Question 820834
x+1/x= 2 is true if x=1, so that means  x^3+1/x^2=2 as well. Take a look:


{{{(x+1/x)x= 2x}}}


{{{x^2+1=2x}}}

{{{x^2-2x+1=0}}}


{{{(x-1)^2=0}}}


{{{sqrt(x-1)^2=sqrt(0)}}}


{{{x-1=0}}}


{{{x=1}}}