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a: \(6=2\cdot3;21=3\cdot7;27=3^3\)
=>BCNN(6;21;27)=\(2\cdot3^3\cdot7=14\cdot27=378\)
x∈BC(6;21;27)
=>x∈B(378)
mà x<2000
nên x∈{378;756;1134;1512;1890}
b: \(12=2^2\cdot3;15=3\cdot5;20=2^2\cdot5\)
=>BCNN(12;15;20)=\(2^2\cdot3\cdot5=4\cdot3\cdot5=12\cdot5=60\)
x∈BC(12;15;20)
=>x∈B(60)
mà 440<x<500
nên x=480
c: \(5=5;10=2\cdot5;25=5^2\)
=>BCNN(5;10;25)=\(5^2\cdot2=25\cdot2=50\)
x∈BC(5;10;25)
=>x∈B(50)
mà x<400
nên x∈{50;100;150;200;250;300;350}
d: \(3=3;5=5;6=2\cdot3;9=3^2\)
=>BCNN(3;5;6;9)=\(2\cdot3^2\cdot5=10\cdot9=90\)
x∈BC(3;5;6;9)
=>x∈B(90)
mà 150<=x<=250
nên x=180
e: \(16=2^4;21=3\cdot7;25=5^2\)
=>BCNN(16;21;25)=\(2^4\cdot3\cdot7\cdot5^2=8400\)
x∈BC(16;21;25)
=>x∈B(8400)
mà x<=400
nên x=0
f: \(5=5;7=7;8=2^3\)
=>BCNN(5;7;8)=\(5\cdot7\cdot2^3=35\cdot8=280\)
x∈BC(5;7;8)
=>x∈B(280)
mà x<=500
nên x∈{0;280}
g: \(12=2^2\cdot3;5=5;8=2^3\)
=>BCNN(12;5;8)=\(2^3\cdot3\cdot5=8\cdot3\cdot5=24\cdot5=120\)
x∈BC(12;5;8)
=>x∈B(120)
mà 60<=x<=180
nên x=120
h: \(3=3;4=2^2;5=5;10=2\cdot5\)
=>BCNN(3;4;5;10)=\(2^2\cdot3\cdot5=60\)
x∈BC(3;4;5;10)
=>x∈B(60)
mà x<200
nên x∈{60;120;180}
k: \(7=7;14=2\cdot7;21=3\cdot7\)
=>BCNN(7;14;21)=\(7\cdot2\cdot3=42\)
x∈BC(7;14;21)
=>x∈B(42)
mà x<=210
nên x∈{0;42;84;126;168;210}
1a) 25 .8 - 12.5 + 272 :17 - 8
= 200 - 60 + 16 - 8
= 140+16-8
= 156 - 8
= 148
b) 125: 25 +14 - 142 : 71
= 5 + 14 - 2
= 19 - 2 = 17
c) 13. 17 - 256: 16 + 14 : 7 - 1
= 221 - 16 + 2 - 1
= 205 + 2 - 1
= 207 - 1 = 206
d) 15 . 24 - 14 . 5 (145 : 5 - 27)
= 360 - 70 (29- 27)
= 360 - 70 . 2
= 360 - 140
= 220
2a) 37 + x = 55
x= 55 - 37
x = 18
b) x- 31 = 24
x = 24 + 31
x = 55
c) 21 (x-11) = 21
x - 11 = 21 : 21
x = 1 +11
x = 12
d ) 9. (x - 29)= 0
x - 29 = 0 :9
x = 29
e) (x - 1954) . 5 = 50
x - 1954 = 50 : 5
x = 1964
f ) 30 . 60 - x = 30
1800 - x = 30
x = 1800 - 30
x = 1770
Viết mỏi tay quá huhuh
Ta có: \(12=2^2.3\)
\(40=2^3.5\)
\(\Rightarrow BCNN\left(12;40\right)=2^3.3.5=120\)
\(\Rightarrow x\in\left\{0;120;240;480;...\right\}\)
Vì 0<x<400 nên:
\(\Rightarrow x\in\left\{120;240\right\}\)
^ Học tốt ^
a. A = { 0;1;2;3;4;5;6;7;8;9;10;11;12 }
b. B = { 17;18;19;20;21;22;23;24 }
c. C = { 0;2 }
d. D = { 0;6;12;18;24 }
Nhớ k nha bạn
a, \(\left|x-3\right|-16=-4\Leftrightarrow\left|x-3\right|=12\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}\Leftrightarrow\orbr{\begin{cases}x=15\\x=-9\end{cases}}}\)
b, \(26-\left|x+9\right|=-13\Leftrightarrow\left|x+9\right|=39\)
\(\Leftrightarrow\orbr{\begin{cases}x+9=39\\x+9=-39\end{cases}\Leftrightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}}\)
f, \(9x+25=-\left(2x-58\right)\Leftrightarrow9x+25=-2x+58\)
\(\Leftrightarrow11x-33=0\Leftrightarrow x=3\)
Làm nốt nhé !
a. \(\left|x-3\right|-16=-4\)
\(\Rightarrow\left|x-3\right|=12\)
\(\Rightarrow\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=15\\x=-9\end{cases}}\)
b. \(26-\left|x+9\right|=-13\)
\(\Rightarrow\left|x+9\right|=39\)
\(\Rightarrow\orbr{\begin{cases}x+9=39\\x+9=-39\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}\)
c. \(5-\left(10-x\right)=7\)
\(\Rightarrow10-x=-2\)
\(\Rightarrow x=12\)
d. \(11+\left(15-x\right)=1\)
\(\Rightarrow15-x=-10\)
\(\Rightarrow x=25\)
e. \(8x-75=5x+21\)
\(\Rightarrow8x-5x=75+21\)
\(\Rightarrow3x=96\)
\(\Rightarrow x=32\)
f. \(9x+25=-\left(2x-58\right)\)
\(\Rightarrow9x+25=-2x+58\)
\(\Rightarrow9x+2x=58-25\)
\(\Rightarrow11x=33\)
\(\Rightarrow x=3\)
g. \(\left|x+3\right|=4\)
\(\Rightarrow\orbr{\begin{cases}x+3=4\\x+3=-4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=-7\end{cases}}\)
h. \(15-\left|2x-1\right|=\left|-8\right|\)
\(\Rightarrow15-\left|2x-1\right|=8\)
\(\Rightarrow\left|2x-1\right|=7\)
\(\Rightarrow\orbr{\begin{cases}2x-1=7\\2x-1=-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4\\x=-4\end{cases}}\)
a, 117 - \(x\) = 28 - (-7)
117 - \(x\) = 28 + 7
117 - \(x\) = 35
\(x\) = 117 - 35
\(x\) = 82
b, \(x\) - (-38 - 2\(x\)) = (-3) - 8 + 2\(x\)
\(x\) + 38 + 2\(x\) = - 11 + 2\(x\)
3\(x\) + 38 = - 11 + 2\(x\)
3\(x\) - 2\(x\) = - 11 - 38
\(x\) = - 49