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31 tháng 8 2018

\(\left(\frac{5}{4}-\frac{2}{5}\right)\times\frac{2017}{2018}+\left(\frac{3}{4}-\frac{3}{5}\right)\times\frac{2017}{2018}\)

\(=\left[\left(\frac{5}{4}-\frac{2}{5}\right)+\left(\frac{3}{4}-\frac{3}{5}\right)\right]\times\frac{2017}{2018}\)

\(=\left[\left(\frac{5}{4}+\frac{3}{4}\right)-\left(\frac{2}{5}+\frac{3}{5}\right)\right]\times\frac{2017}{2018}\)

\(=\left[2-1\right]\times\frac{2017}{2018}\)

\(=1\times\frac{2017}{2018}\)

\(=\frac{2017}{2018}\)

31 tháng 8 2018

\(\left(\frac{5}{4}-\frac{2}{5}\right)\cdot\frac{2017}{2018}-\left(\frac{3}{4}-\frac{3}{5}\right)\cdot\frac{2017}{2018}\)

\(=\frac{2017}{2018}\cdot\left(\frac{5}{4}-\frac{2}{5}+\frac{3}{4}-\frac{3}{5}\right)\)

\(=\frac{2017}{2018}.\left(2+-1\right)\)

\(=\frac{2017}{2018}.1=\frac{2017}{2018}\)

a: =>x-2017=0 và y-2018=0

=>x=2017; y=2018

b: =>3x-y=0 và y+2/3=0

=>y=-2/3 và 3x=-2/3

=>x=-2/9 và y=-2/3

c: =>3/4x-1/2=0 và 4/5y+6/25=0

=>x=2/3 và y=-3/10

5 tháng 7 2016

x+2015/5 + x+2016/4=x+2017/3 + x+2018/2

\(\Rightarrow\frac{x+2015}{5}+1+\frac{x+2016}{4}+1=\frac{x+2017}{3}+1+\frac{x+2018}{2}+1\)

\(\Rightarrow\frac{x+2020}{5}+\frac{x+2020}{4}=\frac{x+2020}{3}+\frac{x+2020}{2}\)

\(\Rightarrow\frac{x+2020}{5}+\frac{x+2020}{4}-\frac{x+2020}{3}-\frac{x+2020}{2}=0\)

\(\Rightarrow\left(x+2020\right)\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\)

\(\Rightarrow x+2020=0\).Do \(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\ne0\)

\(\Rightarrow x=-2020\)

19 tháng 8 2018

http://123link.pro/VBTv

30 tháng 1 2018

Do x=2017 nên x+1=2018

Với x+1=2018 thì y trở thành

y= x5-(x+1).x4+(x+1).x3-(x+1).x2+(x+1).x-1

= x5- x5-x4+x4+x3-x3-x2+x-1=x-1

Với x=2017, giá trị biểu thức f(x) là

f(2017)=2017-1=2016

Vậy ...

6 tháng 4 2018

id nhu 1 tro dua

a) \(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\)

\(\Leftrightarrow\frac{x+2015}{5}+\frac{5}{5}+\frac{x+2016}{4}+\frac{4}{4}=\frac{x+2017}{3}+\frac{3}{3}+\frac{x+2018}{2}+\frac{2}{2}\)

\(\Leftrightarrow\frac{x+2020}{5}+\frac{x+2020}{4}=\frac{x+2020}{3}+\frac{x+2002}{2}\)

\(\frac{x+2020}{5}+\frac{x+2020}{4}-\frac{x+2020}{3}-\frac{x+2020}{2}=0\)

\(\Leftrightarrow\left(x+2020\right).\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\)

\(\Leftrightarrow x+2020=0\)

\(\Leftrightarrow x=-2020\)

Vậy : \(x=-2020\)

Chúc bạn học tốt !!

13 tháng 8 2019

a) \(\frac{x+2015}{5}+\frac{x+2016}{4}=\frac{x+2017}{3}+\frac{x+2018}{2}\\ \left(\frac{x+2015}{5}+1\right)+\left(\frac{x+2016}{4}+1\right)=\left(\frac{x+2017}{3}+1\right)+\left(\frac{x+2018}{2}+1\right)\\ \frac{x+2020}{5}+\frac{x+2020}{4}=\frac{x+2020}{3}+\frac{x+2020}{2}\\ \frac{x+2020}{5}+\frac{x+2020}{4}-\frac{x+2020}{3}-\frac{x+2020}{2}=0\\ \left(x+2020\right)\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\\ \Rightarrow x+2020=0\\ \Rightarrow x=-2020\)

Vậy x = -2020

b) \(\frac{x+2015}{5}+\frac{x+2016}{6}=\frac{x+2017}{7}+\frac{x+2018}{8}\\ \left(\frac{x+2015}{5}-1\right)+\left(\frac{x+2016}{6}-1\right)=\left(\frac{x+2017}{7}-1\right)+\left(\frac{x+2018}{8}-1\right)\\ \frac{x+2010}{5}+\frac{x+2010}{6}=\frac{x+2010}{7}+\frac{x+2010}{8}\\ \frac{x+2010}{5}+\frac{x+2010}{6}-\frac{x+2010}{7}-\frac{x+2010}{8}=0\\ \left(x+2010\right)\left(\frac{1}{5}+\frac{1}{6}-\frac{1}{7}-\frac{1}{8}\right)=0\\ \Rightarrow x+2010=0\\ \Rightarrow x=-2010\)

Vậy x = -2010