Minimizing a symmetric sum of fractions without calculus – math.stackexchange.com

Minimizing a symmetric sum of fractions without calculus – math.stackexchange.com

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Calculus tools render the minimization of $$\frac{(1-p)^2}{p} + \frac{p^2}{1-p}$$ on the interval $(0,1/2]$ to be a trivial task. But given how much symmetry there is in this expression, I was curious ...

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