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Let $x$ be a variable (positive integer), and $A, s, B$ constants. Then I want to know the way to minimize $xA + \sqrt[x]{s}B$. How can we solve it? All of $A, B, s$ are positive integers. The following conditions hold $A > B$ and $ x < s$.

mallea
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  • That depends on what A, B and s can be. Are they real numbers? Are A and B Positive or negative? The power function is monotonically increasing with s no matter what x you choose. I’m no expert but I think there’s a few details missing... – Infinity77 Sep 21 '20 at 20:03
  • @Infinity77 Hello, I added the details. Thanks – mallea Sep 22 '20 at 05:42

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