Dani su realni brojevi
takvi da
i
. Koliku maksimalnu vrijednost može poprimiti izraz
Given real numbers
such that
and
, what is the maximum value the expression
can take?
[lang=hr]
Dani su realni brojevi $a \geqslant b \geqslant c\geqslant d\geqslant e \geqslant 0$ takvi da $a+b \leqslant 5$ i $c+d+e \leqslant 5$. Koliku maksimalnu vrijednost može poprimiti izraz
$$a^2+b^2+c^2+d^2+e^2$$
[/lang]
[lang=en]
Given real numbers $a \geqslant b \geqslant c\geqslant d\geqslant e \geqslant 0$ such that $a+b \leqslant 5$ and $c+d+e \leqslant 5$, what is the maximum value the expression
$$a^2+b^2+c^2+d^2+e^2$$
can take?
[/lang]
