x x 2019 - x = 2018 x 2018 + 2018
Ai nhanh, đúng và chính xác nhất mik tick ^^
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26 x 84 + 74 x 85
= 26 x 84 + 74 x 84 + 74
= 84 x (26 + 74) + 74
= 84 x 100 + 74
= 840 + 74
= 914
\(\frac{2017\times2018+2019}{2019\times2018-2017}\)
= \(\frac{2019\times2018-2\times2018+2019}{2019\times2018-2017}\)
= \(\frac{2019\times2018-4036+2019}{2019\times2018-2017}\)
= \(\frac{2019\times2018-2017}{2019\times2018-2017}\)
= 1
\(\frac{x-4}{2021}+\frac{x-3}{2020}=\frac{x-2}{2019}+\frac{x-1}{2018}\)
\(\Leftrightarrow\left(\frac{x-4}{2021}+1\right)+\left(\frac{x-3}{2020}+1\right)=\left(\frac{x-2}{2019}+1\right)+\left(\frac{x-1}{2018}+1\right)\)
\(\Leftrightarrow\frac{x+2017}{2021}+\frac{x+2017}{2020}=\frac{x+2017}{2019}+\frac{x+2017}{2018}\)
\(\Leftrightarrow\frac{x+2017}{2021}+\frac{x+2017}{2020}-\frac{x+2017}{2019}-\frac{x+2017}{2018}=0\)
\(\Leftrightarrow\left(x+2017\right)\left(\frac{1}{2021}+\frac{1}{2020}-\frac{1}{2019}-\frac{1}{2018}\right)=0\)
Mà \(\left(\frac{1}{2021}+\frac{1}{2020}-\frac{1}{2019}-\frac{1}{2018}\right)\ne0\)
\(\Leftrightarrow x+2017=0\)
\(\Leftrightarrow x=-2017\)
Vậy ..
=> (x-4/2021 +1) + (x-3/2020 +1) = (x-2/2019 +1)+ (x-1/2018 +1)
=> x+2017/2021 + x+2017/2020 = x+2017/2019 + x+2017/2018
=> x+2017/2018 + x+2017/2018 - x+2017/2020 - x+2017/2021 = 0
=> (x+2017).(1/2018+1/2019+1/2020+1/2021) = 0
=> x+2017 = 0 ( vì 1/2018+1/2019+1/2020+1/2021 > 0 )
=> x=-2017
Vậy x=-2017
k mk nha
a, 2x+2y/x+y=2
=> 2(x+y)/x+y=2
=>2/1=2
=> đpcm
Câu b thì mình nghĩ nó không thể bằng được đâu bạn
\(\hept{\begin{cases}\left(x+1\right)^{2018}\ge0\\\left|y-1\right|\ge0\end{cases}}\Rightarrow\left(x+1\right)^{2018}+\left|y-1\right|\ge0\)
dấu = xảy ra khi \(\hept{\begin{cases}\left(x+1\right)^{2018}=0\\\left|y-1\right|=0\end{cases}}\Rightarrow\hept{\begin{cases}x+1=0\\y-1=0\end{cases}\Rightarrow\hept{\begin{cases}x=-1\\y=1\end{cases}}}\)
\(P=x^{2019}.y^{2018}=\left(-1\right)^{2019}.1^{2018}=-1.1=-1\)
\(\dfrac{2020}{2019}-\dfrac{2019}{2018}+\dfrac{1}{2019}x2018\)
\(=\dfrac{2020}{2019}-\dfrac{2019}{2018}+\dfrac{2018}{2019}=2-\dfrac{2019}{2018}=\dfrac{2017}{2018}\)
Ta có : x = 99
=> 100 = x + 1
Thay vào A ta có : A = x2018 - 100x2017 + 100x2016 - ...... + 100x2 - 100x + 2019
=> A = x2018 - (x + 1)x2017 + (x + 1)x2016 - ...... + (x + 1)x2 - (x + 1)x + 2019
=> A = x2018 - x2018 - x2017 + x2017 + x2016 -.......+ x3 + x2 - x2 + x + 2019
=> A = x + 2019
=> A = 99 + 2019
=> A = 2118
P/s : ko cần ! :D
Theo đề bài ra ta có :
x = 99
Thay vào A ta có :
A = x2018 - 100x2017 + 100x2016 - ... + 100x2 - 100x + 2019
\(\Rightarrow\) A = x2018 - ( x + 1 ) x2017 + ( x + 1 ) x2016 - ... + ( x + 1 ) x2 - ( x + 1 ) x + 2019
\(\Rightarrow\) A = x2018 - x2018 - x2017 + x2017 + x2016- ... + x3 + x2 - x2 + x + 2019
\(\Rightarrow\) A = x + 2019
\(\Rightarrow\) A = 99 + 2019
\(\Rightarrow\) A = 2118
\(x\times2019-x=2018\times2018+2018\)
\(x\times\left(2019-1\right)=2018\times\left(2018+1\right)\)
\(x\times2018=2018\times2019\)
\(\Rightarrow x=2019\)
X x 2019 - x =2018 x 2018 + 2018
X x(2019-1) = 2018 x(2018 + 1)
X x 2018 = 2018 x 2019
=> X=2019
Vậy X=2019.