【x^5-5*x-2=0】可表示为：

风花飘飘

【x^5-5*x-2=0】可表示为：

(((3^(2/3)*(sqrt(3)*sqrt(27*c^2+4*b^3)-9*c)^(2/3)-3*2^(2/3)*b)/(2^(1/3)*3^(4/3)*(sqrt(3)*sqrt(27*c^2+4*b^3)-9*c)^(1/3))))^5-5*(((3^(2/3)*(sqrt(3)*sqrt(27*c^2+4*b^3)-9*c)^(2/3)-3*2^(2/3)*b)/(2^(1/3)*3^(4/3)*(sqrt(3)*sqrt(27*c^2+4*b^3)-9*c)^(1/3))))-2


= ((-5*3^(67/6)*b*c^8+sqrt(27*c^2+4*b^3)*(5*3^(29/3)*b*c^7-2*3^(32/3)*c^6+25*3^(20/3)*b^4*c^5-10*3^(23/3)*b^3*c^4+10*3^(14/3)*b^7*c^3-4*3^(17/3)*b^6*c^2+5*3^(2/3)*b^10*c-2*3^(5/3)*b^9)+2*3^(73/6)*c^7-35*3^(49/6)*b^4*c^6+14*3^(55/6)*b^3*c^5-70*3^(31/6)*b^7*c^4+28*3^(37/6)*b^6*c^3-35*3^(13/6)*b^10*c^2+14*3^(19/6)*b^9*c)*(sqrt(3)*sqrt(27*c^2+4*b^3)-9*c)^(2/3)+(-2^(1/3)*3^(77/6)*c^9+sqrt(27*c^2+4*b^3)*(2^(1/3)*3^(34/3)*c^8+(5*2^(1/3)*3^(31/3)*b-2^(1/3)*3^(28/3)*b^3)*c^6+(25*2^(1/3)*3^(22/3)*b^4-35*2^(1/3)*3^(16/3)*b^6)*c^4+(5*2^(4/3)*3^(16/3)*b^7-25*2^(4/3)*3^(7/3)*b^9)*c^2-2^(1/3)*3^(4/3)*b^12+5*2^(1/3)*3^(4/3)*b^10)+(2^(1/3)*3^(59/6)*b^3-5*2^(1/3)*3^(71/6)*b)*c^7+(43*2^(1/3)*3^(41/6)*b^6-35*2^(1/3)*3^(53/6)*b^4)*c^5+(55*2^(4/3)*3^(23/6)*b^9-35*2^(4/3)*3^(35/6)*b^7)*c^3+(61*2^(1/3)*3^(5/6)*b^12-35*2^(1/3)*3^(17/6)*b^10)*c)*(sqrt(3)*sqrt(27*c^2+4*b^3)-9*c)^(1/3)+(5*2^(5/3)*3^(23/2)*b^2-5*2^(2/3)*3^(27/2))*c^8+sqrt(27*c^2+4*b^3)*((2657205*2^(2/3)-295245*2^(5/3)*b^2)*c^7+(295245*2^(5/3)*b^3-129033*2^(2/3)*b^5)*c^5+(18225*2^(5/3)*b^6-243*2^(17/3)*b^8)*c^3+(135*2^(8/3)*b^9-111*2^(2/3)*b^11)*c)+(79*2^(2/3)*3^(17/2)*b^5-5*2^(11/3)*3^(21/2)*b^3)*c^6+(97*2^(5/3)*3^(11/2)*b^8-25*2^(8/3)*3^(15/2)*b^6)*c^4+(151*2^(2/3)*3^(5/2)*b^11-5*2^(14/3)*3^(9/2)*b^9)*c^2+2^(5/3)*3^(3/2)*b^14-5*2^(5/3)*3^(3/2)*b^12)/((-3^(73/6)*c^7+sqrt(27*c^2+4*b^3)*(3^(32/3)*c^6+5*3^(23/3)*b^3*c^4+2*3^(17/3)*b^6*c^2+3^(5/3)*b^9)-7*3^(55/6)*b^3*c^5-14*3^(37/6)*b^6*c^3-7*3^(19/6)*b^9*c)*(sqrt(3)*sqrt(27*c^2+4*b^3)-9*c)^(2/3)) =0





这个比较精确：
x = -0.4021023844115887
x = -1.371881778741866
x = 1.582035755478662
x = 0.0959742020376793+1.510795358013557*i
x = 0.0959742020376793 -1.510795358013557*i

他们是这个爷爷方程：
2*x^6+2*x^5-10*x^2-14*x-4=0的解

他分解出来的儿子方程长的是这样的：

(4*x^3-y*x^2+y+2)*(x^3+5*x-y)/(x^5-5*x-2) = ((x^2-1)*y^2+(-x^5-8*x^3+5*x-2)*y+4*x^6+20*x^4+2*x^3+10*x)/(x^5-5*x-2)  

风花飘飘

x约=9.9101784243204^(1/5)

风花飘飘

{:soso_e102:} {:soso_e164:}


(4*x^3-y*x^2+y+2)*(x^3+5*x-y)
= (x^2-1)*y^2+(-x^5-8*x^3+5*x-2)*y+4*x^6+20*x^4+2*x^3+10*x

x=((sqrt(27*y^2+500)/(2*3^(3/2))+y/2)^(1/3)-5/(3*(sqrt(27*y^2+500)/(2*3^(3/2))+y/2)^(1/3)))