解分式方程

如下:


圖片參考：http://i204.photobucket.com/albums/bb125/jasonchan424/4685.jpg

(x-4+x+1)/((x-5)(x+2))=(x-5+x+2)/((x-4)(x+1))
(2x-3)/((x-5)(x+2))=(2x-3)/((x-4)(x+1))
(x-5)(x+2)=(x-4)(x+1)
x^2-3x-10=x^2-3x-1
x=3

(x + 2 + x - 5)/((x-5)(x+2)) = (x+1 + x- 4)/((x-4)(x+1))
(2x -3)/((x-5)(x+2)) = (2x -3)/((x-4)(x+1))
(2x -3)((x-4)(x+1)) = (2x -3)((x-5)(x+2))
(2x - 3)((x-4)(x+1) - (x-5)(x+2)) = 0
(2x - 3)(6) = 0
x = 3/2