x-1/x=2
x²-2+1/x²=4
x²+1/x²=6
x²+2+1/x²=8
(x+1/x)²=8
x+1/x=±2√2
x-1/x=2
x^2-2x-1=0
x=1±√2
x+1/x=1+√2+1/(1+√2)=2√2
x+1/x=1-√2+1/(1-√2)=-2√2
x+1/x=±2√2
(x+1/x)^2 = (x-1/x)^2+4 = 2^2+4 = 8
x+1/x = ±√8 = ±2√2
x-1/x=2
(x-1/x)^2=4
(x+1/x)^2=8
x+1/x=±2√2
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