x-2/x+2-16/x^2-4=x+2/x-2用换元法解如题,(x-2)/(x+2)+ 16/(x^2-4) = (x+2)/(x-2) 用换元法怎么解?

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x-2/x+2-16/x^2-4=x+2/x-2用换元法解如题,(x-2)/(x+2)+ 16/(x^2-4) = (x+2)/(x-2) 用换元法怎么解?

x-2/x+2-16/x^2-4=x+2/x-2用换元法解如题,(x-2)/(x+2)+ 16/(x^2-4) = (x+2)/(x-2) 用换元法怎么解?
x-2/x+2-16/x^2-4=x+2/x-2用换元法解
如题,(x-2)/(x+2)+ 16/(x^2-4) = (x+2)/(x-2) 用换元法怎么解?

x-2/x+2-16/x^2-4=x+2/x-2用换元法解如题,(x-2)/(x+2)+ 16/(x^2-4) = (x+2)/(x-2) 用换元法怎么解?
去分母得
(x-2)²+16=(x+2)²
x²-4x+4+16=x²+4x+4
∴8x=16
x=2
检验:x=2是增根
这个不能换元