分母有未知数的一元方程.[100/(x+3)]+[240/(x-1)]=340/x

学习 时间:2026-11-13 05:22:45 阅读:4115
分母有未知数的一元方程.[100/(x+3)]+[240/(x-1)]=340/x[100/(x+3)]+[240/(x-1)]=340/x求x

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幽默的睫毛

尊敬的刺猬

2026-11-13 05:22:45

[100/(x+3)]+[240/(x-1)]=340/x [10/(x+3)]+[24/(x-1)]=34/x [5/(x+3)]+[12/(x-1)]=17/x (化简,左右同除20)(5x-5+12x+36)/[(x+3)(x-1)]=17/x(通分)(17x+31)/(x^2+2x-3)=17/x17x^2+34x-51=17x^2+31x(交叉相乘)34x-31x-51=03x-51=0x=17

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  • 失眠的向日葵
    回复
    2026-11-13 05:22:45

    [100/(x+3)]+[240/(x-1)]=340/x [10/(x+3)]+[24/(x-1)]=34/x [5/(x+3)]+[12/(x-1)]=17/x (化简,左右同除20)(5x-5+12x+36)/[(x+3)(x-1)]=17/x(通分)(17x+31)/(x^2+2x-3)=17/x17x^2+34x-51=17x^2+31x(交叉相乘)34x-31x-51=03x-51=0x=17

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