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Deriving the Cubic Formula | Cubic Formula Proof
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In this video, I prove/derive the cubic formula from the original cubic equation. This is a full mathematical proof using Cardano's method of proving the cubic. This is similar to the quadratic equation, just more complex. The goal was to create a simple, quick, concise and full explanation of the proof. Vieta's Theorem and algebra were used.
0:00 - Introduction
0:24 - Depressing the Cubic
3:33 - Substituting for Y
6:11 - Equivalent Equations
8:31 - Algebra Method
12:34 - Vieta's Explanation
15:50 - Vieta's Theorem
20:00 - Combining the Roots
22:10 - Final Answer
0:00 - Introduction
0:24 - Depressing the Cubic
3:33 - Substituting for Y
6:11 - Equivalent Equations
8:31 - Algebra Method
12:34 - Vieta's Explanation
15:50 - Vieta's Theorem
20:00 - Combining the Roots
22:10 - Final Answer
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