1/【1+{1/[3+(1/X)]】=9/11,求解X=?我要过程啊.

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1/【1+{1/[3+(1/X)]】=9/11,求解X=?我要过程啊.

1/【1+{1/[3+(1/X)]】=9/11,求解X=?我要过程啊.
1/【1+{1/[3+(1/X)]】=9/11,求解X=?我要过程啊.

1/【1+{1/[3+(1/X)]】=9/11,求解X=?我要过程啊.
1/【1+{1/[3+(1/X)]}】=9/11
9【1+{1/[3+(1/X)]}】=11
9+9/[3+(1/X)]=11
9/[3+(1/X)]=2
9=2[3+(1/X)]
9=6+2/x
3=2/x
x-2/3

由原式可得
9+9/[3+(1/X)]=11 移项得 9/[3+(1/X)]=2
6+(2/X)=9 2/X=3 解得X=2/3