Problem. Consider real numbers $$$x, y, z$$$ satisfying $$$x^2 + y^2 + z^2 - \frac{1}{9}xy = 3$$$ and $$$xy + yz + zx \ge 0$$$. Find the minimum value of the expression:
Feel free to share your solutions and thoughts in the comments.
Problem. Consider real numbers $$$x, y, z$$$ satisfying $$$x^2 + y^2 + z^2 - \frac{1}{9}xy = 3$$$ and $$$xy + yz + zx \ge 0$$$. Find the minimum value of the expression:
Feel free to share your solutions and thoughts in the comments.
Комментарии (0)
| № | Пользователь | Рейтинг |
|---|---|---|
| 1 | jiangly | 3810 |
| 2 | Benq | 3676 |
| 3 | Kevin114514 | 3655 |
| 4 | maroonrk | 3463 |
| 5 | strapple | 3390 |
| 6 | Um_nik | 3387 |
| 7 | tourist | 3384 |
| 8 | heuristica | 3322 |
| 9 | turmax | 3319 |
| 10 | jiangbowen | 3291 |
| Страны | Города | Организации | Всё → |
| № | Пользователь | Вклад |
|---|---|---|
| 1 | Qingyu | 155 |
| 2 | nik_exists | 150 |
| 2 | maspy | 150 |
| 4 | Um_nik | 143 |
| 5 | AmShZ | 142 |
| 6 | Errichto | 139 |
| 7 | adamant | 137 |
| 8 | maroonrk | 134 |
| 9 | BledDest | 132 |
| 10 | qwexd | 129 |
