Đề bài: tìm x thuộc Q biết:
x+1/2018+x+1/2019+x+1/2020+x+1/2021=0
Làm nhanh giúp mik^^
tìm x biết:
(x+1)/2018+(x+1)/2019+(x+1)/2020+(x+1)/2021
Giúp mk nhanh vs nhé các bn
TÌM X BIẾT:
\(\frac{x-4}{2021}+\frac{x-3}{2020}=\frac{x-2}{2019}+\frac{x-1}{2018}\)
HELP ME!!
Ai nhanh và đúng mik tick.
\(\frac{x-4}{2021}+\frac{x-3}{2020}=\frac{x-2}{2019}+\frac{x-1}{2018}\)
\(\Leftrightarrow\left(\frac{x-4}{2021}+1\right)+\left(\frac{x-3}{2020}+1\right)=\left(\frac{x-2}{2019}+1\right)+\left(\frac{x-1}{2018}+1\right)\)
\(\Leftrightarrow\frac{x+2017}{2021}+\frac{x+2017}{2020}=\frac{x+2017}{2019}+\frac{x+2017}{2018}\)
\(\Leftrightarrow\frac{x+2017}{2021}+\frac{x+2017}{2020}-\frac{x+2017}{2019}-\frac{x+2017}{2018}=0\)
\(\Leftrightarrow\left(x+2017\right)\left(\frac{1}{2021}+\frac{1}{2020}-\frac{1}{2019}-\frac{1}{2018}\right)=0\)
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
\(\frac{x-4}{2021}+\frac{x-3}{2020}=\frac{x-2}{2019}+\frac{x-1}{2018}\)
\(\left(\frac{x-4}{2021}+1\right)+\left(\frac{x-3}{2020}+1\right)=\left(\frac{x-2}{2019}+1\right)+\left(\frac{x-1}{2018}+1\right)\)
\(\frac{x-2017}{2021}+\frac{x-2017}{2020}=\frac{x-2017}{2019}+\frac{x-2017}{2018}\)
\(\frac{x-2017}{2021}+\frac{x-2017}{2020}-\frac{x-2017}{2019}-\frac{x-2017}{2018}=0\)
\(\left(x-2017\right).\left(\frac{1}{2021}+\frac{1}{2020}-\frac{1}{2019}-\frac{1}{2018}\right)=0\)
vì \(\frac{1}{2021}+\frac{1}{2020}-\frac{1}{2019}-\frac{1}{2018}\ne0\)nên x - 2017 = 0 \(\Rightarrow\)x = 2017
1 tìm x biết
x-4/2021+x-3/2020=x-2/2019+x-1/2018
giúp mk vs lm ơn
\(\frac{x+1}{2018}+\frac{x+1}{2019}=\frac{x+1}{2020}+\frac{x+1}{2021}\)
\(\frac{x+1}{2018}+\frac{x+1}{2019}=\frac{x+1}{2020}+\frac{x+1}{2021}\Leftrightarrow\frac{x+1}{2018}+\frac{x+1}{2019}-\frac{x+1}{2020}-\frac{x+1}{2021}=0\)
\(\Leftrightarrow\left(x+1\right)\left(\frac{1}{2018}+\frac{1}{2019}-\frac{1}{2020}-\frac{1}{2021}\right)=0\Leftrightarrow x+1=0\Leftrightarrow x=-1\)
KL: ................
Tính nhanh :
a,2017 x 2021 - 4031 / 2020 + 2017 x 2018
b,2017 x 2019 + 1009 / 2019 x 4035 - 1
Ta có: \(f\left(2019\right)=2020=2019+1\)
\(f\left(2020\right)=2021=2020+1\)
Đặt \(h\left(x\right)=-x-1\)và \(g\left(x\right)=f\left(x\right)+h\left(x\right)\)
\(\Rightarrow\hept{\begin{cases}g\left(2019\right)=f\left(2019\right)+h\left(2019\right)=2020-2020=0\\g\left(2020\right)=f\left(2020\right)+h\left(2020\right)=2021-2021=0\end{cases}}\)
\(\Rightarrow x=2019;x=2020\)là nghiệm của đa thức g(x) mà g(x) là đa thức bậc 3 , hệ số \(x^3\)là số nguyên
\(\Rightarrow g\left(x\right)=a\left(x-2019\right)\left(x-2020\right)\left(x-x_0\right)\)(\(a\in\)Z*)
\(\Rightarrow f\left(x\right)=g\left(x\right)-h\left(x\right)\)
\(=a\left(x-2019\right)\left(x-2020\right)\left(x-x_0\right)+x+1\)
\(f\left(2021\right)=a\left(2021-2019\right)\left(2021-2020\right)\left(2021-x_0\right)+2021+1\)
\(=a.1.2\left(2021-x_0\right)+2022\)
\(f\left(2018\right)=a\left(2018-2019\right)\left(2018-2020\right)\left(2018-x_0\right)+2018+1\)
\(=a.1.2.\left(2018-x_0\right)+2019\)
\(\Rightarrow f\left(2021\right)-f\left(2018\right)=a.1.2\left(2021-2018\right)+3\)
\(=6a+3\)
Làm nốt
Cho đa thức \(f\left(x\right)\)bậc 3 với hệ số \(x^3\)là số nguyên dương thỏa mãn:
\(f\left(2019\right)=2020;f\left(2020\right)=2021\)
CMR \(f\left(2021\right)-f\left(2018\right)\)là hợp số
Bài 1 : Thực hiện phép tính [(35−5):3] mũ3+3
Bài 2 : Tìm số tự nhiên x biết
16 x +40 = 10.3 mũ2+ 5.( 1 + 2 +3)
Bài 3: Tính
S= 1 + 2- 3 – 4 + 5 + 6 -7 – 8 + 9 +10 -…+2018 -2019-2020+2021
Giúp mình với mn!
Bài 2:
Ta có: \(16x+40=10\cdot3^2+5\left(1+2+3\right)\)
\(\Leftrightarrow16x+40=90+30\)
\(\Leftrightarrow16x=80\)
hay x=5
Bài 1 :
[( 35 - 5 ) : 3 ]3 + 3
= [30 : 3]3 + 3
= 103 + 3
= 1000 + 3
= 1003
Đây nha bạn!!!
Chúc bạn học tốt!!!
Tính nhanh :
a,2017 x 2021 - 4031 / 2020 + 2017 x 2018
b,2017 x 2019 + 1009 / 2019 x 4035 - 1
a, \(\dfrac{2017.2021-4031}{2020+2017.2018}\)
= \(\dfrac{2017\left(2018+3\right)-4031}{2020+2017.2018}\)
= \(\dfrac{2017.2018+2017.3-4031}{2020+2017.2018}\)
= \(\dfrac{2017.2018+2020}{2020+2017.2018}\)
= 1
@Nguyen Thi Ngoc Linh
1/2019-x+1/2020-x+1/2021-x=13/12
Bài này là tìm X ai giúp tui với