacher can’t figure it out This seemingly simple geometry problem got a lot of traffic recently on r/askmath, as many tried to solve it, got it wrong, and got stuck. The OP’s wife, a math teacher, was unable to solve it - and this time that’s not because the teacher is incompetent but the problem is simply much harder than it looks. We’ll solve this variation of Langley’s Adventitious Angles using some clever geometric constructions and basic properties of triangles. #geometryproblems #mathchallenge Join Wrath of Math to get exclusive videos, lecture notes, and more: https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join Check out the coolest math clothes in the world: https://mathshion.com/ More Math Chats: https://www.youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO Outro music: https://youtube.com/shorts/tfifiSdTZRg Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu SOURCES https://www.reddit.com/r/askmath/comments/1lq21qv/my_wife_math_teacher_cannot_figure_this_out https://www.reddit.com/r/askmath/comments/1lqy3vj/comment/n18lc4a/?context=3 https://mathwithbaddrawings.com/2015/06/10/trick-or-technique/ Tripp, Colin. “Adventitious Angles.” The Mathematical Gazette, vol. 59, no. 408, 1975, pp. 98–106. JSTOR, https://doi.org/10.2307/3616644. https://www.duckware.com/tech/worldshardesteasygeometryproblem.html Adventitious angles problem: the lonely fractional derived angle by Yong Kong and Shaowei Zhang MUSIC Special World 8 (Crown) - Super Mario 3D Land Athletic BGM (Super Mario World 2 - Yoshis Island) - Mario Kart World Musee Champignon Aquatic Ambience Torigoth - Night Ordon Village Dire Dire Docks Mario 64 End Theme 0:00 Intro 1:09 Hogwash Montage 3:19 Whats the Deal? 5:33 Adventitious 7:25 Solution 19:10 Conclusion$

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