InterviewSolution
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InterviewSolution
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The minimum value of the sum of real number `a^(-5),a^(-4),3a^(-3),1,a^8,a n da^(10)w i t ha >0`isA. 6B. 7C. 8D. 9 |
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Answer» Correct Answer - C Using `AMgeGM,` we have `(a^(-5)+a^(-4)+a^(-3)+a^(-3)+a^(-3)+1+a^(8)+a^(10))/(8)` `ge(a^(-5)xxa^(-4)xxa^(-3)xxa^(-3)xxa^(-3)xx1xxa^(8)xxa^(10))^(1//8)` `implies" "(a^(-5)+a^(-4)+3a^(-3)+1+a^(8)+a^(10))/(8)ge1` `implies" "a^(-5)+a^(-4)+3a^(-3)+1+a^(8)+a^(10)ge8` Hence, the minimum value of `a^(-5)+a^(-4)+3a^(-3)+1+a^(8)+a^(10)` is 8. |
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