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若x=1/2(根号5-根号2),y=1/2(根号5+根号2)则 1、x^2+2xy+y^2 2、x分之y-y分之x
人气:449 ℃ 时间:2020-07-13 00:09:23
解答
x+y=√5
y-x=√2
xy=3/4
1)
x^2+2xy+y^2
=(x+y)^2
=(√5)^2
=5
2)
y/x-x/y
=(y^2-x^2)/xy
=(y+x)(y-x)/xy
=√5*√2/(3/4)
=4√10/3
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