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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?
人气:248 ℃ 时间:2019-10-10 05:58:20
解答
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
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