
求好心人帮帮忙!谢谢了!跪求!先化简,再求值:1/x+1-3-x/x²-6x+9÷x²+x/x-3,其中x=根号2。
2个回答
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1/(x+1)-[(3-x)/(x^2-6x+9)]÷[(x^2+x)/(x-3)]
=1/(x+1)+[(x-3)/(x-3)^2][(x-3)/(x^2+x)]
=1/(x+1)+1/(x^2+x)
=1/(x+1)+1/[x(x+1)]
=(x+1)/[x(x+1)]
=1/x
=1/√2
=√2/2
注:请注意括号的正确使用,以免造成误解。
=1/(x+1)+[(x-3)/(x-3)^2][(x-3)/(x^2+x)]
=1/(x+1)+1/(x^2+x)
=1/(x+1)+1/[x(x+1)]
=(x+1)/[x(x+1)]
=1/x
=1/√2
=√2/2
注:请注意括号的正确使用,以免造成误解。
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