(3x+5)/(x+2)+(3x+26)/(x+9)=(3x+17)/(x+6)+(3x+14)/(x+5) 解方程
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(3x+5)/(x+2)+(3x+26)/(x+9)=(3x+17)/(x+6)+(3x+14)/(x+5) 解方程
(3x+5)/(x+2)+(3x+26)/(x+9)=(3x+17)/(x+6)+(3x+14)/(x+5) 解方程
(3x+5)/(x+2)+(3x+26)/(x+9)=(3x+17)/(x+6)+(3x+14)/(x+5) 解方程
(3x+5)/(x+2)+(3x+26)/(x+9)=(3x+17)/(x+6)+(3x+14)/(x+5)
[3x+2)-1]/(x+2)+[3(x+9)-1]/(x+9)=[3(x+6)-1]/(x+6)+[3(x+5)-1]/(x+5)
1/(x+2)+1/(x+9)=1/(x+6)+1/(x+5)
1/(x+2)-1/(x+5)=1/(x+6)-1/(x+9)
3/(x+2)(x+5)=3/(x+6)(x+9)
7x+10=15x+54
x=﹣11/2
[3(x+2)-1]/(x+2)+[3(x+9)-1]/(x+9)=[3(x+6)-1]/(x+6)+[3(x+5)-1]/(x+5)
3-1/(x+2)+3-1/(x+9)=3-1/(x+6)+3-1/(x+5)
1/(x+2)+1/(x+9)=1/(x+6)+1/(x+5)
(2x+11)/[(x+2)(x+9)]=(2x+11)/[(x+6)(x+5)]
∴2x+11=0
∴x=﹣11/2
[3(x+2)-1]/(x+2)+[3(x+9)-1]/(x+9)=[3(x+6)-1]/(x+6)+[3(x+5)-1]/(x+5)
化简得1/(x+2)+1/(x+9)=1/(x+6)+1/(x+5)
变形得1/(x+2)-1/(x+5)=1/(x+6)-1/(x+9)
得3/(x+2)(x+5)=3/(x+6)(x+9)
即7x+10=15x+54
得x=-5.5