X+1/X=A+1/A的根为A 和1/A则X+Z/X-1=A+1/A-1的根为

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X+1/X=A+1/A的根为A 和1/A则X+Z/X-1=A+1/A-1的根为

X+1/(X-1)=A+1/(A-1)
X-1+1/(X-1)=A-1+1/(A-1)
X-1=A-1 X-1=1/(A-1)
X=A X=A/(A-1)