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a,575-(6x+70)=445
<=> 6x + 70 = 575 - 445
<=> 6x + 70 = 130
<=> 6x = 130 - 70
<=> 6x = 60
<=> x = 10
b, 720 : [ 41 - ( 2x - 5 ) ]= 23. 5
<=> 720 : [ 41 - ( 2x - 5 ) ] = 40
<=> 41 - ( 2x - 5 ) = 18
<=> 2x - 5 = 41 - 18
<=> 2x - 5 = 23
<=> 2x = 28
<=> x = 14
a)
\(280-\dfrac{\left(x-140\right)}{35}=270\\\dfrac{ \left(x-140\right)}{35}=10\\ x-140=\dfrac{10}{35}\\ x=\dfrac{10}{35}+140=\dfrac{982}{7}\)
b)
\(\dfrac{\left(190-2x\right)}{35}-32=16\\ \dfrac{\left(190-2x\right)}{35}=48\\ 190-2x=1680\\ -2x=1490\\ x=-745\)
c)
\(\dfrac{720}{41-2x+5}=2^3.5\\ \dfrac{720}{46-2x}=40\\ 720=1840-80x\\ 80x=1120\\ x=14\)
280 - ( x - 140 ) : 35 = 270
<=> ( x - 140 ) : 35 = 280 -270
<=> ( x -140 ) : 35 = 10
<=> x -140 = 10 . 35
<=> x -140 = 350
<=> x = 350 + 140
<=> x = 490
1) 280 - ( x - 140 ) : 35 = 270
=> ( x - 140 ) : 35 = 280 - 270 = 10
x - 140 = 350
=> x = 350 + 140
=> x = 390
2) ( 190 - 2x ) : 35 - 32 = 16
190 - 2x = ( 16 + 32 ) . 35 = 1680
x = ( 190 - 1680 ) : 2
x = -745
3) 720 : { 41 - ( 2x - 5 )} -2.5
Sai đề.
4) ( x : 23 + 45 ) . 37 - 22 = 24 .105
x : 23 + 45 = ( 24.105 + 22 ) : 37
x : 23 = 2542/37 - 45 = 877/37
x = 877/37.23 = 20171/37
5) ( 3x - 4 ) ( x - 1 ) = 0
=> 3x - 4 = 0 hoặc x - 1 = 0
3x - 4 = 0 hoặc x - 1 = 0
=> x = 4/3 => x = 1
Vậy x \(\in\) { 4/3;1 }
6) 22x : 4 = 83
=> 22x = 83 . 4 = 2048 = 211
=> 2x = 11
=> x = 11/2
\(\left(x+\frac{2}{3}\right)\left(\frac{5}{4}-2x\right)>0\)
th1 :
\(\hept{\begin{cases}x+\frac{2}{3}>0\\\frac{5}{4}-2x>0\end{cases}\Rightarrow\hept{\begin{cases}x>-\frac{2}{3}\\-2x>-\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x>-\frac{2}{3}\\x>\frac{5}{8}\end{cases}\Rightarrow}x>\frac{5}{8}}\)
th2 :
\(\hept{\begin{cases}x+\frac{2}{3}< 0\\\frac{5}{4}-2x< 0\end{cases}\Rightarrow\hept{\begin{cases}x< -\frac{2}{3}\\-2x< -\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x< -\frac{2}{3}\\x< \frac{5}{8}\end{cases}\Rightarrow}x< -\frac{2}{3}}\)
vậy_
`#040911`
`a,`
\(\left|2x-25\right|=41\)
\(\Rightarrow\left[{}\begin{matrix}2x-25=41\\2x-25=-41\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=41+25\\2x=-41+25\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=66\\2x=-16\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=66\div2\\x=-16\div2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=33\\x=-8\end{matrix}\right.\)
Vậy, `x \in { -8; 33 }`
`b,`
\(\dfrac{11}{3}-\left|\dfrac{5}{4}-x\right|=\dfrac{21}{4}\)
\(\Rightarrow\left|\dfrac{5}{4}-x\right|=\dfrac{11}{3}-\dfrac{21}{4}\)
\(\Rightarrow\left|\dfrac{5}{4}-x\right|=-\dfrac{19}{12}\left(\text{vô lý}\right)\)
Vậy, `x` không có giá trị nào thỏa mãn.
a) |2x - 25| = 41
2x - 25 = 41 và 2x - 25 = -41
*) 2x - 25 = 41
2x = 41 + 25
2x = 66
x = 66 : 2
x = 33
*) 2x - 25 = - 41
2x = -41 + 25
2x = -16
x = -16 : 2
x = -8
Vậy x = -8; x = 33
b) 11/3 - |5/4 - x| = 21/4
|5/4 - x| = 11/3 - 21/4
|5/4 - x| = -19/12 (vô lí vì |5/4 - x| ≥ 0 với mọi x ∈ R)
Vậy không tìm được x thỏa mãn yêu cầu đề bài
a) Ta có: \(\left(x-1\right)^{x+2}-\left(x-1\right)^{x+4}=0\)
\(\Leftrightarrow\left(x-1\right)^x\cdot\left(x-1\right)^2-\left(x-1\right)^x\cdot\left(x-1\right)^4=0\)
\(\Leftrightarrow\left(x-1\right)^{x+2}\cdot\left[1-\left(x-1\right)^2\right]=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x-1=1\\x-1=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\\x=0\end{matrix}\right.\)
b) Ta có: \(\dfrac{1}{4}\cdot\dfrac{2}{6}\cdot\dfrac{3}{8}\cdot\dfrac{4}{10}\cdot\dfrac{5}{15}\cdot...\cdot\dfrac{30}{62}\cdot\dfrac{31}{64}=2x\)
\(\Leftrightarrow2x=\dfrac{1}{64}\)
hay \(x=\dfrac{1}{128}\)
a, \(12-3x=510\)
\(\Rightarrow3x=-498\Rightarrow x=-166\)
Vậy..........
b, \(720-\left(3+2x\right)=1\)
\(\Rightarrow720-3-2x=1\)
\(\Rightarrow-2x=1-720+3=-716\)
\(\Rightarrow x=358\)
Vậy........
Chúc bạn học tốt!!!
a) \(12-3x=510\)
\(\Leftrightarrow-3x=510-12\)
\(\Leftrightarrow-3x=498\)
\(\Leftrightarrow x=-166\)
Vậy \(x=-166\)
b) \(720-\left(3+2x\right)=1\)
\(\Leftrightarrow720-3-2x=1\)
\(\Leftrightarrow-2x=1-720+3\)
\(\Leftrightarrow-2x=-716\)
\(\Leftrightarrow x=358\)
Vậy \(x=358\)