作业帮方程：x+1分之x+2-x+3分之x+4=x+5分之x+6-x+7分之x+8
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 20:27:41
方程：x+1分之x+2-x+3分之x+4=x+5分之x+6-x+7分之x+8
方程：x+1分之x+2-x+3分之x+4=x+5分之x+6-x+7分之x+8
方程：x+1分之x+2-x+3分之x+4=x+5分之x+6-x+7分之x+8
x+1分之x+2-x+3分之x+4=x+5分之x+6-x+7分之x+8
4/3x+6=12/35x+14
(140/105-36/105)x=8
x=8*105/104
x=105/13
x+1分之x+2-x+3分之x+4=x+5分之x+6-x+7分之x+8
(x+2)/(x+1)-(x+4)/(x+3)=(x+6)/(x+5)+(x+8)/(x+7)
1+1/(x+1)-1-1/(x+3)=1+1/(x+5)+1-1/(x+7)
1/(x+1)-1/(x+3)=1/(x+5)-1/(x+7)
2/(x+1)(x+3)=2/(x+5)(x+7)
(x+1)(x+3)=(x+5)(x+7)
x^2+4x+3=x^2+12x+35
12x-8x=3-35
8x=-32
x=-4
(x+2)/(x+1) -(x+4)/(x+3)=(x+6)/(x+5) -(x+8)/(x+7)
1 +1/(x+1) -[1+ 1/(x+3)]=1 +1/(x+5)-[1+1/(x+7)]
1/(x+1) -1/(x+3)=1/(x+5)-1/(x+7)
1/(x+1) +1/(x+7)=1/(x+3)+ 1/(x+5)
(x+7+x+1)/[(x+...
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(x+2)/(x+1) -(x+4)/(x+3)=(x+6)/(x+5) -(x+8)/(x+7)
1 +1/(x+1) -[1+ 1/(x+3)]=1 +1/(x+5)-[1+1/(x+7)]
1/(x+1) -1/(x+3)=1/(x+5)-1/(x+7)
1/(x+1) +1/(x+7)=1/(x+3)+ 1/(x+5)
(x+7+x+1)/[(x+1)(x+7)]=(x+5+x+3)/[(x+3)(x+5)]
(2x+8)/(x²+8x+7)=(2x+8)/(x²+8x+15)
(x+4)/(x²+8x+7)=(x+4)/(x²+8x+15)
x²+8x+7恒≠x²+8x+15，要等式成立，只有x+4=0
x=-4
x=-4代入分式方程检验，分母均≠0，x=-4是分式方程的解。
x=-4
提示：先拆项，再对比，可以简化计算。
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