Riješite sustav jednadžbi:
![\begin{align*}
x_1+x_2+\ldots +x_n &= 9, \\
\displaystyle{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\ldots +\dfrac{1}{x_n}}&=1,
\end{align*}](/media/m/a/8/e/a8e86e411ef89ba6c7499cec3bd6da9b.png)
gdje je
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
prirodan broj, a
![x_1](/media/m/9/2/a/92aefd356eeab9982f45f21fb206a2ef.png)
,
![x_2](/media/m/a/a/1/aa16f4edacb7b534405242617406658f.png)
,
![\dots](/media/m/3/6/1/36118a223c1f6e75548277354fbabc8a.png)
,
![x_n](/media/m/3/c/5/3c57e4750d576aafa08c9ec1a939cfce.png)
su pozitivni realni brojevi.
%V0
Riješite sustav jednadžbi: $$$\begin{align*}
x_1+x_2+\ldots +x_n &= 9, \\
\displaystyle{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\ldots +\dfrac{1}{x_n}}&=1,
\end{align*}$$$ gdje je $n$ prirodan broj, a $x_1$, $x_2$, $\dots$, $x_n$ su pozitivni realni brojevi.