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.
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