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a,-4/7=x/21
-12/21 = x/21
x= -12
b,(x-3)/15=1/-5
x - 3 = -1/5 * 15
x - 3 = -3
x = 0
c,.(3x+8)/-12=-5/30
=> 3x + 8 = 2
=> 3x=-6
=>x=-2
a: \(\dfrac{16}{15}\cdot\dfrac{-5}{14}\cdot\dfrac{54}{24}\cdot\dfrac{56}{21}\)
\(=\dfrac{16}{24}\cdot\dfrac{-5}{15}\cdot\dfrac{54}{21}\cdot\dfrac{56}{14}\)
\(=\dfrac{2}{3}\cdot\dfrac{-1}{3}\cdot\dfrac{18}{7}\cdot4\)
\(=\dfrac{-2\cdot2\cdot4}{7}=-\dfrac{16}{7}\)
b: \(\dfrac{7}{3}\cdot\dfrac{-5}{2}\cdot\dfrac{15}{21}\cdot\dfrac{4}{-5}\)
\(=\dfrac{7}{3}\cdot\dfrac{5}{7}\cdot\dfrac{5}{2}\cdot\dfrac{4}{5}\)
\(=\dfrac{5}{3}\cdot\dfrac{4}{2}=\dfrac{5}{3}\cdot2=\dfrac{10}{3}\)
c: \(\left(-\dfrac{2}{5}+\dfrac{1}{3}\right)\left(\dfrac{3}{2}-\dfrac{3}{7}\right)\)
\(=\dfrac{-2\cdot5+3}{15}\cdot\dfrac{3\cdot7-3\cdot2}{14}\)
\(=\dfrac{-7}{15}\cdot\dfrac{15}{14}=\dfrac{-7}{14}=-\dfrac{1}{2}\)
d: \(\left(\dfrac{1}{2}-\dfrac{1}{3}\right)\left(5-\dfrac{1}{4}\right)\)
\(=\dfrac{3-2}{6}\cdot\dfrac{20-1}{4}\)
\(=\dfrac{1}{6}\cdot\dfrac{19}{4}=\dfrac{19}{24}\)
e: \(\left(\dfrac{4}{5}\right)^2=\dfrac{4^2}{5^2}=\dfrac{16}{25}\)
a: 2x-261=-21
=>\(2x=-21+261=240\)
=>\(x=\dfrac{240}{2}=120\)
b: \(15\cdot\left(-2\right)-x=45\)
=>-30-x=45
=>x=-30-45=-75
c: \(-18+\left(7-x\right)^2=-2\)
=>\(\left(x-7\right)^2-18=-2\)
=>\(\left(x-7\right)^2=-2+18=16\)
=>\(\left[{}\begin{matrix}x-7=4\\x-7=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=11\\x=3\end{matrix}\right.\)
d: \(2x-1⋮x+1\)
=>\(2x+2-3⋮x+1\)
=>\(-3⋮x+1\)
=>\(x+1\inƯ\left(-3\right)\)
=>\(x+1\in\left\{1;-1;3;-3\right\}\)
=>\(x\in\left\{0;-2;2;-4\right\}\)
|x-2|=3x
\(\Rightarrow\orbr{\begin{cases}x-2=3x\\x-2=-3x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}-2=3x-x\Rightarrow-2x=2\Rightarrow x=-1\\x-2=-3x\Rightarrow x+3x=2\Rightarrow4x=2\Rightarrow x=2\end{cases}}\)
Vậy x=-1 hoặc x=2
|x-3|-7=13
|x-3|=13+7
|x-3|=20
\(\Rightarrow\orbr{\begin{cases}x-3=20\\x-3=-20\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=20+3=23\\x=-20+3=-17\end{cases}}\)
Vậy x=23 hoặc x=-17
72-(43-|x|)=45
43-|x|=72-45
43-|x|=27
|x|=43-27
|x|=16
=> x=+16
Vậy x=+16
3|x-1|-5=7
3|x-1|=7+5
3|x-1|=12
|x-1|=12:3
|x-1|=4
\(\Rightarrow\orbr{\begin{cases}x-1=4\Rightarrow x=4+1=5\\x-1=-4\Rightarrow x=-4+1=-3\end{cases}}\)
Vậy x=5 hoặc x=-3
(7-x )(x+9)=0
* 7-x=0 * x+9=0
x=7-0 x=0-9
x=7 x=-9
Vậy x=7 hoặc x=-9
(x-2)(x+15)=0
* x-2=0 * x+15=0
x=0+2 x=0-15
x=2 x=-15
Vậy x=2 hoặc x=-15
-12(x-5)+7(3-x)=5
-12x+60+21-7x=5
-12x-7x=5-60-21
-19x=-76
x=-76:(-19)
x=4
Vậy x=4
2x2-3=29
2x2=29+3
2x2=32
x2=32:2
x2=16
x2=42
=> x=4
Vậy x=4
\(\left|x-3\right|-7=13\)
\(\left|x-3\right|=20\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=20\\x-3=-20\end{cases}\Leftrightarrow\orbr{\begin{cases}x=23\\x=-17\end{cases}}}\)
vậy x=23 hoặc x=-17
\(\left(7-x\right)\left(x+9\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}7-x=0\\x+9=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=7\\x=-9\end{cases}}}\)
vậy x=7 hoặc x=-9
\(\left(x-2\right)\left(x+15\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\x+15=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-15\end{cases}}}\)
vậy x=2 hoặc x=-15
\(2x^2-3=29\)
\(2x^2=32\)
\(x^2=16\)
\(\Rightarrow x=\pm4\)
2) \(\left(x-2\right).\left(x+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x+4=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}}\)
vậy \(x=2\) hoặc \(x=-4\)
3) \(\left(x-2\right).\left(x+15\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x+15=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=-15\end{cases}}}\)
vậy \(x=2\) hoặc \(x=-15\)
4) \(\left(7-x\right).\left(x+19\right)=0\)
\(\Rightarrow\orbr{\begin{cases}7-x=0\\x+19=0\end{cases}\Rightarrow\orbr{\begin{cases}x=7\\x=-19\end{cases}}}\)
vậy \(x=7\) hoặc \(x=-19\)
8) \(2x^2-3=29\)
\(2x^2=29+3\)
\(2x^2=32\)
\(x^2=32\div2\)
\(x^2=16\)
\(\Rightarrow\orbr{\begin{cases}x^2=4^2\\x^2=\left(-4\right)^2\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=-4\end{cases}}\)
vậy \(x=4\) hoặc \(x=-4\)
7)Ta có : x - 3 = 0 x - 5 = 0
=> x = 0 + 3 => x = 0 +5
=> x = 3 => x = 5
Ta lập bảng xét dấu :
x | 3 | 5 | |||
x-3 | - | 0 | + | + | |
x-5 | - | - | 0 | + | |
(x-3).(x-5) | + | 0 | - | 0 | + |
Vậy để (x-3).(x-5) < 0 => 3<x<5 => x = 4
6) | x | <3
=>x thuộc cộng trừ 1 , cộng trừ 2
a/ x-2+7=-27
x-2=-34
x=-32
b/ Đề bị điên ak?
c/ -2x=2
x=-1
d/ ko hỉu đề
14) (x - 2) . (x + 4) = 0
\(\Rightarrow\) x - 2 = 0 hoặc x + 4 = 0
Nếu x - 2 = 0
x = 0 + 2
x = 2
Nếu x + 4 = 0
x = 0 - 4
x = -4
Vậy x \(\in\) {2 ; -4)
15) (x - 2) . (x + 15) = 0
\(\Rightarrow\) x - 2 = 0 hoặc x + 15 = 0
Nếu x - 2 = 0
x = 0 + 2
x = 2
Nếu x + 15 = 0
x = 0 - 15
x = -15
Vậy x \(\in\) {-15 ; 2}
x-7=15-(-21)
x-7=36
x=36-7
x=29
x = 29 đấy bạn
k cho mình nha