若x满足x²-5x-1=0,则x-1/x=?

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若x满足x²-5x-1=0,则x-1/x=?
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若x满足x²-5x-1=0,则x-1/x=?
若x满足x²-5x-1=0,则x-1/x=?

若x满足x²-5x-1=0,则x-1/x=?
x²-5x-1=0,
两边除以x得
x -5 -1/x=0
∴x -1/x=5

等式两边除以x
x-5-1/x=0
x-1/x=5