请大哥帮我解下面的分式方程:1/(x-1)-1/(X+3)=4/(X*X-9)

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请大哥帮我解下面的分式方程:1/(x-1)-1/(X+3)=4/(X*X-9)请大哥帮我解下面的分式方程:1/(x-1)-1/(X+3)=4/(X*X-9)请大哥帮我解下面的分式方程:1/(x-1)-

请大哥帮我解下面的分式方程:1/(x-1)-1/(X+3)=4/(X*X-9)
请大哥帮我解下面的分式方程:1/(x-1)-1/(X+3)=4/(X*X-9)

请大哥帮我解下面的分式方程:1/(x-1)-1/(X+3)=4/(X*X-9)
1/(x-1)-1/(X+3)=4/(X*X-9)
(X+3)-(x-1)=4(x-1)(X+3)/(X+3)(x-3)
4=4(x-1)/(x-3)
x-3=x-1
方程无解,题目有误

解分式方程: 1/(x-1)-1/(X+3)=4/(X²-9)
1/(x-1)=4/(x²-9)+1/(x+3)=[4+(x-3)]/(x²-9)=(x+1)/(x²-9)
x²-9=x²-1,得-9=-1,这当然很荒唐!之所以引出如此荒唐的结果,是因为原方程根本无解!

1/(x-1)-1/(X+3)=4/(X*X-9)
1/(x-1)-1/(x+3)=4/(x-3)(x+3)
(x-3)(x+3)-(x-1)(x-3)=4(x-1)
x²-9-x²+4x-3=4x-4
4x-4x=12-4
∴此方程无解。