What would the ring $\mathbb{Z}[x,y]/(x^2-y)$ look like?

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What would the ring $\mathbb{Z}[x,y]/(x^2-y)$ look like? And also what would the ring $\mathbb{Z}[x,y]/(x^3-x-y^2)$ look like?

These are two sorts of rings I have been curious about.