解分式方程（X-4)/(X-5)-(X-5)/(X-6)=(X-7)/(X-8)-(X-8)/(X-9)_数学解答

解分式方程（X-4)/(X-5)-(X-5)/(X-6)=(X-7)/(X-8)-(X-8)/(X-9)

人气：261 ℃　时间：2019-12-19 23:24:06

解答

左右两边同乘以(X-5)(X-6)(X-8)(X-9)
得到(X-4)(X-6)(X-8)(X-9)-(X-5)(X-5)(X-8)(X-9)=(X-5)(X-6)(X-7)(X-9)-(X-5)(X-6)(X-8)(X-8)
整理得到-(X-8)(X-9)=-(X-5)(X-6)
展开解得X=7