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5.
$4x+3\vdots x-2$
$\Rightarrow 4(x-2)+11\vdots x-2$
$\Rightarrow 11\vdots x-2$
$\Rightarrow x-2\in \left\{1; -1; 11; -11\right\}$
$\Rightarrow x\in \left\{3; 1; 13; -9\right\}$
6.
$3x+9\vdots x+2$
$\Rightarrow 3(x+2)+3\vdots x+2$
$\Rightarrow 3\vdots x+2$
$\Rightarrow x+2\in \left\{1; -1; 3; -3\right\}$
$\Rightarrow x\in \left\{-1; -3; 1; -5\right\}$
7.
$3x+16\vdots x+1$
$\Rightarrow 3(x+1)+13\vdots x+1$
$\Rightarrow 13\vdots x+1$
$\Rightarrow x+1\in \left\{1; -1; 13; -13\right\}$
$\Rightarrow x\in\left\{0; -2; 12; -14\right\}$
8.
$4x+69\vdots x+5$
$\Rightarrow 4(x+5)+49\vdots x+5$
$\Rightarrow 49\vdots x+5$
$\Rightarrow x+5\in\left\{1; -1; 7; -7; 49; -49\right\}$
$\Rightarrow x\in \left\{-4; -6; 2; -12; 44; -54\right\}$
** Bổ sung điều kiện $x$ là số nguyên.
1. $x+9\vdots x+7$
$\Rightarrow (x+7)+2\vdots x+7$
$\Rightarrow 2\vdots x+7$
$\Rightarrow x+7\in \left\{1; -1; 2; -2\right\}$
$\Rightarrow x\in \left\{-6; -8; -5; -9\right\}$
2. Làm tương tự câu 1
$\Rightarrow 9\vdots x+1$
3. Làm tương tự câu 1
$\Rightarrow 17\vdots x+2$
4. Làm tương tự câu 1
$\Rightarrow 18\vdots x+2$
a: \(\left(-11\right)\cdot\left(-28\right)+\left(-9\right)\cdot13\)
\(=308-117\)
=191
b: \(\left(-69\right)\cdot\left(-31\right)-\left(-15\right)\cdot12\)
\(=2139-\left(-180\right)\)
=2139+180
=2319
c: \(\left[16-\left(-5\right)\right]\cdot\left(-7\right)\)
\(=\left(16+5\right)\cdot\left(-7\right)\)
\(=-7\cdot21=-147\)
d: \(\left[\left(-4\right)\cdot\left(-9\right)-6\right]\left[\left(-12\right)-\left(-7\right)\right]\)
\(=\left[36-6\right]\left[-12+7\right]\)
\(=30\cdot\left(-5\right)=-150\)
6: =>x=9/10+1/5=9/10+2/10=11/10
7: =>x=3/8-5/12=36/96-40/96=-1/24
8: =>x=7/6-5/4=14/12-15/12=-1/12
9: =>x=1/35+2/7=1/35+10/35=11/35
10: =>x=2/7-7/10=20/70-49/70=-29/70
1: =>x=-5/3-1/2=-13/6
2: =>x=1/3-3/5=-4/15
4: =>x=-7/9+4/3=-7/9+12/9=5/9
5: =>x=5/6-7/3=5/6-14/6=-9/6=-3/2
6: =>x=9/10+1/5=11/10
7: =>x=3/8-5/12=36/96-40/96=-1/24
8: Đề sai rồi bạn
1) \(373737.73-37.737373\)
\(=37.10101.73-37.73.10101\)
\(=0\)
2) \(19.41414141-41.19191919\)
\(=19.41.1010101-41.19.1010101\)
\(=0\)
3) \(123456.456789456789-456789.123456123456\)
\(=123456.456789.1000001-456789.123456.1000001\)
\(=0\)
4) \(250.12.7\)
\(=250.4.3.7\)
\(=\left(250.4\right).\left(3.7\right)\)
\(=1000.21\)
\(=21000\)
5) \(24.125.9\)
\(=3.8.125.9\)
\(=\left(3.9\right).\left(8.125\right)\)
\(=27.1000\)
\(=27000\)
6) \(125.44.18\)
\(=125.4.11.2.9\)
\(=\left(125.4.2\right).\left(11.9\right)\)
\(=1000.99\)
\(=99000\)
7) \(8.24.6+12.4.52+2.22.24\)
\(=48.24+48.52+48.22\)
\(=48\left(24+52+22\right)\)
\(=48.98\)
\(=48\left(100-2\right)\)
\(=48.100-48.2\)
\(=4800-96\)
\(=4704\)
8) \(18.58.2-9.27.4+12.69.3\)
\(=36.58-36.27+36.69\)
\(=36\left(58-27+69\right)\)
\(=36.100=3600\)
9) \(30.85.3+18.72.5-45.37.2-9.20.10\)
\(=90.85+90.72-90.37-90.20\)
\(=90\left(85+72-37-20\right)\)
\(=90.100=9000\)
a) \(3^3.38+3.41+3^3.21\)
\(=3\left(3^2.38+41+3^2.21\right)\)
\(=3\left(342+41+189\right)\)
\(=3.527=1716\)
b) \(69.75+25.69-68.10^2\)
\(=69\left(75+25\right)-68.100\)
\(=69.100+68.100\)
\(=100\left(68+69\right)\)
\(=100.137=13700\)
c) \(5^9:5^7+3^{15}:3^{14}\)
\(=5^2+3\)
\(=25+3=28\)
d) \(2^3.17+2^3.39+2^3.24+2^3.20\)
\(=2^3.\left(17+39+24+20\right)\)
\(=8.100=800\)
1. x + (-7) = -20
=> x = -20 - (-7)
=> x = -20 + 7
=> x = -13
Vậy x = -13
2. x + (-15) = 5
=> x = 5 - (-15)
=> x = 5 + 15
=> x = 20
3. (-95) + x = 10
=> x = 10 - (-95)
=> x = 10 + 95
=> x = 105
4. 8+ x = 12
=> x = 12 - 8
=> x = 4
5. x + (-45) = -62 + 17
=> x + (-45) = -45
=> x = -45 - (-45)
=> x = -45 + 45
=> x = 0
6 . x + 29 = |-43| + (-43)
=> x + 29 = 43 + (-43)
=> x + 29 = 0
=> x = 0 - 29
=> x = -29
7 . 43 + (9 - 21) = 317 - (x + 317)
=> 43 + (-12) = 317 - x - 317
=> 31 = 317 - x - 317
=> 317 - x - 317 = 31
=> 317 - x = 31 + 317
=> 317 - x = 348
=> x = 317 - 348
=> x = -31
Mỏi tay quá , bn tự làm nốt nha :)
b ) \(2017-69.\left(11-x\right)=2^7:2^3\)
\(2017-69.\left(11-x\right)=2^4\)
\(2017-69.\left(11-x\right)=16\)
\(69.\left(11-x\right)=2017-16\)
\(69.\left(11-x\right)=2001\)
\(\left(11-x\right)=2001:69\)
\(11-x=29\)
\(x=11-29\)
\(x=-18\)
Vậy \(x=-18\)
Chúc bạn học tốt !!!
a ) \(20:\left(2x-3\right)=4\)
\(\left(2x-3\right)=20:4\)
\(2x-3=5\)
\(2x=5+3\)
\(2x=8\)
\(x=8:2\)
\(x=4\)
Vậy \(x=4\)
\(20+\left[\left(x-7\right)3-9\right]=69\)
\(\Rightarrow\left(x-7\right)3-9=49\)
\(\Rightarrow\left(x-7\right)3=58\)
\(\Rightarrow x-7=\frac{58}{3}\)
\(\Rightarrow x=\frac{79}{3}\)
20 + [ ( x - 7 ) . 3 - 9 ] = 69
<=> ( x - 7 ) . 3 - 9 = 49
<=> ( x - 7 ) . 3 = 58
<=> x - 7 = 58/3
<=> x = 79/3