A SCRATCHPAD solution to problem #7

Publisher Website
Google Scholar
Abstract
The function F(x)= (1/2 - x)(1 - x 2 ) 1/2 + x(1 + (1 - (1/2 + x) 2 ) 1/2 ) has a maximum of y=0.674981 at x=0.3437715 (Figure 1). This y value was found [1] to be a root of an irreducible polynomial over the integers of degree 10. The object of problem #7 is to find this polynomial. In addition, we obtain these x and y values to high accuracy and verify that the above y is a global maximum over the domain of interest[2]: 0 < x < 1/2. The SCRATCHPAD conversation below involves the following 10 steps.

This publication has 2 references indexed in Scilit: