520 : { [ (16 x 5 + 22 x 5 ) ) : 5 - 5 ] + 115 } + 2017 0
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2^5.3^2+2^5.11-2^6.5-5\)
\(=2^5.9+2^5.11-2^5.2^1.5-5\)
\(=2^5.\left(9+11-2.5\right)-5\)
\(=32.\left(9+11-10\right)-5\)
\(=32.10-5\)
\(=320-5\)
\(=315\)
\(-2017-\left[\left(15-2017\right)+\left(-115\right)\right]\)
\(=-2017-\left[\left(-2002\right)+\left(-115\right)\right]\)
\(=-2017-\left(-2117\right)\)
\(=-2017+2117\)
\(=100\)
Vì 24 chia hết cho x, 120 chia hết cho x và 10<x<20 nên x ƯC(24,120)
Ta có : 24 =12.2 ; 120= 10.12
ƯCLN(24,120) = 12
Mà Ư(12) = { 1,2,3,4,6,12}
=>ƯC(24,120) = { 1,2,3,4,6,12}
Vì 10<x<20
=> x = 12
Vậy x = 12
3.|x-1| = 28:23 + 20170
3.|x-1| = 25+ 1
3.|x-1| = 32 + 1
3.|x-1| = 33
|x-1| = 33 : 3
|x-1| =11
=> x -1 =11
x = 11+1
x = 22
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a.3\times2^3+3\times4^2\)
\(=3\times2^3+3\times\left(2^2\right)^2\)
\(=3\times2^3+3\times2^4\)
\(=3\times\left(2^3+2^4\right)=3\times\left(8+16\right)=3\times24=72\)
![](https://rs.olm.vn/images/avt/0.png?1311)
2) Tìm x
a) 24 chia hết cho x và 120 cũng chia hết cho x\(\Rightarrow x\in\text{ƯC}\left(24;120\right)\)
ƯC(24; 120) = {1; 2; 4; 6; 12; 24}
10 < x < 20 => x = 12
Vậy x = 12 thì\(24⋮x\)và\(120⋮x\)
b) 3 . lx - 1l = 28 : 23 + 20170
3 . (x - 1) = 25 + 1
3 . (x - 1) = 32 + 1
3 . (x - 1) = 33
x - 1 = 33 : 3
x - 3 = 11
x = 11 + 3
x = 14 (sai thì thôi, đừng k sai nha)
#Học tốt!!!
~NTTH~
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left\{{}\begin{matrix}26⋮x\\x\ge13\end{matrix}\right.\Rightarrow x\in\left\{13;26\right\}\)
\(\left\{{}\begin{matrix}16⋮x\\x< 8\end{matrix}\right.\Rightarrow x\in\left\{1;2;4\right\}\)
\(\left\{{}\begin{matrix}18⋮x\\0< x< 40\end{matrix}\right.\Rightarrow x\in\left\{1;2;3;6;9;18\right\}\)
\(\left\{{}\begin{matrix}x⋮15\\30< x< 40\end{matrix}\right.\Rightarrow x\in\varnothing\)
\(\left\{{}\begin{matrix}x⋮12\\22\le5x\le50\end{matrix}\right.\Rightarrow x\in\varnothing\)
\(\left\{{}\begin{matrix}x⋮4\\16\le x\le36\end{matrix}\right.\Rightarrow x\in\left\{16;20;24;28;32;36\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
bài2 \(x\times\dfrac{15}{16}-x\times\dfrac{4}{16}=2\)
\(x\times\dfrac{11}{16}=2\)
\(x=2:\dfrac{11}{16}\)
\(x=\dfrac{32}{11}\)
Bài 1 :
\(\dfrac{x}{16}\times\left(2017-1\right)=2\)
\(\dfrac{x}{16}\times2016=2\)
\(\dfrac{x}{16}=\dfrac{2}{2016}\)
\(x=\dfrac{2}{2016}\times16\)
\(x=\dfrac{1}{63}\)
\(520:\left\{\left[\left(16\cdot5+2^2\cdot5\right):5-5\right]+115\right\}+2017^0\)
\(520:\left\{\left[\left(80-20\right):5-5\right]+115\right\}+1\)
\(520:\left\{\left[60:5-5\right]+115\right\}+1\)
\(520:\left(7+115\right)+1\)
\(520:122+1\)
\(=5,2\)
520 : { [ (16 x 5 + 22 x 5 ) ) : 5 - 5 ] + 115 } + 2017 0
= 520 : { [ (80 + 20) : 5 - 5 ] + 115 } + 1
= 520 : { [ 100 : 5 - 5 ] + 115 } +1
= 520 : { [ 20 - 5 ] + 115 } +1
= 520 : { 15 + 115 } +1
= 520 : 130 +1
= 4 + 1
= 5