Question 972223
n is any integer number.


{{{(2n+1)^2+(2n+3)^2+(2n+5)^2+(2n+7)^2=36}}}, and you are asked for what is  {{{(2n+7)-(2n-1)}}}.




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To be sure,
{{{4n^2+4n+1+4n^2+12n+9+4n^2+20n+25+4n^2+28n+49=36}}}
{{{16n^2+64n+84=36}}}
{{{16n^2+64n+48=0}}}
{{{n^2+4n+3=0}}}
{{{(n+1)(n+3)=0}}}
n is either -1 or -3.
NOT both at the same time:  Must be one or the other.


Taking n=-1,
largest integer of the set:2(-1)+7=5.
smallest integer of the set:   2(-1)+1=-1.
DIFFERENCE REQUESTED:  {{{highlight(6)}}}.
Taking n=-3,
DIFFERENCE REQUESTED:  {{{(2(-3)+7)-(2(-3)+1)=1-(-5)=highlight(6)}}}.