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Solve`sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1` |
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Answer» `sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1` `or sqrt(x-1-4sqrt(x-1)+4)+sqrt(x-1-6sqrt(x-1))=1` `or sqrt(|sqrt(x-1)-2|^2)+ sqrt(|sqrt(x-1)-3|^2)=1` or `|sqrt(x-1)-2|+|sqrt(x-1)-3|=1` or `|sqrt(x-1)-2|+|sqrt(x-1)-3|=(sqrt(x-1)-2)-(sqrt(x-1)-3)` `rArr sqrt(x-1)-2 ge 0 and sqrt(x-1)-3 le 0 ` `rArr 4 le x-1 le9` `rArr 5 lex le 10` |
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