The Cubic Formula #SoMEpi

In this video, we'll explore how to solve third-degree polynomial equations using Cardano's method. We'll start with depressed cubic equations and learn how to transform any cubic equation into its depressed form. Then, we'll use the cubic formula to find a solution and finally, translate that solution back to the original equation, allowing us to solve any cubic equation.

Manim code: https://github.com/far1din/manim?tab=readme-ov-file#the-cubic-formula-wait-what

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----------- Content -----------
0:00 - Introduction
00:25 - Visualizing Depressed Cubic Equations
01:37 - Completing the Cube: Prelude to the Cubic Formula
02:47 - Deriving the Cubic Formula (Algebra)
05:18 - Converting a General Cubic Equation into a Depressed Form
07:02 - Solving Cubic Equations: The Entire Process
07:27 - A Simple Example


► Contributions
Intro background music: https://pixabay.com/music/pulses-intro-180695/
Background music by BlackByBeats: https://pixabay.com/music/solo-piano-ambient-piano-114-109400/

Pyramid Illustration by Storyset: https://www.freepik.com/free-vector/pyramid-concept-illustration_168303227.htm
Greek mythology Illustration by Freepik: https://www.freepik.com/free-vector/hand-drawn-greek-mythology-illustration_25793984.htm

Fibonacci sequence and other manim examples: https://slama.dev/manim/camera-and-graphs/


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