Question 80
Let $r_{1}, \ldots, r_{n}$ be the distinct real zeroes of the equation
$$
x^{8}-14 x^{4}-8 x^{3}-x^{2}+1=0
$$
Evaluate $r_{1}^{2}+\cdots+r_{n}^{2}$.
$$
x^{8}-14 x^{4}-8 x^{3}-x^{2}+1=0
$$
Evaluate $r_{1}^{2}+\cdots+r_{n}^{2}$.
MathNet 2015-part-07 — 185 problems (EN–VI) Question 80
Math Olympiad Vault · MathNet 2015-part-07 — 185 problems (EN–VI)