x方+3/x-4x/x方+3=3用换元法解

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x方+3/x-4x/x方+3=3用换元法解x方+3/x-4x/x方+3=3用换元法解x方+3/x-4x/x方+3=3用换元法解a=(x²+3)/xa-4/a=3a²-3a-4=(a

x方+3/x-4x/x方+3=3用换元法解
x方+3/x-4x/x方+3=3用换元法解

x方+3/x-4x/x方+3=3用换元法解
a=(x²+3)/x
a-4/a=3
a²-3a-4=(a-4)(a+1)=0
(x²+3)/x=4
x²-4x+3=(x-1)(x-3)=0
x=1,x=3
(x²+3)/x=-1
x²+x+3=0
无解
x=1,x=3