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a: Ta có: \(100-7\left(x-5\right)=58\)
\(\Leftrightarrow7\left(x-5\right)=42\)
\(\Leftrightarrow x-5=6\)
hay x=11
b: Ta có: \(12\left(x-1\right):3=4^3+2^3\)
\(\Leftrightarrow12\left(x-1\right)=216\)
\(\Leftrightarrow x-1=18\)
hay x=19
a)100-7.[x-5]=58
7.[x-5]=100-58=42
x-5=42:7=6
x=6+5
x=11
b)12.[x-1]:3=43+23
12 [x-1]:3=64+8
12.[x-1]:3=72
[x-1]:3=72:12=6
[x-1]=6.3=18
x=18-1
x=17
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a, 100 - 7 ( x - 5 ) = 31 + 33
100 - 7 ( x - 5 ) = 31 + 27
100 - 7 ( x - 5 ) = 58
7 ( x - 5 ) = 100 - 58
7 ( x - 5 ) = 42
x - 5 = 42 : 7
x - 5 = 6
=> x = 6 +5
=> x = 11
Vậy x = 11
b, 12 ( x - 1 ) : 3 = 43 + 23
12 ( x - 1 ) : 3 = 64 + 8
12 ( x - 1 ) : 3 = 72
12 ( x - 1 ) = 72 . 3
12 ( x - 1 ) = 216
x - 1 = 216 : 12
x - 1 = 18
=> x = 18 + 1
=> x = 19
Vậy x = 19
c, 24 + 5x = 75 : 73
24 + 5x = 72
24 + 5x = 49
5x = 49 - 24
5x = 25
=> x = 25 : 5
=> x = 5
Vậy x = 5
d, 5x - 206 = 24 . 4
5x - 206 = 16 . 4
5x - 206 = 64
5x = 64 + 206
5x = 270
=> x = 270 : 5
=> x = 54
Vậy x = 54
e, 125 = x3
53 = x3
=> x = 5
Vậy x = 5
g, 64 = x2
82 = x2
=> x = 8
Vậy x = 8
a. \(158-x=-12\)
\(x=158+12\)
\(x=170\)
b. \(37+x=12\)
\(x=12-37\)
\(x=-25\)
c. \(2x-15=-47\)
\(2x=\left(-47\right)+15\)
\(x=\dfrac{\left(-32\right)}{2}\)
\(x=-16\)
d. \(\left(-5\right)^2-\left(5x-3\right)=43\)
\(25-\left(5x-3\right)=43\)
\(\left(5x-3\right)=25-43\)
\(5x=\left(-18\right)+3\)
\(x=\dfrac{\left(-15\right)}{5}=-3\)
e. \(\left|x-1\right|+\left(-5\right)=2\)
\(\left|x-1\right|=2-\left(-5\right)\)
\(\left|x-1\right|=7\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=7\\x-1=-7\end{matrix}\right.\Leftrightarrow}\left[{}\begin{matrix}x=8\\x=-6\end{matrix}\right.\)
f. \(\left|x+1\right|=4\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=4\\x+1=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
g. \(\left|x\right|=12\)
\(\Rightarrow x=\pm12\)
Câu h ko có x sao tìm
a) \(158-x=-12.\)
\(\Rightarrow x=158-\left(-12\right).\)
\(\Rightarrow x=158+12=170.\)
Vậy..........
b) \(37+x=12.\)
\(\Rightarrow x=12-37.\)
\(\Rightarrow x=-25.\)
Vậy..........
c) \(2x-15=-47.\)
\(\Rightarrow2x=-47+15.\)
\(\Rightarrow2x=-32.\)
\(\Rightarrow x=-\dfrac{32}{2}=-16.\)
Vậy..........
d) \(\left(-5\right)^2-\left(5x-3\right)=43.\)
\(\Rightarrow25-\left(5x-3\right)=43.\)
\(\Rightarrow5x-3=25-43.\)
\(\Rightarrow5x-3=-18.\)
\(\Rightarrow5x=-18+3.\)
\(\Rightarrow5x=-15.\)
\(\Rightarrow x=-\dfrac{15}{5}=3.\)
Vậy..........
e) \(\left|x-1\right|+\left(-5\right)=2.\)
\(\Rightarrow\left|x-1\right|=2-\left(-5\right).\)
\(\Rightarrow\left|x-1\right|=2+5.\)
\(\Rightarrow\left|x-1\right|=7.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=7\\x-1=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=-6\end{matrix}\right..\)
Vậy..........
f) \(\left|x+1\right|=4\Leftrightarrow\left[{}\begin{matrix}x+1=4\\x+1=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right..\)
Vậy..........
g) \(\left|x\right|=12\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-12\end{matrix}\right..\)
Vậy..........
a. x50 = x
\(\Rightarrow\)\(\left[\begin{array}{nghiempt}x=1\\x=-1\end{array}\right.\)
b. 125 = x3
Vì 53 =125 \(\Rightarrow\)x = 5
c.64 = x2
Vì 64 = 82 \(\Rightarrow\) x = 8
d.90 = 10 . 3x
3x= 90 : 10
3x = 9
Vì 32 = 9 \(\Rightarrow\)x = 2
Câu 1:
\(\frac{2x-1}{3}=\frac{3x+1}{4}\)
\(\frac{8x-4}{12}=\frac{9x+3}{12}\)
\(\Rightarrow8x-4=9x+3\)
\(8x-9x=3+4\)
\(-x=7\Rightarrow x=-7\)
Câu 2:
\(\frac{3x}{5x+4}=\frac{12}{28}\)
\(\Rightarrow\left(3x\right).28=12.\left(5x+4\right)\)
\(84x=60x+48\)
\(84x-60x=48\)
\(24x=48\)
\(\Leftrightarrow x=2\)
Câu 3 :
\(\frac{x}{2}=\frac{8}{x}\)
\(\Rightarrow x.x=8.2\)
\(x^2=16\)
\(x^2=\left(\pm4\right)^2\)
\(\Rightarrow x\left\{-4;4\right\}\)
học tốt !!!
Câu 1: \(\frac{2x-1}{3}=\frac{3x+1}{4}\)
\(\Leftrightarrow2\left(2x-1\right)=3\left(3x+1\right)\)
\(\Leftrightarrow4x-2=9x+3\)
<=> -9x+4x=3+2
<=> -5x=5
<=> x=-1
Câu 3: \(\frac{x}{2}=\frac{8}{x}\left(x\ne0\right)\)
<=> x2=16
<=> \(\orbr{\begin{cases}x=4\\x=-4\end{cases}\left(tmđk\right)}\)
Câu 2: Bạn cũng nhân chéo lên nhưng nhớ đi điều kiện: \(x\ne\frac{-4}{5}\)
4(x-1)=72
x-1=18
x=19
5x-206=64
5x=270
x=54
câu 1: 12.(x-1):3=43+23
12 . (x - 1 ) :3 = 72
12 . ( x - 1 ) = 72 : 3
12 . ( x - 1 ) = 24
x - 1 = 24 : 12
x - 1 = 2
x = 1
Câu 2: 5x - 206 = 24 .4
5x - 206 = 64
5x = 64 + 206
5x = 270
x = 270 : 5
x = 54