1/2x + 150% . x = 4044
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\(x\left(x-2022\right)-2x+4044=0\\ \Rightarrow x\left(x-2022\right)-2\left(x-2022\right)=0\\ \Rightarrow\left(x-2022\right)\left(x-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=2022\\x=2\end{matrix}\right.\)
x(x-2022)-2x+4044=0
\(x^2-2022x-2x+4044=0\)
\(x^2-2x-2022x+4044=0\)
\(\left(x^2-2x\right)-\left(2022x-4044\right)=0\)
\(x\left(x-2\right)-2022\left(x-2\right)=0\)
\(\left(x-2\right)\left(x-2022\right)=0\)
\(x-2=0\)
\(x-2022=0\)
<=> \(x=\left\{2;2022\right\}\)
gọi 2021-x = a
2023-x=b
2x-4044=c
ta có a + b + c=2021-x+2023-x+2x-4044=0
suy ra a + b = -c
suy ra (a+b)^3 =-c^3
ta có a^3 + b^3 + c^3=(a+b)^3 -3ab(a+b) + c^3 = -c^3 +3abc +c^3 = 3abc
ta có (2021-x)^3 + (2023-x)^3 + (2x-4044)^3 = 0
=> 3(2021-x)(2023-x)(2x-4044)=0
=> th 1 x = 2021, th 2 x = 2023; th3 x = 2022
\(\left(\frac{141414}{272727}+\frac{4044}{9099}\right)\times54\)
= \(\left(\frac{141414:10101}{272727:10101}+\frac{4044:1011}{9099:1011}\right)\times54\)
\(=\left(\frac{14}{27}+\frac{4}{9}\right)\times54\)
\(=\left(\frac{14}{27}+\frac{4\times3}{9\times3}\right)\times54\)
\(=\frac{14+12}{27}\times54\)
\(=\frac{26}{27}\times54\)
\(=\frac{1404}{27}=52\)
\(\dfrac{x}{y+z-3}=\dfrac{y}{x+z}=\dfrac{z}{x+y+3}=\dfrac{x+y+z}{2\left(x+y+z\right)}=\dfrac{1}{2}=\dfrac{1}{4044\left(x+y+z\right)}\)
\(\Rightarrow\left\{{}\begin{matrix}y+z-3=2x\\x+z=2y\\x+y+3=2z\end{matrix}\right.\) và \(4044\left(x+y+z\right)=2\)
\(\Rightarrow\left\{{}\begin{matrix}x+y+z=3x+3\\x+y+z=3y\\x+y+z=3z-3\end{matrix}\right.\\ \Rightarrow3x+3=3y=3z-3\\ \Rightarrow x+1=y=z-1\)
\(\left\{{}\begin{matrix}x=y-1\\z=y+1\end{matrix}\right.\)
Lại có \(4044\left(x+y+z\right)=2\)
\(\Rightarrow4044\left(y-1+y+y+1\right)=2\\ \Rightarrow4044\cdot3y=2\\ \Rightarrow y=\dfrac{1}{674}\Rightarrow\left\{{}\begin{matrix}x=-\dfrac{673}{674}\\z=\dfrac{675}{674}\end{matrix}\right.\)
Hai số lẻ liên tiếp là:
2021 và 2023
Số bé là:2021
Hok tốt nha
Số bé nhất là 2021
Hok tốt
Kb với mình nhé
Tổng hai số là:
2022 \(\times\) 2 = 4044
Ta có sơ đồ:
Theo sơ đồ ta có: Số lớn: (4044 + 2022) : 2 = 3033
Chọn C. 3033
a)x+7=2x-1
<=>x-2x=-1-7
<=>-x=-8
<=>x=8
b)x+(2x-1)=7
<=>x+2x-1=7
<=>3x-1=7
<=>3x=8
\(\Leftrightarrow x=\frac{8}{3}\)
c)7+(2x-1)=x
<=>7+2x-1=x
<=>2x-1+7=x
<=>2x+6=x
<=>x-2x=6
<=>-x=6
<=>x=-6
`1/2 x + 150%x = 4044`
`1/2 x + 150/100 x= 4044`
`1/2x + 3/2x = 4044`
`(1/2+3/2)x= 4044`
`2x=4044`
`x=4044:2`
`x=2022`
Vậy `x=2022`
50% * x + 150% * x = 4044
( 0,5 + 1,5 ) * x = 4044
2 * x = 4044
x = 4044 : 2
x = 2022