已知1/x-1/y=5,求分式3x+5xy-3y/x-3xy-y的值.已知X+1/X=3,求x平方+1/x平方的值.(两
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已知1/x-1/y=5,求分式3x+5xy-3y/x-3xy-y的值.已知X+1/X=3,求x平方+1/x平方的值.(两题的转化的过程?
![已知1/x-1/y=5,求分式3x+5xy-3y/x-3xy-y的值.已知X+1/X=3,求x平方+1/x平方的值.(两](/uploads/image/z/2463872-32-2.jpg?t=%E5%B7%B2%E7%9F%A51%2Fx-1%2Fy%3D5%2C%E6%B1%82%E5%88%86%E5%BC%8F3x%2B5xy-3y%2Fx-3xy-y%E7%9A%84%E5%80%BC.%E5%B7%B2%E7%9F%A5X%2B1%2FX%3D3%2C%E6%B1%82x%E5%B9%B3%E6%96%B9%2B1%2Fx%E5%B9%B3%E6%96%B9%E7%9A%84%E5%80%BC.%EF%BC%88%E4%B8%A4)
1/x-1/y=5
(y-x)/xy=5
(x-y)/xy=-5
(3x+5xy-3y)/(x-3xy-y)
=[3(x-y)+5xy]/[(x-y)-3xy]
=[3(x-y)/xy+5]/[(x-y)/xy-3]
=[3×(-5)+5]/(-5-3)
=(-10)/(-8)
=5/4
x+1/x=3
(x+1/x)²=9
x²+2+1/x²=9
x²+1/x²=7
(y-x)/xy=5
(x-y)/xy=-5
(3x+5xy-3y)/(x-3xy-y)
=[3(x-y)+5xy]/[(x-y)-3xy]
=[3(x-y)/xy+5]/[(x-y)/xy-3]
=[3×(-5)+5]/(-5-3)
=(-10)/(-8)
=5/4
x+1/x=3
(x+1/x)²=9
x²+2+1/x²=9
x²+1/x²=7
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