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8/(X—Y)+48/(X+Y)=1024/(X+y)+14/(x—y)=10仔细分步解决,谢谢
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8/(X—Y)+48/(X+Y)=10 24/(X+y)+14/(x—y)=10 仔细分步解决,谢谢
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答案和解析
8/(X—Y)+48/(X+Y)=10
分子分母同乘以(x+y)(x-y)
8(x+y)+48(x-y)=10(x+y)(x-y)
56x-40y=10x^2-10y^2
24/(X+y)+14/(x—y)=10
分子分母同乘以(x+y)(x-y)
24(x-y)+14(x+y)=10(x+y)(x-y)
38x-10y=10x^2-10y^2
56x-40y=38x-10y
18x=30y
x=5/3y
代入上式得
56x-40y=10x^2-10y^2
56X5/3y-40y=10(5/3y)^2-10y^2
160/3y=160/9y^2
3y=y^2
y=0或者y=3
当y=0时x=0
根据题目,x+y和x-y不能等于0
所以y=3
x=5
分子分母同乘以(x+y)(x-y)
8(x+y)+48(x-y)=10(x+y)(x-y)
56x-40y=10x^2-10y^2
24/(X+y)+14/(x—y)=10
分子分母同乘以(x+y)(x-y)
24(x-y)+14(x+y)=10(x+y)(x-y)
38x-10y=10x^2-10y^2
56x-40y=38x-10y
18x=30y
x=5/3y
代入上式得
56x-40y=10x^2-10y^2
56X5/3y-40y=10(5/3y)^2-10y^2
160/3y=160/9y^2
3y=y^2
y=0或者y=3
当y=0时x=0
根据题目,x+y和x-y不能等于0
所以y=3
x=5
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