数学神马的找揍2(x^2 + 1/x^2)-(x + 1/x) =0x2-(1+√33)x/4+1=0

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数学神马的找揍2(x^2 + 1/x^2)-(x + 1/x) =0x2-(1+√33)x/4+1=0

数学神马的找揍2(x^2 + 1/x^2)-(x + 1/x) =0x2-(1+√33)x/4+1=0
数学神马的找揍
2(x^2 + 1/x^2)-(x + 1/x) =0
x2-(1+√33)x/4+1=0

数学神马的找揍2(x^2 + 1/x^2)-(x + 1/x) =0x2-(1+√33)x/4+1=0
a=x+1/x
a²=x²+2+1/x²
x²+1/x²=a²-2
则2(a²-2)-a=6
2a²-a-10=0
(2a-5)(a+2)=0
a=5/2,a=-2
x+1/x=5/2
2x²-5x+2=(2x-1))(x-2)=0
x=1/2,x=2
x+1/x=-2
x²+2x+1=(x+1)²=0
x=-1
所以x=1/2,x=2,x=-1