Clara organizes cans in triangular piles, where each row has one less can than the row below. for example, the pile of 15 cans has 5 cans in the bottom row and 4 cans in the row above it.

(a) there are 3240 cans in a pile. how many cans are in the bottom row?

(b) (i) there are s cans and they are organized in a triangular pile with 'n' cans in the bottom row. show that n^2 +n - 2s= 0

(ii) clara has 2100 cans. explain why she cant organize them in a triangular pile.