Neka su
takvi da je
. Odredi najmanju vrijednost izraza
Let
be such that
. Determine the minimum value of the expression
[lang=hr]
Neka su $a,b,c\in\mathbb{R}^+$ takvi da je $a+b+c=1$.
Odredi najmanju vrijednost izraza
\[
\left(a+\frac1a\right)^2+\left(b+\frac1b\right)^2+\left(c+\frac1c\right)^2.
\]
[/lang]
[lang=en]
Let $a, b, c \in \mathbb{R}^+$ be such that $a+b+c=1$.
Determine the minimum value of the expression
\[
\left(a+\frac1a\right)^2+\left(b+\frac1b\right)^2+\left(c+\frac1c\right)^2.
\]
[/lang]
