(1)化简:(1/a+1+1/a-1)/【2/(a的平方-2a+1)】 (2)求(1)中化简结果比3/a+1大2时a的值.
人气:229 ℃ 时间:2020-02-05 13:31:23
解答
(1)化简:(1/a+1+1/a-1)/【2a/(a的平方-2a+1)】这里是不是少一个a =[(a-1)/(a+1)(a-1)+(a+1)/(a+1)(a-1)]×(a-1)²/2a=2a/(a+1)(a-1)×(a-1)²/2a=(a-1)/(a+1)=(a-1)/(a+1)(2)求(1)中化简结果比...试卷上没加a呀!没加a的话,结果就算不出来了。那结果比较烦(1)化简:(1/a+1+1/a-1)/【2/(a的平方-2a+1)】=[(a-1)/(a+1)(a-1)+(a+1)/(a+1)(a-1)]×(a-1)²/2=2a/(a+1)(a-1)×(a-1)²/2=(a²-a)/(a+1)=(a²-a)/(a+1)(2)求(1)中化简结果比3/a+1大2时a的值。(a²-a)/(a+1)=3/(a+1)+2∴a²-a=3+2a+2a²-3a-5=0∴a=(3+√29)/2 或a=(3-√29)/2不知道有没有学过,只能这样了 请采纳,谢谢
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