(1)x=(a+d)/2
第一个方程中方程两边的分母中常数项的和都是7,x的值是7/2,而(1/x-a)-(1/x-b)=(1/x-c)-(1/x-d)可变形为:(1/x-a)+(1/x-d)=(1/x-c)+(1/x-b),其中a+d=b+c,所以x=(a+d)/2
(2)x=7/2
(x-1)/(x-2)-(x-3)/(x-4)=(x-2)/(x-3)-(x-4)(x-5)
移项得:(x-1)/(x-2)+(x-4)(x-5)=(x-2)/(x-3)+(x-3)/(x-4)
变形得:-(x-1)/(x-2)-(x-4)(x-5)=-(x-2)/(x-3)-(x-3)/(x-4)
方程两边都加2:1-(x-1)/(x-2)+1-(x-4)(x-5)=1-(x-2)/(x-3)+1-(x-3)/(x-4)
整理:1/(x-2)+1/(x-5)=1/(x-3)+1/(x-4)
x=7/2