We know that the product of two spectral topological spaces is spectral.

- If $X$ is the underlying space of the scheme $\mathrm{Spec}\,\mathbb{Z}[x]$, what is a simple example of an affine scheme whose underlying space is $X\times X$?
- If $X$ is the underlying space of the scheme $\mathrm{Spec}\,\mathbb{C}[x]$, what is a simple example of an affine scheme whose underlying space is $X\times X$?