设x大于1,y大于0,x^y+x^-y=2根号二,x^y-x^-y等于?

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设x大于1,y大于0,x^y+x^-y=2根号二,x^y-x^-y等于?设x大于1,y大于0,x^y+x^-y=2根号二,x^y-x^-y等于?设x大于1,y大于0,x^y+x^-y=2根号二,x^y

设x大于1,y大于0,x^y+x^-y=2根号二,x^y-x^-y等于?
设x大于1,y大于0,x^y+x^-y=2根号二,x^y-x^-y等于?

设x大于1,y大于0,x^y+x^-y=2根号二,x^y-x^-y等于?

等式两边平方,减4,再开方,得结果是2

x^y×x^(-y)=1
x^y+x^(-y)=2✓2
x^2y+2+x^(-2y)=8
x^2y-2+x^(-2y)=4
x^y-x^(-y)=2