Školjka

%V0 Find the roots $r_i \in \mathbb{R}$ of the polynomial $$p(x) = x^n + n \cdot x^{n-1} + a_2 \cdot x^{n-2} + \ldots + a_n$$ satisfying $$\sum^{16}_{k=1} r^{16}_k = n.$$