1/(x-3)+1/(x-3)=4/(x²-9)

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1/(x-3)+1/(x-3)=4/(x²-9)

1/(x-3)+1/(x-3)=4/(x²-9)
1/(x-3)+1/(x-3)=4/(x²-9)

1/(x-3)+1/(x-3)=4/(x²-9)
1/(x-3)+1/(x-3)=4/(x²-9)两边同乘 x²-9 得  (x+3)+(x+3)=4
x+3+x+3=4
2x+6=4
2x=-2
x=-1
经检验:……
∴……

经检验,是原方程的根。

你保证题目没错吗?

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两边同乘以x²-9,得
x-3+x+3=4
2x=4
x=2
经检验x=2是方程的根。

解由题得1/(x-3)+1/(x-3)=2/(x-3)=4/(x平方-9)再交叉相乘得x²-2x-3=0即(x-3)(x+1)=0所以x=3或-1