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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:2026-05-30 10:03:49 阅读：6760

1/x+6+1/x+4=1/x+7+1/x+3 解分式方程

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2026-05-30 10:03:49

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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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2026-05-30 10:03:49
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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