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a) \(\frac{3}{7}-x=\frac{1}{4}-\left(-\frac{3}{-5}\right)\)
\(\Rightarrow\frac{3}{7}-x=\frac{1}{4}-\frac{3}{5}\)
\(\Rightarrow\frac{3}{7}-x=\frac{-7}{20}\)
\(\Rightarrow x=\frac{3}{7}-\left(\frac{-7}{20}\right)=\frac{3}{7}+\frac{7}{20}\)
\(\Rightarrow x=\frac{109}{140}\)
b) \(\frac{-21}{-13x}+\frac{1}{3}=\frac{-2}{-3}\)
\(\Rightarrow\frac{21}{13x}+\frac{1}{3}=\frac{2}{3}\)
\(\Rightarrow\frac{21}{13x}=\frac{2}{3}-\frac{1}{3}=\frac{1}{3}\)
\(\Rightarrow13x=\frac{3.21}{1}=63\Rightarrow x=\frac{63}{13}\)
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Bài 1 :
\(a)3^5\cdot4^5=12^5\)
Bài 2 :
\(a)\)Ta có : \((2x+1)^3=27\)
\(\Rightarrow(x+1)^3=3^3\)
\(\Rightarrow2x-1=3\)
\(\Rightarrow x=3+1\)
\(\Rightarrow x=4\)
\(\Rightarrow x=\frac{4}{2}\Rightarrow x=2\)
Còn câu b tự làm nhé
\(3^5.4^5=\left(3.4\right)^5=12^5=248832\)
\(\left(2x+1\right)^3=27\)
<=> \(\left(2x+1\right)^3=3^3\)
<=> \(2x+1=3\)
<=> \(x=1\)
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a) 84+16+216-10
= (16+216-10)+84
= 222+84 = 306
b) 20*12+20*21+67*20
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\(3\left|x-1\right|=\left|-27\right|\)
\(\Leftrightarrow3\left|x-1\right|=27\)
\(\Leftrightarrow\left|x-1\right|=9\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=9\\x-1=-9\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=10\\x=-8\end{cases}}\)
Vậy \(x\in\left\{10;-8\right\}\)
3.I x- 1 I = 27
I x - 1 I = 27 : 3
I x - 1 I = 9
\(\orbr{\begin{cases}x-1=9\\x-1=-9\end{cases}}\Leftrightarrow\)
\(\orbr{\begin{cases}x=10\\x=-8\end{cases}}\)
Vậy \(x\in\left(10;-8\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
tách ra từng cặp 1: 12/16 = x/4 => x= 12*4/16=3
12/16 = 21/y => y= 16*21/12=28
12/16 = z/80 => z= 12*80/16= 60
a)tách ra từng cặp 1: 12/16 = x/4 => x= 12*4/16=3
12/16 = 21/y => y= 16*21/12=28
12/16 = z/80 => z= 12*80/16= 60
![](https://rs.olm.vn/images/avt/0.png?1311)
1 .
a) 2155-(174+2155)+(-68+174)
=2155-174-2155-68+174
=(2155-2155)+(-174+174)-68
=-68
b) 35(14-23)-23(14-35)
=35.(-9) - 23.(-21)
=-315+483
=168
c) -1911-(1234-1911)
= -1911-1234+1911
=(-1911+1911)-1234
=-1234
d) 32.(-39)+16.(-22)
=16[2.(-39)-22]
=16(-78-22)
=16.(-100)
=-1600
2. Tìm x
a) 3x+17=2
=>3x=-15
=>x=-5
b) -5x -(-3)=13
=>-5x+3=13
=>-5x=10
=>x=-2
c) 45-(x-9)=-35
=>x-9=80
=>x=89
d) 15-(x-7)= -21
=>x-7=36
=>x=43
e) (7-x).(x+19)=0
=>7-x=0 hoặc x+19=0
+)TH1: 7-x=0=>x=7
+)TH2: x+19=0=>x=-19
P/s: Tự KL nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(x^2+3⋮x+1\)
\(\Rightarrow x.\left(x+3\right)⋮x+1\)
\(\Rightarrow\left[x.\left(x+1\right)+2\right]⋮x+1\)
\(\Rightarrow2⋮x+1\Rightarrow x+1\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
+) \(x+1=-1\Rightarrow x=-2.\)
+) \(x+1=1\Rightarrow x=0.\)
+) \(x+1=-2\Rightarrow x=-3.\)
+) \(x+1=2\Rightarrow x=1.\)
Vậy \(x\in\left\{-3;-2;0;1\right\}\).
![](https://rs.olm.vn/images/avt/0.png?1311)
1 .tìm x :
a) 2 ^x : 2 ^5 =1
vì a:a=1 nên 2^x=2^5
Vậy x= 5
b)9^x - 1 =9
9^x=9+1
9^x=10(vô lí)
Vậy ko tìm được x thỏa mãn điều kiện.
c) ( x -2) +3=11
x-2=11-3
x-2=8
x=8+2
x=10
Vậy x=10
d) 3 | x -5| - 4 =5
3|x-5|=5+4
3|x-5|=9
|x-5|=9:3
|x-5|=3
TH1:
x-5=3
x=3+5
x=8
TH2:
x-5=-3
x=-3+5
x=2
Vậy x=2;x=8
a, -2 x 3 + (-4) - 7 x 0 +1
= -6 - 4 - 0 +1
= -10 +1
= -9
a, -2 x 3 + (-4 ) - 7 x 0 + 1
= -6 - 4 - 0 + 1
= -10 + 1
= -9.
>3