32÷(x+y)+16÷(x-y)=8
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32÷(x+y)+16÷(x-y)=8
解: 32/(x+y)+16/(x-y)=8
4/(x+y)+2/(x-y)=1
4(x-y)+2(x+y)=(x²-y²)
4x-4y+2x+2y=x²-y²
6x-2y=x²-y²
x²-6x-y²+2y=0
(x²-y²)-2(3x-y)=0
解: 32/(x+y)+16/(x-y)=8
4/(x+y)+2/(x-y)=1
4(x-y)+2(x+y)=(x²-y²)
4x-4y+2x+2y=x²-y²
6x-2y=x²-y²
x²-6x-y²+2y=0
(x²-y²)-2(3x-y)=0
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方程为32÷(x+y)+16÷(x-y)=8,4÷(x+y)+2÷(x-y)=1,6÷(x-y)=1,得:x-y=6
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