InterviewSolution
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InterviewSolution
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If `(sqrt(3))^(x+y)=9` and `(sqrt(2))^(x-y)=32`, then `2x+y` is _______.A. 1B. 0C. 17D. 11 |
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Answer» Correct Answer - D Given, `(sqrt(3))^(x+y)=9` and `(sqrt(2))^(x-y)=32` `implies 3^((x+y)/2)=3^(2)` and `2^((x-y)/2)=2^(5)` `implies (x+y)/2=2` and `(x-y)/2=5` `implies x+y=4` (1) and `x-y=10` (2) Solving (1) and (2), we get `x=7` and `y=-3` Now, `2x+y=2(7)-3=11`. |
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