一元四次方程解法一元四次方程怎么解呢?谁能帮我解这个方程啊? X^4+13X^-5*根号下2乘X+36＝0我分都是负的了,闷这位大哥是用什么软件算的啊。杂那么复杂呢，是人看的吗？
2019-05-28
一元四次方程解法
一元四次方程怎么解呢?
谁能帮我解这个方程啊?
X^4+13X^-5*根号下2乘X+36＝0
我分都是负的了,闷
这位大哥是用什么软件算的啊。杂那么复杂呢，是人看的吗？
优质解答
不会出错的,用matlab
solve('x^4-13*x^2-5*sqrt(2)*x+36=0')
ans =
x1=1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+1/6*3^(1/2)*((52*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)-601*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+30*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)
x2=1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-1/6*3^(1/2)*((52*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)-601*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+30*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)
x3=-1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+1/6*i*((-156*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+3*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)+1803*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+90*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)
x4=-1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-1/6*i*((-156*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+3*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)+1803*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+90*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)
不会出错的,用matlab
solve('x^4-13*x^2-5*sqrt(2)*x+36=0')
ans =
x1=1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+1/6*3^(1/2)*((52*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)-601*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+30*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)
x2=1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-1/6*3^(1/2)*((52*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)-601*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+30*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)
x3=-1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+1/6*i*((-156*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+3*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)+1803*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+90*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)
x4=-1/6*3^(1/2)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)-1/6*i*((-156*(15326+15*79131^(1/2))^(1/3)*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+3*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)*(15326+15*79131^(1/2))^(2/3)+1803*((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2)+90*2^(1/2)*3^(1/2)*(15326+15*79131^(1/2))^(1/3))/(15326+15*79131^(1/2))^(1/3)/((26*(15326+15*79131^(1/2))^(1/3)+(15326+15*79131^(1/2))^(2/3)+601)/(15326+15*79131^(1/2))^(1/3))^(1/2))^(1/2)