Find the number of solutions, in positive real numbers, to the system x1+1x2=4,x2+1x3=1,x3+1x4=4,x4+1x5=1,…,x99+1x100=4,x100+1x1=1.
Adding up all the equations and using an AM-GM estimate, we get that the system has no solutions.
Its not right
Spot the pattern:
... etc.
thanks!