Another view on the quadratic formula. Full playlist: Home page: Brought to you by you: Beautiful pictorial summary by @ThuyNganVu: Po Shen Loh on quadratics: Welch Labs on imaginary numbers: Mistakes (there will always be mistakes): At minute 22, I write "b' / 2" instead of "-b' / 2". Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld ------------------ 0:00 - Introduction 2:56 - "How often am I going to use this?" + ray tracing example 5:38 - Mental math tricks (factoring numbers, differences of squares) 13:36 - Properties of quadratic functions 18:40 - Deriving the variant quadratic formula 23:07 - Practice problems (ft. complex numbers!) 34:10 - Deriving the traditional quadratic formula from the variant 41:07 - Conclusion (key takeaways) 43:21 - Fun with joke poll questions ------------------ Music by Vincent Rubinetti. Download the music on Bandcamp: Stream the music on Spotify: If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: Various social media stuffs: Website: Twitter: Reddit: Instagram: Patreon: Facebook: