解分式方程:(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/( x-6)

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解分式方程:(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/( x-6)
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解分式方程:(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/( x-6)
解分式方程:(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/( x-6)

解分式方程:(x-4)/(x-5)+(x-8)/(x-9)=(x-7)/(x-8)+(x-5)/( x-6)
这道题不用那么复杂.
先移项.
(x-4)/(x-5)-(x-5)/(x-6)=(x-7)/(x-8)-(x-8)/( x-9)
再通分.
(x-4)(x-6)/(x-5)(x-6)-(x-5)(x-5)/(x-5)(x-6)=(x-7)(x-9)/(x-8)(x-9)-(x-8)(x-8)/(x-8)(x-9)
再化简.
(xˇ2-10x+24-xˇ2+10x-25)/(x-5)(x-6)=(xˇ2-16x+63-xˇ2+16x-64)/(x-8)(x-9)
得:-1/(xˇ2-11x+30)=-1/(xˇ2-17x+72)
交叉相乘.
xˇ2-11x+30=xˇ2-17x+72
然后6x=42 .
最后求得:x=7.