Question

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

Answer 1

x/(x方+x+1) = 1/4

左边分子分母同除以x：

1/(x+1+1/x) = 1/4

x+1/x+1 = 4

x+1/x = 3

(x+1/x)^2 = 9 【其中^代表乘方】

x^2+1/x^2+2 = 9

x^2+1/x^2+1 = 8

1/(x^2+1/x^2+1) = 1/8

x^2/(x^4+1+x^2) = 1/8

x^2/(x^4+x^2+1) = 1/8