Quadratic, Cubic, Quartic Formula

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There is the quadratic formula, but what about a cubic or quartic formula? Do they exist? What about a quintic or higher formula? It turns out there is no general 5th order (or higher) polynomial root formula.
  1. Matthew O'Brien
  2. Math
  3. Education
  4. Quadratic Formula
  5. Cubic Formula
  6. Quadric Formula
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Комментарии
Автор

I like how both your video and Mathologer's video, which deals with a similar subject matter, both reference being able to recite the quadratic formula if you were woken up in the middle of the night.

cooleslaw
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Hello, is it possible to deduce a formula of a sequence with a fourth difference using the quartic equation? (for example: 1, 2, 4, 8, 16, 31, 57. fourth difference is 1)

okaydiya
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Can you give an example of a real life application of a cubic, quartic, and/or quintic equation? Like your example of photons on the surface of a sphere, how in computer games they use a quadratic equation to simulate that. I'd also like to hear more about that actually!

atlast