Q14 of SMO 2020 Senior (Cauchy Inequality)

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#matholympiad #SMO #SMO2020

Singapore Mathematical Olympiad (SMO) Senior 2020.

This question is regarding inequality. It can be solved using Cauchy Inequality. It is suitable for beginners.

SMO Senior 2020 paper can be found here:

Check it out and have fun!
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I like this kind of problem, that is, the maximum or minimum value does not appear when x=y, which means that we can't just guess.
I used Cauchy's inequality in the video, but I think there are at least 3 different ways to solve it.
Let's discuss!

chanlyelee