求分式方程 X+(1÷X)=2 我是这样解的:(两边同乘X):X²+1=2X(两边同-2):X²-1=2X-2(因式分解):(X+1)(X-1)=2(X-1)(两边约掉X-1):X+1=2解得X=1检验,带入原方程,X≠0,但是后面的(X-1
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![求分式方程 X+(1÷X)=2 我是这样解的:(两边同乘X):X²+1=2X(两边同-2):X²-1=2X-2(因式分解):(X+1)(X-1)=2(X-1)(两边约掉X-1):X+1=2解得X=1检验,带入原方程,X≠0,但是后面的(X-1](/uploads/image/z/992731-67-1.jpg?t=%E6%B1%82%E5%88%86%E5%BC%8F%E6%96%B9%E7%A8%8B+X%2B%EF%BC%881%C3%B7X%EF%BC%89%3D2+%E6%88%91%E6%98%AF%E8%BF%99%E6%A0%B7%E8%A7%A3%E7%9A%84%EF%BC%9A%EF%BC%88%E4%B8%A4%E8%BE%B9%E5%90%8C%E4%B9%98X%EF%BC%89%EF%BC%9AX%26sup2%3B%2B1%3D2X%EF%BC%88%E4%B8%A4%E8%BE%B9%E5%90%8C-2%EF%BC%89%EF%BC%9AX%26sup2%3B-1%3D2X-2%EF%BC%88%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%89%EF%BC%9A%28X%2B1%29%28X-1%29%3D2%EF%BC%88X-1%EF%BC%89%EF%BC%88%E4%B8%A4%E8%BE%B9%E7%BA%A6%E6%8E%89X-1%EF%BC%89%EF%BC%9AX%2B1%3D2%E8%A7%A3%E5%BE%97X%3D1%E6%A3%80%E9%AA%8C%2C%E5%B8%A6%E5%85%A5%E5%8E%9F%E6%96%B9%E7%A8%8B%2CX%E2%89%A00%2C%E4%BD%86%E6%98%AF%E5%90%8E%E9%9D%A2%E7%9A%84%28X-1)
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