1296(x^4)-1800x"'+513x"-200x+41=0
分解因式
(144x")(9x")-(200x)(9x")+(144+369)x"-200x+41=0
(144x")(9x")+144x"-(200x)(9x")-200x+369x"+41=0
(144x")(9x"+1)-200x(9x"+1)+41(9x"+1)=0
(9x"+1)(144x"-200x+41)=0
或者
(144x")(9x")-(200x)(9x")+41(9x")+144x"-200x+41=0
(9x")(144x"-200x+41)+(144x"-200x+41)=0
(9x"+1)(144x"-200x+41)=0
继续分解
[9x"-(-1)](144x"-36x-164x+41)=0
(3x+i)(3x-i)[36x(4x-1)-41(4x-1)]=0
(3x+i)(3x-i)(4x-1)(36x-41)=0
解方程,两个实数解,就是
x1=1/4,
x2=41/36,
还有两个复数解,就是
x3=(1/3)i
x4=-(1/3)i