>By curiosity, one server is holding the database and the Web application that queries it. If I offload the database from that server and put it into a dedicated server, will having two servers to respond to the Web application + one dedicated database server, will improve performance?

Michel,

It may and it may not. The only way to really know is to try it.

The issue is whether or not the current server is pegged on cpu utilization or disk access. If the current server is not pegged then the splitting may cause almost no change in performance. However, splitting will provide for scaling to a higher load without losing performance.