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Ta có: \(\frac{x-2019}{2018}+\frac{x-2018}{2017}=\frac{x-2017}{2016}+\frac{x-2016}{2015}\)
\(\Leftrightarrow\left(\frac{x-2019}{2018}+1\right)+\left(\frac{x-2018}{2017}+1\right)=\left(\frac{x-2017}{2016}+1\right)+\left(\frac{x-2016}{2015}+1\right)\)
\(\Leftrightarrow\frac{x-1}{2018}+\frac{x-1}{2017}=\frac{x-1}{2016}+\frac{x-1}{2015}\)
\(\Leftrightarrow\frac{x-1}{2018}+\frac{x-1}{2017}-\frac{x-1}{2016}-\frac{x-1}{2015}=0\)
\(\Leftrightarrow\left(x-1\right)\left(\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2016}-\frac{1}{2015}\right)=0\)
\(\Leftrightarrow x-1=0\)( vì \(\frac{1}{2018}+\frac{1}{2017}-\frac{1}{2016}-\frac{1}{2015}\ne0\))
\(\Leftrightarrow x=1\)
Vạy x=1
1) 9 x 10 + 10 x 11 + 11 x 12 + ....+ 2015 x 2016
=9x10x11-8x9x10+10x11x12-9x10x11+...+2015x2016x2017-2014x2015x2013
=2015x2016x2017-8x9x10
=8193537360
a) ( x -21 * 13) : 11 = 39 => x - 21*13 = 39 * 11 => x - 273 = 429 => x= 429 + 273 => x= 702 b) ( x - 21) * 13 : 11 = 39 => (x-21)*13=39:11 => (x-21)*13=429 => x-21=429:13 => x-21=33 => x=33+21 => x=54
Bài làm:
(2019-2018+2017-.....-2) x (100 -25x2x2)
=(2019-2018+2017-.....-2) x (100 -25x4)
=(2019-2018+2017-.....-2) x 0
=0
*like phát
=(2019 – 2018 + 2017 – 2016 + 2015 + ....... – 4 + 3 – 2) x(100-25x4)
=(2019 – 2018 + 2017 – 2016 + 2015 + ....... – 4 + 3 – 2) x(100-100)
=(2019 – 2018 + 2017 – 2016 + 2015 + ....... – 4 + 3 – 2) x0
=0
a) 1+2+3+...+2018
=[(2018-1):1+1].(2018+1):2
=2018.2019:2
=2037171
b) 4+7+10+13+...+2017
=[(2017-4):3+1].(2017+4):2
=672.2021:2
=679056
c) 1+2-3-4+5+6-7-8+9+10-11-12+13+14
=(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+13+14
=-4+(-4)+(-4)+13+14
=-12+27
=15
d) 23 x 75 + 25 x 23 + 180
=23 x (75+25) +180
=23 x 100 +180
=2300+180
2480
chúc ban hoc tốt nha
a) Số số hạng: ( 2018 - 1 ) : 1 + 1 = 2018
Tổng: 2018 x ( 2018 + 1 ) : 2 = 2 037 171
\(\frac{2018\cdot2016+2021}{2017\cdot2018+3}\)
\(=\frac{2018\cdot2016+2021}{2016\cdot2018+2018\cdot1+3}\)
\(=\frac{2018\cdot2016+2021}{2016\cdot2018+2021}\)
\(=1\)
