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The equation `sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=` hsA. No solutionB. Exactly two distinct solutionsC. Exactly four distinct solutionsD. Infinitely may solutions |
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Answer» Correct Answer - D `sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1,Xge1` `sqrt((x+1)-2xx2sqrt(x-1)+4)+sqrt((x-1)-6sqrt(x-1)+9)=1` `|sqrt(x-1)-2|+|sqrt(x-1)-3|=1` Case - 1 `sqrt(x-1)-2+sqrt(x-1)-3=1" "xge10` `2sqrt(x-1)=6` x = 10 Case - II `sqrt(x-1)-2-sqrt(x-1)+3=1" "5lexle10` Case - III `-sqrt(x-1)+2-sqrt(x-1)+3=1" "1lexle5` `2sqrt(x-1)=4` x = 5 |
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