A general solution to the cubic equation was long considered impossible, until we gave up the requirement that math reflect reality. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.Thanks to Dr Amir Alexander, Dr Alexander Kontorovich, Dr Chris Ferrie, and Dr Adam Becker for the helpful advice and feedback on the earlier versions of the script. References:Some great videos about the cubic:500 years of not teaching the cubic formula. --    • 500 years of NOT teaching THE CUBIC FORMUL...  Imaginary Numbers are Real --    • Imaginary Numbers Are Real [Part 1: Introd...  Dunham, W. (1990). Journey throug

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The arrival of non-human intelligence is a very big deal, says former Google CEO and chairman Eric Schmidt. In a wide-ranging interview with technologist Bilawal Sidhu, Schmidt makes the case that AI is wildly underhyped, as near-constant breakthroughs give rise to systems capable of doing even the most complex tasks on their own. He explores the staggering opportunities, sobering challenges and urgent risks of AI, showing why everyone will need to engage with this technology in order to remain relevant. (Recorded at TED2025 on April 11, 2025)If you love watching TED Talks like this one, become a TED Member to support our mission of spreading ideas: https://ted.com/membershipFollow TED! X:  

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