解方程 X除以(X-2) + (X-9)除以(X-7) = (X+1)除以(X-1) +(X-8)除以(X-6)
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/04/28 14:51:41
解方程 X除以(X-2) + (X-9)除以(X-7) = (X+1)除以(X-1) +(X-8)除以(X-6)
X除以(X-2) + (X-9)除以(X-7) = (X+1)除以(X-1) +(X-8)除以(X-6)
(x-2+2/x-2)+(x-7-2/x-7)=(x-1+2/x-1)+(x-6-2/x-6)
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)
(1/x-2)+(1/x-6)=(1/x-7)+(1/x-1)
x-6+x-2/(x-2)(x-6)=x-1+x-7/(x-1)(x-7)
2x-8/(x-2)(x-6)=2x-8/(x-1)(x-7)
2x-8=0
x=4
(x-2+2/x-2)+(x-7-2/x-7)=(x-1+2/x-1)+(x-6-2/x-6)
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)
(1/x-2)+(1/x-6)=(1/x-7)+(1/x-1)
x-6+x-2/(x-2)(x-6)=x-1+x-7/(x-1)(x-7)
2x-8/(x-2)(x-6)=2x-8/(x-1)(x-7)
2x-8=0
x=4
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