若x=(1-√5)/2,则√(1/x-1/x^3)-3^√(x^4-x^2)的值

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若x=(1-√5)/2,则√(1/x-1/x^3)-3^√(x^4-x^2)的值若x=(1-√5)/2,则√(1/x-1/x^3)-3^√(x^4-x^2)的值若x=(1-√5)/2,则√(1/x-1

若x=(1-√5)/2,则√(1/x-1/x^3)-3^√(x^4-x^2)的值
若x=(1-√5)/2,则√(1/x-1/x^3)-3^√(x^4-x^2)的值

若x=(1-√5)/2,则√(1/x-1/x^3)-3^√(x^4-x^2)的值
1/x=2/(1-√5)=-(1+√5)/2
x+1/x=-√5,x-1/x=1
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(1/x-1/x^3)^(1/2)-(x^4-x^2)^(1/3)
=[(x-1/x)/x^2]^(1/2)-[x^3(x-1/x)]^(1/3)
=(x-1/x)^(1/2)*x^(-1)-x*(x-1/x)^(1/3)
=-1/x-x
=-(1/x+x)
=v5

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