A and B
B=A+1 but don't substitute yet.
Idea:
((A+B)/2)=sqrt(A*B)
sqr both sides.
(A2+2AB+B2)/4=AB
mult. by 4
A2+2AB+B2=4AB
sub. 2AB
A2+B2=2AB
[Not done yet...]
But watch this:
(A2+B2)-(2AB)=1
It always works for B=A+1, ALWAYS.
I substituted and found nothing special about this, but it's still cool.



