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\(15+\left(x+2\right)^2:3=18\)
\(\left(x+2\right)^2:3=18-15\)
\(\left(x+2\right)^2:3=3\)
\(\left(x+2\right)^2=3.3\)
\(\left(x+2\right)^2=9\)
\(\left(x+2\right)^2=3^2\) hoặc \(\left(x+2\right)^2=\left(-3\right)^2\)
\(=>x+2=3\) hoặc \(x+2=-3\)
\(x=3-2\) hoặc \(x=-3-2\)
\(x=1\) hoặc \(x=-5\)
Vậy...
15 + (x + 2)² : 3 = 18
(x + 2)² : 3 = 18 - 15
(x + 2)² : 3 = 3
(x + 2)² = 3 . 3
(x + 2)² = 9
x + 2 = 3 hoặc x + 2 = -3
*) x + 2 = 3
x = 3 - 2
x = 1
*) x + 2 = -3
x = -3 - 2
x = -5
Vậy x = -5; x = 1
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(\dfrac{x-2}{15}+\dfrac{x-3}{14}+\dfrac{x-4}{13}+\dfrac{x-5}{12}=4\)
\(\Leftrightarrow\dfrac{x-2}{15}-1+\dfrac{x-3}{14}-1+\dfrac{x-4}{13}-1+\dfrac{x-5}{12}-1=0\)
\(\Leftrightarrow\dfrac{x-17}{15}+\dfrac{x-17}{14}+\dfrac{x-17}{13}+\dfrac{x-17}{12}=0\)
\(\Leftrightarrow\left(x-17\right)\left(\dfrac{1}{15}+\dfrac{1}{14}+\dfrac{1}{13}+\dfrac{1}{12}\right)=0\)
mà \(\dfrac{1}{15}+\dfrac{1}{14}+\dfrac{1}{13}+\dfrac{1}{12}>0\)
nên x-17=0
hay x=17
Vậy: x=17
b) Ta có: \(\dfrac{x+1}{19}+\dfrac{x+2}{18}+\dfrac{x+3}{17}+...+\dfrac{x+18}{2}+18=0\)
\(\Leftrightarrow\dfrac{x+1}{19}+1+\dfrac{x+2}{18}+1+\dfrac{x+3}{17}+1+...+\dfrac{x+18}{2}+1=0\)
\(\Leftrightarrow\dfrac{x+20}{19}+\dfrac{x+20}{18}+\dfrac{x+20}{17}+...+\dfrac{x+20}{2}=0\)
\(\Leftrightarrow\left(x+20\right)\left(\dfrac{1}{19}+\dfrac{1}{18}+\dfrac{1}{17}+...+\dfrac{1}{2}\right)=0\)
mà \(\dfrac{1}{19}+\dfrac{1}{18}+\dfrac{1}{17}+...+\dfrac{1}{2}>0\)
nên x+20=0
hay x=-20
Vậy: x=-20
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1: =>x/5=6/5
=>x=6
2: =>x^2=36
=>x=6 hoặc x=-6
3: =>x-5/2=3+1/6=19/6
=>x=19/6+5/2=19/6+15/6=34/6=17/3
4: =>x=1/2:2/5=1/2*5/2=5/4
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1.5.18+2.10.36+3.15.54}{1.3.9+2.6.18+3.9.27}=\frac{1.5.18.\left(1+2.2.2+3.3.3\right)}{1.3.9.\left(1+2.2.2+3.3.3\right)}\)
\(=\frac{1.5.18}{1.3.9}=\frac{10}{3}\)
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\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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\(\left|x+2\right|=3-\left(-8\right)\)
\(\Rightarrow \left|x+2\right|=11\)
\(\Rightarrow\hept{\begin{cases}x+2=-11\\x+2=11\end{cases}}\)
\(\text{Trường hợp : }x+2=-11\)
\(\Rightarrow x=-11-2\)
\(\Rightarrow x=-13\)
\(\text{Trường hợp : }x+2=11\)
\(\Rightarrow x=11-2\)
\(\Rightarrow x=9\)
\(\Rightarrow x\in\left\{-13;9\right\}\)
a) \(\left|x+2\right|=3-\left(-8\right)\)
\(\left|x+2\right|=3+8\)
\(\left|x+2\right|=11\)
\(\Rightarrow\orbr{\begin{cases}x+2=11\\x+2=-11\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=9\\x=-13\end{cases}}\)
Vậy.......
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1.Tính
a) 7.[ 6 : 2 - 15 :(-3) - l-3l ]
= 7.[ 3 + 5 - 3]
= 7.[( 3 - 3 ) + 5]
= 7.[0 + 5]
= 7.5
= 35
b) 159.(18-59) - 59 .(18-159)
= 159 . ( - 41) - 59 . ( - 141 )
= ( - 6519 ) - ( - 8319 )
= 1800
2.Tìm x thuộc Z
a) x + 15 = 20 -4x
x+4x=20-15
5x=5
x=5:5
x=1
Vậy x=1
b) 3 - lx - 1l =0
|x-1|=3
* x-1=3 * x-1=-3
x=3+1 x=-3+1
x=4 x=-2
Vậy x=4 hoặc x=-2
c) 7(x-3) - 5 (3-x) = 11x - 5
7x-21-15+5x=11x-5
-21-15+5=11x-7x-5x
-31=-x
31=x
Vậy x=31
15+(x+2)2: 3 = 18
(x+2)2 :3 = 18-15
(x+2)2 :3 = 3
(x+2)2 = 3.3
(x+2)2 = 9
(x+2)2 = 32
=> x+2 = 3
x = 3-2
x = 1