√ 2x+2/x+2 - √ x+2/2x+2=7/12

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√ 2x+2/x+2 - √ x+2/2x+2=7/12

√ 2x+2/x+2 - √ x+2/2x+2=7/12
√ 2x+2/x+2 - √ x+2/2x+2=7/12

√ 2x+2/x+2 - √ x+2/2x+2=7/12
a=√[(2x+2)/(x+2)]
则a-1/a=7/12
两边乘12a
12a^2-7a-12=0
(3a-4)(4a+3)=0
a=√[(2x+2)/(x+2)]>0
所以a=√[(2x+2)/(x+2)]=4/3
(2x+2)/(x+2)=16/9
16x+32=18x+18
x=7