作业帮解方程1/(x+x﹚+1/(x+3x+2﹚+1/(x+5x+6﹚+1/(x+7x+12﹚=4/21得
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/29 09:18:59
解方程1/(x+x﹚+1/(x+3x+2﹚+1/(x+5x+6﹚+1/(x+7x+12﹚=4/21得
题目应是 1/(x^2+x﹚+1/(x^2+3x+2﹚+1/(x^2+5x+6﹚+1/(x^2+7x+12﹚=4/21
1/x(x+1﹚+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)=4/21
1/x -1/(x+1﹚+1/(x+1) -1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3) -1/(x+4)=4/21
1/x -1/(x+4)=4/21
4/x(x+4)=4/21
x^2+4x-21=0
(x-3)(x+7)=0
x=3 x=-7
经检验x=3或x=-7是方程的根
1/x(x+1﹚+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)=4/21
1/x -1/(x+1﹚+1/(x+1) -1/(x+2)+1/(x+2)-1/(x+3)+1/(x+3) -1/(x+4)=4/21
1/x -1/(x+4)=4/21
4/x(x+4)=4/21
x^2+4x-21=0
(x-3)(x+7)=0
x=3 x=-7
经检验x=3或x=-7是方程的根
解方程1/(x+x﹚+1/(x+3x+2﹚+1/(x+5x+6﹚+1/(x+7x+12﹚=4/21得
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解分式方程：x-3/x-1-x-4/x-2=x-5/x-3-x-6
|X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10|
解方程：(4/x-2)+(x-1/x-5x+6)+(2/3-x)=0