So sánh:2016 x 2014 và 20152
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bạn ko nên trả lời quá nhiều cùng 1 câu hỏi mà kết quả trả lời giống nhau.
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\(x=\frac{-2014}{-2013}=\frac{2014}{2013}>1\)
\(y=\frac{-2015}{-2016}=\frac{2015}{2016}<1\)
vậy x>y
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\(A=2014\times2016=\left(2015-1\right)\times\left(2015+1\right)=2015\times2015-1<2015\times2015=B\)Vậy A < B
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A = \(\frac{2013}{2014}+\frac{2014}{2015}>\frac{1}{2}+\frac{1}{2}=1\)
\(B=\frac{2013+2014+2015}{2014+2015+2016}<1\)
\(Vậy:A>B\)
Đúng nha Nguyễn Bình Minh
so sánh:
\(A=\frac{2013}{2014}+\frac{2014}{2015}+\frac{2015}{2016}\) và\(B=\) \(\frac{2013+2014+2015}{2014+2015+2016}\)
\(B=\frac{2013}{2014+2015+2016}+\frac{2014}{2014+2015+2016}+\frac{2015}{2014+2015+2016}\)
Ta có: \(\frac{2013}{2014}>\frac{2013}{2014+2015+2016}\)
\(\frac{2014}{2015}>\frac{2014}{2014+2015+2016}\)
\(\frac{2015}{2016}>\frac{2015}{2014+2015+2016}\)
\(\Rightarrow\frac{2013}{2014}+\frac{2014}{2015}+\frac{2015}{2016}>\frac{2013+2014+2015}{2014+2015+2016}\)
Vậy: \(A>B\)
\(2016.2014<2015^2\)
Ta có
2014.2016
= 2014.(2015+1)=2014.2015+2014
20152= 2015.2015
= 2015.(2014+1)
=2014.2015+2015
Vì 2014.2015+2015>2014.2015+2014
=> 20152>2014.2016