(x-2)/(x+2)=(x+2)/(x-2)+16/(x平方-4)

问题描述:

(x-2)/(x+2)=(x+2)/(x-2)+16/(x平方-4)

原式=(x-2)^2/(x^2-4)-(x+2)^2/(x^2-4)-16/(x^2-4)=0
(x-2)^2-(x+2)^2-16=x^2-4
x^2+8x+12=0
(x+2)(x+6)=0
解得: x=-6或x=-2
因为x不等于2或-2
所以方程解得x=-6