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先化简,再求值:(3/x-2+2/x+2)÷5x²+2x/x²-4,其中x=3
人气:169 ℃ 时间:2019-11-03 00:37:24
解答
[3/(x-2)+2/(x+2)]÷(5x²+2x)/(x²-4)
=[3/(x-2)+2/(x+2)]*(x²-4)/(5x²+2x)
=[3/(x-2)+2/(x+2)]*(x-2)(x+2)/(5x²+2x)
=3/(x-2)*(x-2)(x+2)/(5x²+2x)+2/(x+2)*(x-2)(x+2)/(5x²+2x)
=3(x+2)/(5x²+2x)+2(x-2)/(5x²+2x)
=[3(x+2)+2(x-2)]/(5x²+2x)
=[3x+6+2x-4]/(5x²+2x)
=[5x+2]/[x(5x+2)]
=1/x
=1/3其中x=3 呢???不是有了吗?不是先算(3/x-2+2/x+2)÷5x²+2x/x²-4, 得数算出后 x=3再代入.真的有吗-我找不到..化简得[3/(x-2)+2/(x+2)]÷(5x²+2x)/(x²-4)=1/x 代入x=3=1/3
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