天下的朋友们！设想五次方程公式解存在那数学世界将怎么样

数想记

作者进过几年的探索！发现一元五次方程有已知常数的模式解！而且有可能存在公式普遍解

风花飘飘

一元五次的基本就是这个模样：



32*x^5-160*x-79=0的根就是这个样子：

x1=（实数）
(2*5^(1/2)+6-2*(8*(125^(1/2)+11)^2)^(1/5))
/(5*(8*(125^(1/2)+11)^2)^(1/5)-5*5^(1/2)-15)

x2 = （虚数）
(-sqrt((-(15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))/(8*sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950)))-(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)+475/(72*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3))-5/24)/2)-sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950)/(24*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))+1/8

x3=（虚数）
sqrt((-(15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))/(8*sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950)))-(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)+475/(72*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3))-5/24)/2-sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950)/(24*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))+1/8

x4=（实数）
(-sqrt((15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))/(8*sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950))-(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)+475/(72*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3))-5/24)/2)+sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950)/(24*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))+1/8

x5=（实数）
sqrt((15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))/(8*sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950))-(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)+475/(72*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3))-5/24)/2+sqrt(144*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(2/3)-15*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/3)-950)/(24*(3575/3456+(175*sqrt(4163))/(128*3^(3/2)))^(1/6))+1/8

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