作业帮(x-2)/(x+2)-16/(x²-9)=(x+2)/(x-2)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/06 07:52:30
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(x-2)/(x+2)-16/(x²-9)=(x+2)/(x-2)
(x-2)/(x+2)-16/(x²-9)=(x+2)/(x-2)
(x-2)/(x+2)-16/(x²-9)=(x+2)/(x-2)
原式可化为：(x-2)/(x+2)-16/(x²-9)-(x+2)/(x-2)=0
即：(x-2)/(x+2)-16/(x²-9)-(x+2)/(x-2)=[(x-2)²-(x+2)²]/(x²-4)-16/(x²-9)
=-8x/(x²-4)-16/(x²-9)
=[-8x(x²-9)-16(x²-4)]/(x²-4)(x²-9)
=(-8x^3+56x²-64)/(x²-4)(x²-9)
=-8(x+8)(x²-1)/(x²-4)(x²-9)=0
所以x=1或x=-1或x=-8
如有问题,
=x-2