X^2+1/x^2 - 2(x+1/x)-1=0
(X+1/X)^2-2(X+1/X)-3=0
x+1/x=Y
Y^2-2Y-3=0
(Y-3)(Y+1)=0
1)
Y=3
X+1/X-3=0
X^2-3X+1=0
X=(3±√5)/2
2)Y=-1
X^2+X+1=0
△
用換元法解分式方程X^2+1/x - 2(x+1/x)-1=0
用換元法解分式方程X^2+1/x - 2(x+1/x)-1=0
其他人氣:476 ℃時間:2020-03-26 06:24:04
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