计算:(x-1/x)平方-3x+3/x+2=0

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计算:(x-1/x)平方-3x+3/x+2=0
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计算:(x-1/x)平方-3x+3/x+2=0
计算:(x-1/x)平方-3x+3/x+2=0

计算:(x-1/x)平方-3x+3/x+2=0
(x-1/x)平方-3x+3/x+2=0
(x-1/x)^2-3(x-1/x)+2=0
(x-1/x-2)(x-1/x-1)=0
(x-1/x-2)=0或(x-1/x-1)=0
(1) x-1/x-2=0
x^2-2x-1=0
用公式法解得
x=2±√2^2+4*1/2=1±√2
(2)x-1/x-1=0
x^2-x-1=0
用公式法解得
x=1±√1+4*1/2=1±√5/2