解方程:(x-8)⼀(x-3)-(x-9)⼀(x-4)=(x+7)⼀(x+8)-(x+2)⼀(x+3)

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2024-11-19 02:39:51
推荐回答(1个)
回答1:

(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)

解:通分得
[(x-8)(x-4)-(x-9)(x-3)]/(x-3)(x-4)
=[(x+7)(x+3)-(x+2)(x+8)]/(x+8)(x+3)
解得5/(x-3)(x-4)=5/(x+8)(x+3),
所以(x-3)(x-4)=(x+8)(x+3),
解得x=-2/3