if x+1/x=2, find x-1/x
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x+1/x=2
x^2+1/x=2
X^2+1=2x
x^2-2x+1=0
x^2-x-x+1=0
(x-1)(x-1)=0
x=1
X-1/x=1-1/1=0
x^2+1/x=2
X^2+1=2x
x^2-2x+1=0
x^2-x-x+1=0
(x-1)(x-1)=0
x=1
X-1/x=1-1/1=0
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