作业帮解分式方程:(1)1/(x+6)+1/(x+4)=1/(x+7)+1/(x+3);(2)1/(x-3)+1/(x-7)=
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/17 01:23:12
解分式方程:(1)1/(x+6)+1/(x+4)=1/(x+7)+1/(x+3);(2)1/(x-3)+1/(x-7)=1/(x-4)+1/(x-6).
1)设x+5=y
1/(y+1)+1/(y-1)=1/(y+2)+1/(y-2)
2y/(y+1)(y-1)=2y/(y+2)(y-2)
y(y+2)(y-2)=y(y+1)(y-1)
y(y^2-4)=y（y^2-1)
y=0
x+5=0
x=-5
2)设x-5=y
1/(y+2)+1/(y-2)=1/(y+1)+1/(y-1)
2y/(y+2)(y-2)=2y/(y+1)(y-1)
y(y+1)(y-1)=y(y+2)(y-2)
y=0
x-5=0
x=5
再问： 不是这样算的吧，(1)应该化成:1/(x+6)+1/(x+7)=1/(x+4)+1/(x+3) (2)应该化成:1/(x-3)+1/(x-4)=1/(x-7)+1/(x-6)
再答： 你可以试试，没我的算法简单呦
1/(y+1)+1/(y-1)=1/(y+2)+1/(y-2)
2y/(y+1)(y-1)=2y/(y+2)(y-2)
y(y+2)(y-2)=y(y+1)(y-1)
y(y^2-4)=y（y^2-1)
y=0
x+5=0
x=-5
2)设x-5=y
1/(y+2)+1/(y-2)=1/(y+1)+1/(y-1)
2y/(y+2)(y-2)=2y/(y+1)(y-1)
y(y+1)(y-1)=y(y+2)(y-2)
y=0
x-5=0
x=5
再问： 不是这样算的吧，(1)应该化成:1/(x+6)+1/(x+7)=1/(x+4)+1/(x+3) (2)应该化成:1/(x-3)+1/(x-4)=1/(x-7)+1/(x-6)
再答： 你可以试试，没我的算法简单呦
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