SOLUTION: if x+1/x= 2 then what is the value of x^3+1/x^2

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Question 820834: if x+1/x= 2 then what is the value of x^3+1/x^2
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
x+1/x= 2 is true if x=1, so that means x^3+1/x^2=2 as well. Take a look:

%28x%2B1%2Fx%29x=+2x

x%5E2%2B1=2x
x%5E2-2x%2B1=0

%28x-1%29%5E2=0

sqrt%28x-1%29%5E2=sqrt%280%29

x-1=0

x=1