InterviewSolution
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InterviewSolution
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If `2y + (1)/(2y) = 3 ` , then `16y^(4) + (1)/(16y^(4)) = "_____"`.A. 81B. 79C. 49D. 47 |
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Answer» Correct Answer - D Given , `2y + (1)/(2y) = 3` Taking squares on both the sides , `(2y + (1)/(2y))^(2) = 3^(2)` `4y^(2) + (1)/(4y^(2)) + 2 = 9` `4y^(2) + (1)/(4y^(2)) = 7` Again taking squares on both the sides , `(4y^(2) + (1)/(4y^(2)))^(2) = 7^(2)` `16y^(4) + (1)/(16y^(4)) + 2 = 49` `16y^(2) + (1)/(16y^(4)) = 47` Hence , the correct option is (d) . |
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