Solving Quadratics using gradients at the roots


Exploiting Polynomial ‘Perfect Cube’ architecture to build your own function — without the usual approach of specifying all 3 roots


Photo by Louis Hansel @shotsoflouis on Unsplash


Rotating cubic roots into managed quadratic segments where the math is easier!


An intuitive way to find the 2nd and 3rd roots


Photo by Honey Yanibel Minaya Cruz on Unsplash

Using Square Roots - with ‘Division by Vision’ to find Quartic Roots


Photo by Susan Kuriakose on Unsplash

A very simple Cubic polynomial root approximation using architectural symmetry and similar triangles


Photo by Martin Sanchez on Unsplash

Applying Similar Triangles to approximate roots aided by ‘natural’ Cubic architecture

Similar Triangles


Melbourne Shot Tower Photo by Alex Knight on Unsplash

Using twin function proximal nodes for application of Newton’s Approximation to find roots


Courtesy Icepoint Unsplash

Exploiting architectural symmetry of Quartic Polynomials to calculate roots using Twin Function Nodes created by SOSO

Greg Oliver

I’m passionate about maths and making it simpler to enjoy. Retired Engineer currently writing maths book at a high school level.

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