Question 92
The polynomial $x^{3}-3 x^{2}+1$ has three real roots $r_{1}$, $r_{2}$, and $r_{3}$. Compute
$$
\sqrt[3]{3 r_{1}-2}+\sqrt[3]{3 r_{2}-2}+\sqrt[3]{3 r_{3}-2}
$$
$$
\sqrt[3]{3 r_{1}-2}+\sqrt[3]{3 r_{2}-2}+\sqrt[3]{3 r_{3}-2}
$$
MathNet 2019-part-08 — 179 problems (EN–VI) Question 92
Math Olympiad Vault · MathNet 2019-part-08 — 179 problems (EN–VI)