InterviewSolution
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InterviewSolution
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The equation `(x+3-4(x-1)^(1//2))^(1//2)+(x+8-6(x-1)^(1//2))^(1//2)=1` has(A) no solution(B) only `1` solution(C) only `2` solutions(D) more than `2` solutionsA. no solutionB. only `1` solutionC. only `2` solutionsD. more than `2` solutions |
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Answer» Correct Answer - D `(d)` Put `(x-1)^(1//2)=t` or `x=t^(2)+1` Therefore, the given equation becomes `(t^(2)+4-4t)^(1//2)+(t^(2)+9-6t)^(1//2)=1` `implies [(t-2)^(2)]^(1//2)+[(t-3)^(2)]^(1//2)=1` `implies|t-2|+|t-3|=1` This equation is satisfied for all values of `t` lying between `2` and `3` i.e., `2 le t le 3` Thus, the given equation is satisfied for all values of `x` lying between `5` and `10`. |
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