
已知x=1/3-2√2,y=1/3+2√2,求代数式(x/y)+(y/x)-4的值
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x=1/3-2根号2,Y=1/3+2根号2
xy=1/9-8=-71/9
X^2+Y^2=(x+y)^2-2xy=(1/3-2根号2+1/3-2根号2)^2-2xy=4/9+142/9=146/9
x/y+y/x-4
=(x^2+y^2)/(xy)-4
=(146/9)/(-71/9)-4
=-146/71-4
=-430/71
xy=1/9-8=-71/9
X^2+Y^2=(x+y)^2-2xy=(1/3-2根号2+1/3-2根号2)^2-2xy=4/9+142/9=146/9
x/y+y/x-4
=(x^2+y^2)/(xy)-4
=(146/9)/(-71/9)-4
=-146/71-4
=-430/71
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