Given:
1. N₁=*u*
2. N₂ =*u*
3. N₁ not equal to N₂
4. N₁ x N₂=u***u*
5. The letter u represents a certain digit.
6. All other digits are replaced by an asterisk (*).
7. No u in the partial products.
8. "x" in statement 4 is a multiplication sign.

Please restore the original numbers N₁ and N₂.

Bonus question : Eliminating the 7th condition, do we get additional solutions?