Arithmetic and geometric means

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The discussion revolves around the concepts of arithmetic mean (AM) and geometric mean (GM), defined by the formulas AM = (a+b)/2 and GM = sqrt(ab). A participant expresses difficulty in solving a related problem and mentions that substituting values has not been effective. Another participant offers a hint by suggesting to let a = cb, indicating a potential approach to simplify the problem. The conversation highlights the challenge of applying these mathematical concepts in problem-solving. Overall, the focus remains on understanding and utilizing AM and GM in a specific context.
deathnote93
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Homework Statement



http://img264.imageshack.us/img264/7505/math.png

Homework Equations



AM = arithmetic mean = (a+b)/2
GM = geometric mean = sqrt(ab)

The Attempt at a Solution


I'm totally stuck on this, substituting does not help at all.
 
Last edited by a moderator:
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Hi deathnote93! :smile:

(have a square-root: √ :wink:)

Hint: Let a = cb.​
 

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