Examples: A Different Way to Solve Quadratic Equations
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 Published On Dec 11, 2019

If you'd like to continue learning in this style, Prof. Loh runs a systematic course series which focuses on teaching people how to invent their own mathematical techniques (https://live.poshenloh.com/), as well as regular streams on this YouTube channel.

Want to understand how to solve any quadratic equation, without just memorizing the quadratic formula? In this lesson full of worked examples, Daily Challenge founder, Carnegie Mellon University professor, and U.S. International Math Olympiad coach Po-Shen Loh introduces a simple, different method for solving quadratic equations. Instead of guess-and-check, this method uses students’ existing experience searching for a pair of numbers with a given sum and product to solve quadratics.

This video explains all of the details behind Prof. Loh's initial quadratic method video (youtube.com/playlist?list=PLqv4sKOD1b..., including different examples of how to use the method to solve more and more general quadratic equations.

Prof. Loh came to discover this method because he has been systematically thinking about how to explain school math concepts in more thoughtful and interesting ways, while creating lessons for our Daily Challenge (https://live.poshenloh.com/).

Thanks to the Templeton World Charity Foundation for their support of this work.

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UNIQUE APPLICATIONS OF THE METHOD
Looking for a specific kind of problem that this method can solve? Check out the timestamps below:

21:24 Coefficients with different signs
25:03 If the coefficient of x is odd
27:28 If x² has a coefficient other than 1
30:41 Deriving a Quadratic Formula
33:14 Deriving the commonly learned Quadratic Formula

HISTORICAL PARTS OF THE SOLUTION
38:18 Viète’s Relations
39:00 Babylonian Mathematics

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ABOUT DAILY CHALLENGE
The Daily Challenge with Po-Shen Loh is a series of online math courses designed to teach people how to invent, taught by an actual inventor. The novel teaching style continually presents students with problems that they barely don't know how to solve, and guides them to invent their own solution methods through hints. It covers a wide range of ability levels, starting from basics which only require Pre-Algebra, and reaching up to university-level topics such as Number Theory. Instead of simply teaching the standard curriculum earlier, it goes deeper, providing additional challenges outside of the classroom. The course series also provides an efficient way to systematically cover math competition topics. To learn more about Daily Challenge with Po-Shen Loh, visit https://daily.poshenloh.com.

ABOUT EXPII
Expii is a free math and science education platform that embraces what makes us all individuals: our voices, experiences, and cultures. We encourage choice and experimentation by giving students the power to choose how they learn. Through creative, fun, practical, and personal lessons each person can have their own aha moment.

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