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化简,求值:(1/x+y)+(1/x-y)除以(2x/x^2-2xy+y^2)其中x=根号3,y=负根号2
人气:496 ℃ 时间:2020-06-20 04:40:35
解答
(x-y+x+y)/(x^2-y^2)*((x-y)^2/2x)
=2x/(x-y)(x+y)*((x-y)^2/2x)
=(x-y)/(x+y)
x=根号3,y=负根号2
原式=(根号3+根号2)/(根号3-根号2)
= (根号3+根号2)^2/(3-2)
=(3+2+2根号6)/1
=5+2根号6
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