If x +1÷x =square root of 11 then x power 2+1÷x power 2 =..?
x + 1/x = sqrt(11)
Square both sides
x2 + 2*x*1/x + 1/x2 = 11
x2 + 2 + 1/x2 = 11
x2 + 1/x2 = 9
.