魔兽争霸中立商店:解方程啊

来源:百度文库 编辑:高考问答 时间:2024/05/10 17:56:57
(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/(x-6)
过程!

解:(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/(x-6)
1+1/(x-5)+1+1/(x-9)=1+1/(x-8)+1+1/(x-6)
1/(x-5)+1/(x-9)=1/(x-8)+1/(x-6)
1/(x-5)-1/(x-8)=1/(x-6)-1/(x-9)
-3/(x^2-13x+40)=-3/(x^2-15x+54)
x^2-13x+40=x^2-15x+54
2x=14
x=7

x=7

同意楼上