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Bài giải:
a) Ta có: \(-8⋮x\) và \(12⋮x\Rightarrow x\inƯC\left(-8;12\right)\)
\(Ư\left(-8\right)=\left\{-1;-2;-4;-8;1;2;4;8\right\}\)
\(Ư\left(12\right)=\left\{-1;-2;-3;-4;-6;-12;1;2;3;4;6;12\right\}\)
\(\RightarrowƯC\left(-8;12\right)=\left\{-1;-2;-4;1;2;4\right\}\)
Vậy: \(x\in\left\{-1;-2;-4;1;2;4\right\}\)
b)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) A = {x E Ư(12); x < 6}
A = { 1;2;3;4}
b) B = { 24;36;48}
c) C = {15;30}
d) D = {15;20;25;30;25;40;45;50;55;.......;90;95}
![](https://rs.olm.vn/images/avt/0.png?1311)
x ⋮ 12; x ⋮ 10\(\Rightarrow\)x\(\in\)BC(12,10)
\(\Rightarrow x\in B\left(60\right)\) mà -200 ≤ x ≤ 200
=> x\(\in\){-180,-120,-60,0,60,120,180}
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a) 45 ⋮ x
Vì 45 ⋮ x nên x E Ư( 45 )
= { 1;3;5;9;15;45 }
mà x E Ư(45)
=> x E { 1;3;5;9;15;45 }
b) 24 ⋮ x ; 36 ⋮ x ; 160 ⋮ x và x lớn nhất
Vì 24 ⋮ x ; 36 ⋮ x ; 160 ⋮ x nên x E ƯC ( 24;36;160)
mà x lớn nhất
=> x E ƯCLN ( 24;36;160 )
Ta có
24 = 23 . 3
36 = 22.32
160 = 25 . 5
=> ƯCLN ( 24;36;160 ) = 22 = 4
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{x-1}{10}+\dfrac{x-2}{11}+\dfrac{x-3}{12}=\dfrac{x-4}{13}+\dfrac{x-5}{14}+\dfrac{x-6}{15}\)
Dựa vào t/c dãy tỉ số = nhau ta có:
\(\dfrac{x-1+x-2+x-3}{10+11+12}=\dfrac{x-4+x-5+x-6}{13+14+15}\)
\(\dfrac{3x-6}{33}=\dfrac{3x-15}{42}\)
\(42\left(3x-6\right)=33\left(3x-15\right)\)
\(126x-252=99x-495\)
\(126-99x=594-252\)
\(27x=342\)
\(x=\dfrac{38}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{x+8}{12}+\frac{x+9}{11}+\frac{x+10}{10}+3=0\)
\(\Rightarrow\left(\frac{x+8}{12}+1\right)+\left(\frac{x+9}{11}+1\right)+\left(\frac{x+10}{10}+1\right)=0\)\
\(\Rightarrow\frac{x+20}{12}+\frac{x+20}{11}+\frac{x+20}{10}=0\)\(\Leftrightarrow\left(x+20\right)\left(\frac{1}{12}+\frac{1}{11}+\frac{1}{10}\right)=0\)
\(\left(\frac{1}{12}+\frac{1}{11}+\frac{1}{10}\right)\ne0\Rightarrow x+20=0\Leftrightarrow x=0-20=-20\)
\(\frac{x+8}{12}+\frac{x+9}{11}+\frac{x+10}{10}+3=0\)
\(\Leftrightarrow\left(\frac{x+8}{12}+1\right)+\left(\frac{x+9}{11}+1\right)+\left(\frac{x+10}{10}+1\right)=0\)
\(\Leftrightarrow\frac{x+8+12}{12}+\frac{x+9+11}{11}+\frac{x+10+10}{10}=0\)
\(\Leftrightarrow\frac{x+20}{12}+\frac{x+20}{11}+\frac{x+20}{10}=0\)
\(\Leftrightarrow\left(x+20\right)\left(\frac{1}{12}+\frac{1}{11}+\frac{1}{10}\right)=0\)
Vì \(\frac{1}{12}+\frac{1}{11}+\frac{1}{10}\ne0\)
=> \(x+20=0\)
=> \(x=-20\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1)-2x-(-17)=15
=>-2x=15-17
=>-2x=-2
=>x=1
Vậy x=1
2)|x|-10=-3
=>|x|=7
=>\(x=\left[{}\begin{matrix}7\\-7\end{matrix}\right.\)
Vậy x=7 hoặc x=-7
3)(x+2).(x-9)=0
\(\Rightarrow\left[{}\begin{matrix}x+2=0\\x-9=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-2\\x=9\end{matrix}\right.\)
Vậy x=-2 hoặc x=9
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a, 5656 - x = 312312
\(x=\dfrac{5}{6}-\dfrac{3}{12}\)
\(x=\dfrac{7}{12}\)
b,127127 : x + 910910= 75
\(\dfrac{12}{7}\div x=\dfrac{7}{5}-\dfrac{9}{10}\)
\(\dfrac{12}{7}\div x=\dfrac{5}{10}\)
\(x=\dfrac{12}{7}\div\dfrac{5}{10}\)
\(x=\dfrac{24}{7}\)
TL :
Ta thấy x chia hết cho 10 , x chia hết cho 12
Suy ra ta gọi x là BCNN của 10 ;12
Ta phân tích :
10 = 2.5
12 = 22.3
BCN ( 10 ; 12 ) = 22.3.5 = 60
Vậy x = 60
theo bài ra ta có
x : 10 (1)
x : 12 (2)
Từ (1) và (2) => x E BC(10;12) (3)
10=2.5
12=22.3
=> BCNN(10;12)=22.3.5 =60(4)
=> BC(10;12) =B (60)={0;60;120;180;240;...}(5)
Từ (3);(4);(5)=>xE {0;60;120;180;240;...}