解方程:(x+2)⼀(x^2 - 2x) - (2x-1)⼀(x^2 - 4) = (1-x)⼀x(x+2)

2025-02-25 17:07:44
推荐回答(2个)
回答1:

(x+2)/(x^2-2x)-(2x-1)/(x^2-4)=(1-x)/[x(x+2)]
(x+2)/[x(x-2)]-(2x-1)/[(x-2)(x+2)]=(1-x)/[x(x+2)]
两边同乘以x(x-2)(x+2)
(x+2)^2-(2x-1)x=(1-x)(x-2)
x^2+4x+4-(2x^2-x)=x-2-x^2+2x
-x^2+5x+4=3x-2-x^2
2x=-6
x=-3

回答2:

x = -3