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Image: Quartic Discriminant

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Description: The w:Discriminant of the quartic polynomial x^4+a x^2+b x + c. The surface represents point (a,b,c) where the polynomial has a repeated root, the cuspidal edge correspond to polynomials with a triple root and the self intersection to the polynomials with two different repeated roots. This surface satisfies the equation -4 a^3 b^2 - 27 b^4 + 16 a^4 c -128 a^2 c^2 + 144 a b^2 c + 256 c^3 - 0. It was generated from the Singsurf program.
Title: Quartic Discriminant
Credit: Own work
Author: Salix alba
Usage Terms: Creative Commons Attribution-Share Alike 4.0
License: CC BY-SA 4.0
License Link: https://creativecommons.org/licenses/by-sa/4.0
Attribution Required?: Yes

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