用换元法解方程：[8(x^2+2x)/x^2-1]+[3(x^2-1）/x^2+2x]=11,可设y=_______,则原方程变形_数学解答

用换元法解方程：[8(x^2+2x)/x^2-1]+[3(x^2-1）/x^2+2x]=11,可设y=_______,则原方程变形为______________

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解答

用换元法解方程：[8(x^2+2x)/x^2-1]+[3(x^2-1）/x^2+2x]=11,可设y=(x²+2x)/(x²-1),则原方程变形为8y+3÷y=11