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x+x^-1=3
x+1/x=3
x+2+1/x=3+2
[x^(1/2)+1/x^(1/2)]^2=5
x^(1/2)+1/x^(1/2)=±√5
x^(3/2)+1/x^(3/2)
=[x^(1/2)+1/x^(1/2)](x-1+1/x)
=±√5*(3-1)
=±2√5
x+1/x=3
x+2+1/x=3+2
[x^(1/2)+1/x^(1/2)]^2=5
x^(1/2)+1/x^(1/2)=±√5
x^(3/2)+1/x^(3/2)
=[x^(1/2)+1/x^(1/2)](x-1+1/x)
=±√5*(3-1)
=±2√5
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