求解步骤如下:
由(x+1/x)=3得:(x+1/x)^2=x^2+1/x^2+2=3,即x^2+1/x^2=1而所求得:x^2/(x^4+x^2+1)=1/(x^2+1/x^2+1)……分子分母同除以x2=1/(1+1)=1/2