Question 139
Prove that every positive real number $y$ satisfies
$$
2 y \geq 3-\frac{1}{y^{2}}
$$
When does equality occur?
$$
2 y \geq 3-\frac{1}{y^{2}}
$$
When does equality occur?
MathNet 2026 — Part 10 Question 139
Math Olympiad Vault · MathNet 2026 — Part 10