x/x方+x+1 = 1/4 试求分式x方/x的四次方+x的二次方+1的值
问题描述：
x/x方+x+1 = 1/4 试求分式x方/x的四次方+x的二次方+1的值
答
x/(x方+x+1) = 1/4 左边分子分母同除以x：1/(x+1+1/x) = 1/4x+1/x+1 = 4x+1/x = 3(x+1/x)^2 = 9 【其中^代表乘方】x^2+1/x^2+2 = 9x^2+1/x^2+1 = 81/(x^2+1/x^2+1) = 1/8x^2/(x^4+1+x^2) = 1/8x^2/(x^4+x^2+1) =...