Question 121
A number $\alpha$ is a root of the equation $x^3 - 12x + 8 = 0$.
Prove that the number $2 - \frac{4}{\alpha}$ is also a root of this equation.
Prove that the number $2 - \frac{4}{\alpha}$ is also a root of this equation.
MathNet 2016-part-01 — 184 problems (EN–VI) Question 121
Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)