x²+1/x²-3(x+1/x)+2=0(x+1/x)²-3(x+1/x)=0(x+1/x)(x+1/x-3)=0x+1/x=0 x²=-1(舍去）x+1/x-3=0 x²+1-3x=0(x-3/2)²=-1+(3/2)²x-3/2=±(√5)/2x=(3+√5)/2或x=(3-√5)/2