5x/(x^2+x-6)+(2x-5)/(x^2-x-12)=(7x-10)/(x^2-6x+8)

来源:百度知道 编辑:UC知道 时间:2024/05/10 18:01:04
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5x/(x^2+x-6)+(2x-5)/(x^2-x-12)=(7x-10)/(x^2-6x+8)
5x/[(x+3)(x-2)]+(2x-5)/[(x-4)(x+3)]=(7x-10)/[(x-2)(x-4)]
同时乘以(x+3)(x-2)(x-4)
得到 5x(x-4)+(2x-5)(x-2)=(7x-10)(x+3)
5x^2-20x+2x^2-9x+10=7x^2+11x-30
40x=40
x=1

5x/[(x+3)(x-2)]+(2x-5)/[(x-4)(x+3)]=(7x-10)/[(x-2)(x-4)]
同时乘以(x-2)(x+3)(x-4)
5x(x-4)+(2x-5)(x-2)=(7x-10)(x+3)
5x^2-20x+2x^2-9x+10=7x^2+11x-30
40x=40
x=1