Trapezoid channel is a common form in hydrological project with characteristic of maximum influx at a certain time, its section designing requires a complex equation of higher degree.

梯形渠道的水力最优断面因为具有在过水断面面积一定时通过的流量最大的特点，是水利工程中一种常见的渠槽形式，它的断面设计需求解一个很复杂的高次方程。

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This paper presents a new method in which all roots of a higher degree algebraic equation with real coefficients can be found out.

本文介绍了一种求实系数高次代数方程全部根的新方法。

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