解方程 x/(x+2)+(x+2)/(x-2)=8/(x^2-4)

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解方程x/(x+2)+(x+2)/(x-2)=8/(x^2-4)解方程x/(x+2)+(x+2)/(x-2)=8/(x^2-4)解方程x/(x+2)+(x+2)/(x-2)=8/(x^2-4)x/(x

解方程 x/(x+2)+(x+2)/(x-2)=8/(x^2-4)
解方程 x/(x+2)+(x+2)/(x-2)=8/(x^2-4)

解方程 x/(x+2)+(x+2)/(x-2)=8/(x^2-4)
x/(x+2)+(x+2)/(x-2)=8/(x^2-4) (x^2-2x+x^2+4x+4)/(x^2-4)=8/(x^2-4) x^2+x-2=0 x=1,x=-2(舍去)

两边×(x-4) x(x-2)+(x+2)=8 x-2x+x+4x+4=8 2x+2x-4=0 x+x-2=0 (x-1)(x+2)=0 x=1或x=2(是增根,舍去) 所以x=1