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d , ( x : 7 + 15 ) . 23 + 391 => Đề thiếu
e , ( 19 . x + 2 . 52 ) : 14 = ( 13 - 8 ) 2 - 42
=> ( 19 . x + 2 . 52 ) : 14 = 52 - 16
=> ( 19 . x + 2 . 52 ) : 14 = 25 - 16 = 9
=> 19 . x + 2 . 52 = 9 x 14 = 126
=> 19 . x + 2 . 25 = 126
=> 19 . x + 50 = 126
=> 19 . x = 126 - 50 = 76
=> x = 76 : 19 = 4
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b) -12 - | 5 - x | = -14
<=> | 5 - x | = -12 - ( -14 )
<=> | 5 - x | = 2
<=> 5 - x = 2 hoặc 5 - x = -2
<=> x = 3 hoặc x = 7
\(a,2^{x+1}-2^x=32\)
\(\Leftrightarrow2^x\left(2-1\right)=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
....
\(b,-12-\left|5-x\right|=-14\)
\(\Leftrightarrow\left|5-x\right|=-12+14\)
\(\Leftrightarrow\left|5-x\right|=2\)
\(\Leftrightarrow\orbr{\begin{cases}5-x=2\\5-x=-2\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=3\\x=7\end{cases}}\)
...
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\(1,2x+3x-4x=\left(-2\right)^3\)
<=>\(x=-8\)
\(2,x-2x=4^2+4^0\)
<=>\(-x=16+1\)
<=>\(-x=17\)
<=>\(x=-17\)
\(3,2^3x-3^2x=|12-21|\)
<=>\(-x=9\)
<=>\(x=-9\)
\(4,x-45=2x+54\)
<=>\(x-2x=54+45\)
<=>\(-x=99\)
<=>\(x=-99\)
\(5,5x-12+23=6^7:6^5\)
<=>\(5x+11=6^2\)
<=>\(5x+11=36\)
<=>\(5x=25\)
<=>\(x=5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(4.\left(5-x\right)-3.\left(1-x\right)=-3^2\)
\(\Leftrightarrow20-4x-3+3x=9\)
\(\Leftrightarrow-4x+3x=9-20+3\)
\(\Leftrightarrow-x=-8\)
\(\Leftrightarrow x=8\)
Vậy: \(x=8\)
Ta có: \(3.\left|2x-3\right|=7-\left(-14\right)\)
\(\Leftrightarrow3.\left|2x-3\right|=7+14=21\)
\(\Leftrightarrow\left|2x-3\right|=\dfrac{21}{3}=7\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-3=7\\2x-3=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=10\\2x=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-2\end{matrix}\right.\)
Vậy: \(x=-2;5\)
Ta có: \(2^{2x-1}-3^2=23\)
\(\Leftrightarrow2^{2x-1}-9=23\)
\(\Leftrightarrow2^{2x-1}=32\)
\(\Leftrightarrow2^{2x-1}=2^5\)
\(\Leftrightarrow2x-1=5\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
Vậy: \(x=3\)
_Chúc bạn học tốt_
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a/57x23+23x44-23
57x23+23x44-23x1
=23x(57+44-1)
=23x100
=2300
b
a) 57 . 23 + 23 . 44 - 23
= 57 . 23 + 23 . 44 - 23 . 1
= ( 57 + 44 - 1 ) . 23
= 100 . 23
= 2300
b) 1672 - [ 49 + ( 13 - 7 )3 ]
= 1672 - [ 49 + 63 ]
= 1672 - [ 49 + 216 ]
= 1672 - 265
= 1407
c) 50 : { 2 . [ 52 - ( 3 . 5 - 22 . 3 )3 ] }
= 50 : { 2 . [ 52 - ( 3 . 5 - 4 . 3 )3 ] }
= 50 : { 2 . [ 52 - ( 3 . 1 )3 ] }
= 50 : { 2 . [ 52 - 27 ] }
= 50 : { 2 . 25 }
= 50 : 50
= 1
d) -2014 + (-999) + 14 + (-2001)
= ( -2014 + 14 ) + [ (-999) + (-2001) ]
= (-2000) + (-3000)
= -5000
Học tốt nhé bạn !
![](https://rs.olm.vn/images/avt/0.png?1311)
s1=1+2+3+...+99
s1=99+98+...+1
2s1=100+100+....+100
2s1=100.99
s1=100.99:2=4950(mấy bài sau lam tương tự nha)
4+4^2+4^3+...+4^90 chia hết cho 21
=(4+4^2+4^3)+...+(4^88+4^89+4^90)
=84.1+(4^4+4^5+4^6+...+4^90)
vì 84 chia hết cho 21 suy ra tổng trên chia hét cho 21 (ĐPCM)
232 < 322
12 x 2 = 24
14 x 2 = 28
k mk nha mọi người,mk mới bị trừ 50 điểm xong,huhu..
232<322
12x2=24
14x2=28