Let 's consider S -LSB- math -RSB- _ -LCB- n -RCB- -LSB- / math -RSB- = n -LSB- math -RSB- ^ -LCB- 2 -RCB- -LSB- / math -RSB- + 20n +12 . So can you find the sum of all possible n for which S -LSB- math -RSB- _ -LCB- n -RCB- -LSB- / math -RSB- is a perfect square ?
Let -LSB- math -RSB- S _ -LCB- n -RCB- = n ^ -LCB- 2 -RCB- + 20n + 12 -LSB- / math -RSB- , where -LSB- math -RSB- n -LSB- / math -RSB- is a positive integer . What is the sum of all possible values of n for which -LSB- math -RSB- S _ -LCB- n -RCB- -LSB- / math -RSB- is a perfect square ?