若x+xˆ-1=4,求xˆ2+x•xˆ-1+xˆ-2
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若x+xˆ-1=4,求xˆ2+x•xˆ-1+xˆ-2
若x+xˆ-1=4,求xˆ2+x•xˆ-1+xˆ-2
若x+xˆ-1=4,求xˆ2+x•xˆ-1+xˆ-2
答:
x+1/x=4
x^2+x*1/x+1/x^2
=(x+1/x)^2-1
=4^2-1
=15