k/(x+1)+3/(x-1)=6/(x^2-1)无解,求k的值

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k/(x+1)+3/(x-1)=6/(x^2-1)无解,求k的值
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k/(x+1)+3/(x-1)=6/(x^2-1)无解,求k的值
k/(x+1)+3/(x-1)=6/(x^2-1)无解,求k的值

k/(x+1)+3/(x-1)=6/(x^2-1)无解,求k的值
通分:
k(x-1)+3(x+1)=6
(k+3)x=k+3
k≠-3时,x=1,此时分母无意义,所以方程无解
k=-3时,x可以取不等于正负1的任意数
所以答案:k≠-3