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5x+6⋮x+2
=>5(x+2)-4⋮x+2
Mà x+2⋮x+2 =>5(x+2)⋮x+2
=>4⋮x+2
=>x+2∈Ư(4)={-4;-2;-1;1;2;4}
=>x∈{-6;-4;-3;-1;0;2}
Vì x+2 ⋮ x+2; 5 ∈ N
=> 5(x+2) ⋮ x+2
=> 5x +10 ⋮ x+2
Mà 5x + 6 ⋮ x+2
=> (5x+10)-(5x+6) ⋮ x+2
=> 4 ⋮ x+2
=> x+2 thuộc tập ước của 4
Mà ước của 4 = {1;-1;2;-2;4;-4}
=> x+2 ∈ {1;-1;2;-2;4;-4}
=> x ∈ {-1;-3;0;-4;2;-6}
Vậy x ∈ {-1;-3;0;-4;2;-6}
(\(\dfrac{2}{3}\) - \(\dfrac{11}{7}\) + \(\dfrac{13}{5}\)) - (5 - \(\dfrac{4}{7}\) + \(\dfrac{6}{5}\)) - (\(\dfrac{11}{3}\) - \(\dfrac{3}{5}\))
= \(\dfrac{2}{3}\) - \(\dfrac{11}{7}\) + \(\dfrac{13}{5}\) - 5 + \(\dfrac{4}{7}\) - \(\dfrac{6}{5}\) - \(\dfrac{11}{3}\) + \(\dfrac{3}{5}\)
= (\(\dfrac{2}{3}\) - \(\dfrac{11}{3}\)) - (\(\dfrac{11}{7}\) - \(\dfrac{4}{7}\)) + (\(\dfrac{13}{5}\) - \(\dfrac{6}{5}\)+ \(\dfrac{3}{5}\))
= \(\dfrac{-9}{3}\) - \(\dfrac{7}{7}\) + (\(\dfrac{7}{5}\) + \(\dfrac{3}{5}\)) - 5
= - 3 - 1 + 2 - 5
= - (3 + 1) - ( 5 - 2)
= - 4 - 3
= - 7
\(a,\dfrac{7}{12}-\left(x+\dfrac{7}{10}\right):\dfrac{6}{5}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x-\dfrac{7}{10}:\dfrac{6}{5}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x-\dfrac{7}{12}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x=\dfrac{5}{4}+\dfrac{7}{12}\)
\(\Leftrightarrow\dfrac{7}{12}-x=\dfrac{11}{6}\)
\(\Leftrightarrow x=\dfrac{7}{12}-\dfrac{11}{6}\)
\(\Leftrightarrow\dfrac{-5}{4}\)
52-2(3x-6)=10 3636:(12x-91)=36 2x+3=32
2(3x-6)=52-10 12x-91=3636:36 2x=32-3
2(3x-6)=42 12x-91=101 2x=29
3x-6=42:2 12x=101+91 x=29:2 (loại vì x thuộc N)
3x-6=21 12x=192
3x=21+6 x=192:12=16
3x=27
x=27:3=9
2x.8=512 (24-x)3=64
2x=512:8 (24-x)3=43
2x=64 => 24-x=4
x=64:2=32 x=24-4=20
a,52-2(3x-6)=10
2(3x-6)=52-19=42
3x-6=42:2=21
3x=21+6=27
x=27:3
x=9
b,3636:(12x-91)=36
12x-91=3636:36=101
12x=101+91=192
x=192:12
x=16
c,2x+3=32
2x=32-3=29
x=29:2
x=29/2.Vì x thuộc tập số tự nhiên=> không tồn tại x thỏa mãn đề bài
d,2x.8=512
2x=512:8=64
x=64:2
x=32
e,(24-x)^3=64
(24-x)^3=4^3
=>24-x=4
x=24-4
x=20
a)27^6:9^3=(3^3)^6:(3^2)^3=3^18:3^6=3^12
b)4^20:2^15=(2^2)^20:2^15=2^40:2^15=2^25
a) 27^6 : 9^3
= ( 3^3)^6 : ( 3^2)^3
= 3^18 : 3^6
= 3^12
b) 4^20 : 2^15
= ( 2^2)^20 : 2^15
= 2^40 : 2^15
= 2^25
d) 64^4 x 16^5 : 4^20
= (4^3)^4 x (4^2)^5 : 4^20
= 4^12 x 4^10 : 4^20
= 4^22 : 4^20
= 4^2
b, -418 - {- 418 - [ -418 - (-418) + 2021]}
= -481 - { -418 - [ 0 + 2021]}
= -481 + 418 + 2021
= 2021
d, 23 - 501 - 343 + 61 - 257 + 16 - 499
= (23 + 61 + 16) - (501 + 499) - (343 + 257)
= 100 - 1000 - 600
= 100 - 1600
= -1500
e, 743 - 231 + (-495) - (-69) - 38 + (-117)
= 512 - 426 - 155
= 86 - 155
= - 69
a) 123- 5(x+4)=38 b(3x -2^4 )*7^3= 2*7^4
5(x+4) =123-38 (3x-16) = 2*7^4 /7^3
5(x+4)=85 3x-16= 2*7
x+4=85/5 3x-16=14
x+4=17 3x=30
=>x= 13 x= 30/3=10
Nhớ k cho mk nha
a ) \(123-5.\left(x+4\right)=38\)
\(5.\left(x+4\right)=123-38\)
\(5.\left(x+4\right)=85\)
\(x+4=85:5\)
\(x+4=17\)
\(x=17-4\)