Solve `sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1`

Explanation

Let `sqrt((x-1))=t`
We have `x=t^(2)+1,tge0`
The given equation reduce in the form
`sqrt((t^(2)+4-4t))+sqrt((t^(2)+9-6t))=1`
`implies|t-2|+|t-3|=1`

`:.2letle3`
`implies4let^(2)le9`
`implies4lex-1le9`
`implies5lexle10`
`:.` Solution of the original equation is `x epsilon[5,10]`