Except as otherwise provided in Section 56871, petitions for the dissolution of a district shall be signed as follows:

1. (a) For registered voter districts, by either of the following:

   1. (1) Not less than 10 percent of the registered voters within the district.
   2. (2) Not less than 10 percent of the number of landowners within the district who also own not less than 10 percent of the assessed value of land within the district.
2. (b) For landowner-voter districts, by not less than 10 percent of the number of landowner-voters within the district who also own not less than 10 percent of the assessed value of land within the district.