X(X+3)分之1+(x+3)(x+6)分之1+(x+6)(x+9)分之1=2x+18分之3

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 06:43:08
X(X+3)分之1+(x+3)(x+6)分之1+(x+6)(x+9)分之1=2x+18分之3

X(X+3)分之1+(x+3)(x+6)分之1+(x+6)(x+9)分之1=2x+18分之3
X(X+3)分之1+(x+3)(x+6)分之1+(x+6)(x+9)分之1=2x+18分之3

X(X+3)分之1+(x+3)(x+6)分之1+(x+6)(x+9)分之1=2x+18分之3
X(X+3)(x+6)分之(x+6)+x(x+3)(x+6)分之x+(x+6)(x+9)分之1
X(X+3)(x+6)分之(2x+6)+(x+6)(x+9)分之1
x(x+6)分之2)+(x+6)(x+9)分之1
x(x+6)(x+9)分之(2x+18)+x(x+6)(x+9)分之x
x(x+9)分之3=2x+18分之3
x=2

1/X(X+3)+1/(x+3)(x+6)+1/(x+6)(x+9)=3/(2x+18)
1/X(X+3)+1/(x+3)(x+6)+1/(x+6)(x+9)=3/2(x+9)
1/3 〔1/X-1/(X+3)〕+1/3〔1/(x+3)-1/(x+6)〕+1/3〔1/(x+6)-1/(x+9)〕=3/2(x+9)
1/3 *(1/X)-1/3* 1/(X+3)〕+1/3* ...

全部展开

1/X(X+3)+1/(x+3)(x+6)+1/(x+6)(x+9)=3/(2x+18)
1/X(X+3)+1/(x+3)(x+6)+1/(x+6)(x+9)=3/2(x+9)
1/3 〔1/X-1/(X+3)〕+1/3〔1/(x+3)-1/(x+6)〕+1/3〔1/(x+6)-1/(x+9)〕=3/2(x+9)
1/3 *(1/X)-1/3* 1/(X+3)〕+1/3* 1/(x+3)-1/3*1/(x+6)〕
+1/3*1/(x+6)-1/3* 1/(x+9)=3/2(x+9)
1/3 *(1/X)-1/3* 1/(x+9)=3/2(x+9)
(1/X)- 1/(x+9)=9/2(x+9)
1/X =9/2(x+9)+ 1/(x+9)
1/X =11/2(x+9)
2(x+9)=11x
2x+18=11x
9x=18
x=2

收起

1/x-1/(x+3)+1/(x+3)-1/(x+6)+1/(x+6)-1/(x+9)=
3/(2x+18)
1/x-1/(x+9)=3/(2x+18)
1/x-1/(x+9)=3/2(x+9)
两边同乘以2x(x+9)
2(x+9)-2x=3x
x=6
经检验:x=6是原方程的根