Numerical Analysis
Deriving the Quadratic Equation From the Roots Up
Solving Quadratics using gradients at the roots
Greg Oliver
Numerical Analysis
Sextic Polynomials — A Practical Approach
At a young age a builder taught me how to mark out a right angle using the 3,4,5 triangle rule with a tape measure. That math practicality has stuck with me and recently I have been working to decipher it into its ‘LEGO block’ constituents to increase intuitive
Numerical Analysis
The Simplest Cubic Root
A very simple Cubic polynomial root approximation using architectural symmetry and similar triangles
Geometry
Cubic Polynomials - Using Similar Triangles to Approximate Roots
Applying Similar Triangles to approximate roots aided by ‘natural’ Cubic architecture
Mathematics
Cubic Polynomials — Managing the Architecture to Calculate Roots
Rotating cubic roots into managed quadratic segments where the math is easier!
Numerical Analysis
Cubic Polynomials - Rotation to Calculate Roots
Exploiting the amazing symmetry of cubic polynomials to quickly find the first root using Newton’s method.