√ 2x+2/x+2 - √ x+2/2x+2=7/12

来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/12 03:38:23
√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=7/12a=√[(2x+2)/(x+2)]则a-1/a=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