若x^2-5x+1=0,则x^2+1/x^2=_______

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若x^2-5x+1=0,则x^2+1/x^2=_______
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若x^2-5x+1=0,则x^2+1/x^2=_______
若x^2-5x+1=0,则x^2+1/x^2=_______

若x^2-5x+1=0,则x^2+1/x^2=_______
x^2+1/x^2=23

x^2-5x+1=0,则x-5+1/x=0则x+1/x=5
(x+1/x)²=x²+2+1/x²=5²
所以x²+1/x²=23

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