Near what points may the surface  be represented uniquely as a graph of a differentiable function ? Locate such a point.

To represent the surface \( z^2 + xz + y = 0 \) as a graph of a differentiable function \( z = k(x,y) \), we need to ensure that the implicit function theorem applies. According to the implicit function theorem, if the surface satisfies certain conditions, then near certain points, it can indeed be represented ______ __________ _________ ____ ________.
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