x不等于0
方程兩邊都乘以x
x/(x^2+1)+(x^2+1)/x=10/3
設(shè)x/(x^2+1)=y
方程變?yōu)?br/>y+1/y=10/3
3y^2-10y+3=0
y1=3,y2=1/3
1)x/(x^2+1)=3時(shí),無(wú)實(shí)數(shù)解
2)x/(x^2+1)=1/3時(shí),
x1=(3+根號(hào)5)/2,x2=(3-根號(hào)5)/2,