1/x²+1/x-2=0化简

1/x²+1/x-2=0化简
1/x²+1/x-2=0化简

1/x²+1/x-2=0化简
1/x²+1/x-2=0
乘以x²得
1+x-2x²=0
2x²-x-1=0
(x-1)(2x+1)=0
x-1=0 或 2x+1=0
x=1 或 x=-1/2

1/x²+1/x-2=0
设1/x=a
则：a²+a-2=0
解得：a=-2或a=1
∴1/x=-2①
或1/x=1②
解得：x[1]=-1/2，x[2]=1