The Coordinate Plane Resolution and Adjustment for Roots Determination

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.