Maximize $b-\sqrt{x'Qx}$

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What kind of optimization problem is the maximization of $b-\sqrt{x'Qx}$ over $x$, where $b\in \mathbb{R}$, $x$ is a $n \times 1$ matrix and Q an $n \times n $ matrix, and given some $=$ and $\leq$ constraints. Is it a NLP or quadratic programming problem?