Question

If x 2 + y 2 +1/x 2 +1/y 2 = 4 then x 2 +y 2 = ???

Answer 1

x 2 + y 2 +1/x 2 +1/y 2 = 4
hence x=1 ,y=1 (one of the solutions)
hence x2+y2= 1+1=2