Show more search results on search.php

I currently have “6” as the number of post entries to show on my frontpage of my blog. However, in my search results, I also can only show 6 results.

I am using a template in my theme for search.php, and I want to know if there is some code I can add to OVERRIDE the setting that I make for the frontpage of the site… for example, on my front page, I still want only to display 6 entries, but in the search results, I want to show 20 results…

tks!