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The equation sqrt(x+3-4sqrt(x-1))+sqrt(x...

The equation `sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=` hs

Text Solution

Verified by Experts

`x>=1`
`x+3-4sqrt(x-1)`
`=(sqrt(x-1)-2)^2`
`x+8-6sqrt(x-1)=(sqrt(x-1)-3)^2`
`sqrt(x-1)>=3`
`sqrt(x-1)-2+sqrt(x-1)-3=1`
`2sqrt(x-1)=6`
`x-1=9`
...
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