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解方程:x/(x%2)+(x%9)/(x%7)=(x+1)/(x%1)+(x%8)/(...

解: x/(x-2)+(x-9)/(x-7)=(x+1)/(x-1)+(x-8)/(x-6) 因为x/x-2=(x-2+2)/x-2=1+2/x-2.其他类似。 即 1+2/(x-2)+1-2/(x-7)=1+2/(x-1)+1-2/(x-6) 1/(x-2)-1/(x-7)=1/(x-1)-1/(x-6) 可得-5/(x-2)(x-7)=-5/(x-1)(x-6) (x-2)(x-7)=(x-1)(x-6) 化简...

(x-6)/(x-7)+1/(7-x)=8 解:(x-6)/(x-7)-1/(x-7)=8 两边同时乘以x-7,得 x-6-1=8(x-7) x-7=8x-56 7x=56-7 7x=49 x=7 题目有问题?

x乘(x+1)乘(x+2)=504 x(x+1)(x+2)=504 x(x+1)(x+2)=7×8×9 x=7

解答如下:

x=4

拆项: 1-1/(x+2)+1-1/(x+7)=1-1/(x+3)+1-1/(x+6) 即: 1/(x+2)+1/(x+7)=1/(x+3)+1/(x+6) 通分: (2x+9)/(x+2)(x+7)=(2x+9)/(x+3)(x+6) 得:2x+9=0, 或(x+2)(x+7)=(x+3)(x+6) 前者得x=-4.5, 后者无解 经检验,x=-4.5为原方程的解。

因为结果是整数,分子同是一个未知数减去一个整数,分母又是3、5、7、9、11这样的奇数,那么每一项都是整数,又x-2既是3的倍数又是7的倍数,那么x-2最小为21,其次42,若x-2=42,那么(x-2)/3=14,(x-2)/7=6,这两者相加已经大于18,故x-2=21...

解:(根号7)(1+x)/(根号7+根号2)+(根号2)/(根号7--根号2)=0 (根号7--根号2)(根号7)(1+x)+(根号7+根号2)(根号2)=0 (7--根号14)(1+x)+(根号14+2)=0 (根号14--7)(1+x)=(根号14+2) 1+x=(根号14+2)/(根号14--7) =(根号14+2)(根号14+7)/(根号14--7)(...

(x-4)/(x-5)=(x-5+1)/(x-5)=1+(1/(x-5)) 原方程装换为 1+(1/(x-5))+1+(1/(x-9))=1+(1/(x-8))+1+(1/(x-6)) 1/(x-5)+1/(x-9)=1/(x-8)+1/(x-6) 设x-7=y 1/(y+2)+1/(y-2)=1/(y-1)+1/(y+1) 2y/(y*y-4)=2y/(y*y-1) y=0,x=7

(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

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