解方程 x² -6/x-4 + 2(x-4)/x² -6 =3

答：(x^2-6)/(x-4)+2(x-4)/(x^2-6)=3设：m=(x^2-6)/(x-4)则原方程化为：m+2/m=3m^2-3m+2=0(m-1)(m-2)=0m=1或者m=21）m=(x^2-6)/(x-4)=1x^2-6=x-4x^2-x-2=0(x-2)(x+1)=0x=-1或者x=22）m=(x^2-6)/(x-4)=2x^2-6=2x-8x^2...