By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degree were obtained by determining the abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

The thesis shows the characteristics of certain equation of higher degree, points out the relationship between this equation and linear ordered series of numbers and applies it to the solution with examples.

It is summed up the high equation problem for the complex hydraulic calculation in actual project.

This paper introduces several methods of solving the high order equations using setting point near the railway spiral curve, and compiles the calculating program that can transform the method of solving the difficult and complex equations into a calculating model for the purpose of convenient quotation in real calculation.