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sqrt(x/(1-x))+sqrt((1-x)/x)=13/6...

`sqrt(x/(1-x))+sqrt((1-x)/x)=13/6`

Text Solution

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`x/(1-x)=y^2`
`3+1/y=13/6`
`6y^2-13y+6=0`
`y=(13pmsqrt(13^2-144))/12`
`=(13pmsqrt25)/12`
`y=3/2,2/3`
when`y=3/2`
`x/(1-x)=(3/2)=9/4`
...
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