Y by Adventure10, Mango247
(1) Find the possible number of roots for the equation
, where
and
is parameter.
(2) Let
be an arithmetic progression,
, and satisfy the condition
![\[ \sum^{n}_{i=1}|a_i| = \sum^{n}_{i=1}|a_{i} + 1| = \sum^{n}_{i=1}|a_{i} - 2| = 507. \]](//latex.artofproblemsolving.com/7/7/2/7723ed97373f545f14d0b46c0034dab7d7daecf4.png)
Find the maximum value of
.



(2) Let


![\[ \sum^{n}_{i=1}|a_i| = \sum^{n}_{i=1}|a_{i} + 1| = \sum^{n}_{i=1}|a_{i} - 2| = 507. \]](http://latex.artofproblemsolving.com/7/7/2/7723ed97373f545f14d0b46c0034dab7d7daecf4.png)
Find the maximum value of
