二次公式难以实现：求解方程的少radical方法
The quadratic formula made hard: A less radical approach to solving equations
摘要：
看来，随着我的许多朋友和同事，我已经被洗脑的伟大和悲惨的生活阿贝尔和伽罗瓦相信，没有一般公式是可能的根方程高于四次。这似乎是证实了辉煌和艰巨的解决方案一般五次厄米。然而，下面我们找到一个公式，它给出了2-5次的任何代数方程和更高次的任何简化方程（见下文）的根。这种算法，这一定是熟悉拉格朗日，导致当我工作的一份关于渐近的超几何函数高斯乘法公式的Γ函数是用来减少某些无穷级数，并通过一个愉快的意外我的副本惠特克和沃森打开第133页。
英文摘要：
It appears that, along with many of my friends and colleagues, I had been brainwashed by the great and tragic lives of Abel and Galois to believe that no general formulas are possible for roots of equations higher than quartic. This seemed to be confirmed by the brilliant and arduous solution of the general quintic by Hermite. Yet, below we find a formula giving a root to any algebraic equation of degree 2-5 and any reduced equation (see below) of higher degree. This algorithm, which must have been familiar to Lagrange, resulted when I was working on a paper on the asymptotics of hypergeometric functions where Gauss' multiplication formula for the gamma function is used to reduce certain infinite series, and by a happy accident my copy of Whittaker and Watson opened at p. 133.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
