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1/x+6+1/x+4=1/x+7+1/x+3 解分式方程

学习时间:2026-08-14 00:41:33 阅读：8938

1/x+6+1/x+4=1/x+7+1/x+3 解分式方程

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朴实的咖啡豆

魁梧的黑裤

2026-08-14 00:41:33

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1/x+6+1/x+4=1/x+7+1/x+31/x+6 - 1/x+7 = 1/x+3 - 1/x+41/(x+6)(x+7)=1/(x+3)(x+4)(x+3)(x+4) = (x+6)(x+7)x^2+7x+12 = x^2+13x+426x = -30x = -5

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清爽的西装
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2026-08-14 00:41:33
1/x+6+1/x+4=1/x+7+1/x+31/x+6 - 1/x+7 = 1/x+3 - 1/x+41/(x+6)(x+7)=1/(x+3)(x+4)(x+3)(x+4) = (x+6)(x+7)x^2+7x+12 = x^2+13x+426x = -30x = -5

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