1/(x-4)=4/(x²-16) (急)
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![1/(x-4)=4/(x²-16) (急)](/uploads/image/z/2556804-12-4.jpg?t=1%2F%28x-4%29%3D4%2F%28x%26%23178%3B-16%29+%EF%BC%88%E6%80%A5%EF%BC%89)
1/(x-4)=4/(x²-16) (急)
1/(x-4)=4/(x²-16) (急)
1/(x-4)=4/(x²-16) (急)
1/(x-4)=4/(x+4)(x-4)
两边乘(x+4)(x-4)
x+4=4
x=0
经检验,x=0是方程的解
通分得
两边乘x²-16
x²-16=4(x-4)
(x-4)(x+4)=4(x-4)
(x+4)=4
x=0
经检验,x=0是原方程的解