The Worst Way to Solve Quadratic Equations

Video Description

Try everything Brilliant has to offer by visiting https://brilliant.org/wrathofmath and you'll also get 20% off an annual premium subscription! In school we learn all about quadratic equations and their parabolic graphs. Importantly we learn how to 'solve' them by factoring, graphing, completing the square and using the quadratic formula. But there's one method they never taught you that involves and UNTOLD number of fractions. Today we discover this secret! #brilliant #algebra #mathtricks 🛍 Check out my math fashion brand! https://mathshion.com/ ❤️ Join Wrath of Math to get exclusive videos, lecture notes, and more: https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join More Math Chats: https://www.youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO Business Inquiries: [email protected] Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu SOURCES Continued Fractions by C. D. Olds Continued Fractions: Notes for a short course at the Ithaca High School Senior Math Seminar by Gautam Gopal Krishnan Continued Fractions and Pell's Equation by Seung Hyun Yang https://www.allresearchjournal.com/archives/2020/vol6issue1/PartD/6-10-428-385.pdf 0:00 Intro 1:46 Bombelli's Approximation 3:44 Constructing the Beast 7:51 Solving x^2=2 10:57 The Ultimate Weapon 14:45 Potential Disasters 19:29 Rate of Convergence 21:49 Conclusion