x^5+x^4−12x^3−21x^2+x+5=0
y^5+y^4−16y^3+5y^2+21y−9=0
y^5+y^4−24y^3−17y^2+41y−13=0
y^5+y^4−28y^3+37y^2+25y+1=0
10x^6-75x^3-190x+21=0
前面的五次方程都有根式解,要根式解
最后一个不知道有没有,有就要根式解
没有我希望可以用特殊函数解出来,就像这样
z^5+z^4-e^6=0
z=exp(6/5)*hypergeom([-1/5, 1/20, 3/10, 11/20],[1/5, 2/5, 3/5],256/3125*exp(-6))
+2/25*exp(-6/5)*
hypergeom([1/5, 9/20, 7/10, 19/20],[3/5, 4/5, 7/5],2/3125*exp(-6))
-4/125*exp(-12/5)*
hypergeom([2/5, 13/20, 9/10, 23/20],[4/5, 6/5, 8/5],256/3125*exp(-6))
+7/625*exp(-18/5)*
hypergeom([3/5, 17/20, 11/10, 27/20],[6/5, 7/5, 9/5],256/3125*exp(-6))
-1/5