解方程 (x+1)⼀(x+2)+(x+6)⼀(x+7)=(x+2)⼀(x+3)+(x+5)⼀(x+6)

2024-11-18 07:33:10
推荐回答(1个)
回答1:

解:这中间有个拆项的技巧.
原式变形得到:(X+2-1)/(X+2)+(X+7-1)/(X+7)=(X+3-1)/(X+3)+(X+6-1)/(X+6)
1-1/(X+2)+1-1/(X+7)=1-1/(X+3)+1+1/(X+6)
1/(X+2)+1/(X+7)=1/(X+3)+/(X+6)
现在左右两边通分,解得X1=-7,X2=-3.6