Like for the first substitution from a general cubic equation to a depressed cubic, a substitution is made so that the inflection point of the cubic equation changes to the y axis, so that it represents a depressed cubic, similarly is there a graphical institution for Vieta's sub ($x=w-\frac{p}{3w}$ for $x^3 + px+q=0$)? One of the ways I know the sub was thought of was to just convert into a "perfect cube" but I think it's more algebra sided and would like a more visual approach.
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hi! I wanted a more "graphical" insight. – q123LsaB Sep 15 '22 at 15:19
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I praise graphical explanations in general but here it looks a purely algebraic reasoning/intuition. – Jean Marie Sep 15 '22 at 19:40
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I understand, thank you! – q123LsaB Sep 17 '22 at 06:40