解方程x-4/x2+x-2=1/(x-1)+(x-6)/(x2-4)

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解方程x-4/x2+x-2=1/(x-1)+(x-6)/(x2-4)解方程x-4/x2+x-2=1/(x-1)+(x-6)/(x2-4)解方程x-4/x2+x-2=1/(x-1)+(x-6)/(x2-

解方程x-4/x2+x-2=1/(x-1)+(x-6)/(x2-4)
解方程x-4/x2+x-2=1/(x-1)+(x-6)/(x2-4)

解方程x-4/x2+x-2=1/(x-1)+(x-6)/(x2-4)
(x-4)/(x²+x-2)=1/(x-1)+(x-6)/(x²-4)
(x-4)/(x-1)(x+2)=1/(x-1)+(x-6)/(x-2)(x+2)
(x-4)(x-2)=(x-2)(x+2)+(x-6)(x-1)
x²-6x+8=x²-4+x²-7x+6
x²-6x+8-2x²+7x-2=0
x²+x+6=0
△=1²-4×6=-23<0
∴原方程无解