**The Coordinate Plane Resolution and Adjustment for Roots Determination.**

##### Author(s)

Derrick. Donkor , Mensah Sarah-Lynn , Rebecca Nduba Arhin ,

**Download Full PDF** Pages: 01-20 |
Views: 1059 |
Downloads: 239 | DOI: 10.5281/zenodo.3445751

##### Abstract

*This study is a geometric root determination method for quadratic equations which contain a theoretical proof of the quadratic formula and gives an illustrative evidence of Euclid’s fifth postulate.**The core notion is that a quadratic function whose roots are to be found given as F(x), have a correspondent perfect square whose first two terms when conventionally made equal to that of **F(x) **will form a resultant function with a geometric property that each term as a component function, from the least to the greatest power of x, can reconstruct a frame for the formation of the next component function until the zeroes are achieved, then the function **F(x)** is manipulated likewise with each term on this geometric representation formed by the correspondent perfect square to give the roots.**This paper offers the privilege to work separately with the terms of a quadratic equation to locate the roots.*

##### Keywords

*Perfect Square, Component Functions, Roots, Quadratic Formula, Parallel Postulate*

##### References

*Backhouse, J.K. Houldsworth, S.P.T. Pure Mathematics 1. Oxford University Press.1985.pp.193-197.retrieved from: http//www.pdfsdocument.com.**Wikipedia (2007).Illustration of the parallel postulate. Retrieved from: en.wikipedia.org/wiki/parallel-postulate.**Matthew, S.Eric, W.ParallelPostulate.Mathworld.Retrieved from: http://mathworld.wolfram.com/parallelpostulate.html.**Eric, W. QuadraticEquation.Mathworld.Retrieved from:http://mathworld.http://mathworld.wolfram.com/Quadratic Equation.html.**Lewis, F.P. (1920).History of the parallel postulate. Mathematical Association of America, 16, 16-23.*