a) x = 2

b) x = 7.

c) x = 12

d) x = 45

e) x = 18.

f) x  = 10

a) x = 2.               

b) x = 7.

c) x= 12.

d)  x= 45.

e) x = 18.

f) x  = 10.

a) \(\left|x\right|-\frac{7}{6}=\frac{9}{15}\)

=> \(\left|x\right|=\frac{9}{15}+\frac{7}{6}=\frac{53}{30}\)

=> \(\orbr{\begin{cases}x=\frac{53}{30}\\x=-\frac{53}{30}\end{cases}}\)

b) \(\left|x-\frac{4}{3}\right|=\frac{1}{6}\)

=> \(\orbr{\begin{cases}x-\frac{4}{3}=\frac{1}{6}\\x-\frac{4}{3}=-\frac{1}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=\frac{7}{6}\end{cases}}\)

c) \(\left|x-\frac{4}{3}\right|-\frac{1}{3}=\frac{1}{2}\)

=> \(\left|x-\frac{4}{3}\right|=\frac{1}{2}+\frac{1}{3}\)

=> \(\left|x-\frac{4}{3}\right|=\frac{5}{6}\)

=> \(\orbr{\begin{cases}x-\frac{4}{3}=\frac{5}{6}\\x-\frac{4}{3}=-\frac{5}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{13}{6}\\x=\frac{1}{2}\end{cases}}\)

d) \(\frac{8}{3}-\left|\frac{7}{9}-x\right|=-\frac{1}{5}\)

=> \(\left|\frac{7}{9}-x\right|=\frac{43}{15}\)

=> \(\orbr{\begin{cases}\frac{7}{9}-x=\frac{43}{15}\\\frac{7}{9}-x=-\frac{43}{15}\end{cases}}\Rightarrow\orbr{\begin{cases}x=-\frac{94}{45}\\x=\frac{164}{45}\end{cases}}\)

e) \(\left|x-\left(\frac{1}{4}\right)^2\right|-\frac{25}{64}=0\)

=> \(\left|x-\frac{1}{16}\right|=\frac{25}{64}\)

=> \(\orbr{\begin{cases}x-\frac{1}{16}=\frac{25}{64}\\x-\frac{1}{16}=-\frac{25}{64}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{29}{64}\\x=-\frac{21}{64}\end{cases}}\)

f) \(\left(x-\frac{1}{4}\right)^2+\frac{17}{64}=\frac{21}{32}\)

=> \(\left(x-\frac{1}{4}\right)^2=\frac{25}{64}\)

=> \(\left(x-\frac{1}{4}\right)^2=\left(\frac{5}{8}\right)^2\)

=> \(\orbr{\begin{cases}x-\frac{1}{4}=\frac{5}{8}\\x-\frac{1}{4}=-\frac{5}{8}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{7}{8}\\x=-\frac{3}{8}\end{cases}}\)

a) x = 74    

b) x = 5 

c) x = 3      

d) x = 14

a, 4¹⁰. 2³⁰=2²⁰.2³⁰=2⁵⁰

b,9²⁵.27⁴.81³= 3⁵⁰.3¹².3¹²=3⁷⁴

Tương tự các câu khác....

a, 4¹⁰.2³⁰ = (2²)¹⁰.2³⁰ = 2²⁰.2³⁰ = 2⁵⁰
b, 9²⁵.27⁴.81³ = (3²)²⁵.(3³)⁴.(3⁴)³ = 3⁵⁰.3¹².3¹² = 3⁷⁴
c, 25⁵⁰.125⁵ = (5²)⁵⁰.(5³)⁵ = 5¹⁰⁰.5¹⁵ = 5¹¹⁵
d, 64³.4⁸.16⁴ = (2⁶)³.(2²)⁸.(2⁴)⁴ = 2¹⁸.2¹⁶.2¹⁶ = 2⁵⁰
e, 3⁸ : 3⁶ = 3²
2¹⁰ : 8³ = 2¹⁰ : (2³)³ = 2¹⁰ : 2⁹ = 2
12⁷ : 6⁷ = (12 : 6)⁷ = 2⁷
@Dương Tuyết Mai

a) => y+42+2y= -12-14+2y

y+2y-2y = -12-14-42

y= -68

b) => 15+y-5-5y= -12-5y

y-5y+5y= -12-15+5

y = -22

c) => 2y+5-8y+21= -3-5y-2

2y-8y+5y= -3-2-5-21

-y= -31=>y=31

d)=> -13+3y+23= -120+y

3y-y= -120+13-23

2y= -130=>y= -65

e) => -21+32+5y= 16+4y

5y-4y= 16+21-32

y= 5

bài 1

a)y-(-42-2y) = (-12) - 14 +2y

y +42 + 2y = -12 -14 +2y

3y + 42 = -26 +2y

y = -68

b)15-(-y+5)-5y=-(12+5y+2)

15+y-5-5y=-12-5y-2

10-4y=-14-5y

-4y+5y=-14-10=-24

c)2y-(-5+8y-21)=-3-(5y+2)

2y+5-8y+21=-3y-5y-2

-6y+26=-8y-2

-6y+8y=-2-26

2y=-28

y=-28/2=-14

a, -121 - [-35 - x] = 50

<=> -35 - x = -121 - 50

<=> -35 - x =  -171

<=> x = -171 + [-35] = -206

Vậy x = -206

b, 17 + x - [352 - 400] = -32

<=> 17 + x - [-48] = -32

<=> 17 + x + 48 = -32

<=> 17 + x = -32 - 48

<=> 17 + x = -80

<=> x = -80 - 17

<=> x = -97

Vậy x = -97

c, 2130 - [x + 130] + 72 = -64

<=> 2130 - [x + 130] = -64 - 72

<=> 2130 - [x + 130] = -136

<=> x + 130 = 2130 - [-136]

<=> x + 130 = 2130 + 136

<=> x + 130 = 2266

<=> x = 2266 - 130 = 2136

d, |x| - 5 = -1

<=> |x| = -1 + 5

<=> |x| = 4

<=> x = 4 hoặc x = -4

e, |x+ 2| - 12 = -1

<=> |x + 2| = -1 + 12

<=> |x + 2| = 11

<=> x + 2 = 11 hoặc x + 2 = -11

<=> x = 11 - 2 hoặc x = -11 - 2

<=> x = 9 hoặc x = -13

f,g Tương tự

a) -121 - (-35 - x) = 50

-121 + 35 + x = 50

x - 86 = 50

x = 50 + 86

x = 136

b) 17 + x - (352 - 400) = -32

17 + x - 352 + 400 = -32

x + 65 = -32

x = -32 - 65

x = -97

c) 2130 - (x + 130) + 72 = -64

2130 - x - 130 + 72 = -64

2072 - x = -64

-x = -64 - 2072

-x = -2136

x = 2136

d) |x| - 5 = -1

|x| = -1 + 5

|x| = 4

x = 4; -4

e) |x + 2| - 12 = -1

|x + 2| = -1 + 12

|x + 2| = 11

x + 2 = 11; -11

x + 2 = 11 hoặc x + 2 = -11

x = 11 - 2          x = -11 - 2

x = 9                 x = -13

f) 135 - |9 - x| = 35

-|9 - x| = 35 - 135

-|9 - x| = -100

|9 - x| = 100

9 - x = 100; -100

9 - x = 100 hoặc 9 - x = -100

x = 100 + 9            x = -100 + 9

x = 109                  x = -91

123 - 5 x 9

= 123 - 45

= 78

1257 x 2 - 345

= 2514 - 345

= 2169

99 x 9 + 357

=891 + 357

= 1248

4793 x 3 + 8

= 14379 + 8

=  14387

594 - 3 x 7

=594 - 21

= 537

555 - 177 x 2

= 555 - 354

= 201

345 : 3 + 9

= 115 + 9

=124

(345 + 555) x 3

= 900 x 3

= 2700

k cho mk nha Trần Đại Thành Danh

123-5*9=123-45=78

1257*2-345=2514-345=2169

99*9+357=891+357=1248

4793*3+8=14379+8=14387

594-3*7=594-21=573

555-177*2=555-254=201

345:3+9=115+9=124

(345+555)*3=900*3=2700

123 - 5 x 9=

=123- 45

=78

1257 x 2 - 345=

= 2514-345

=2169

99 x 9 + 357=

=891 + 357

=1248

4793 x 3 + 8=

= 14319 + 8

= 14387

594 - 3 x 7=

= 594 - 21

=537

555 - 177 x2=

= 555- 354

=201

345 : 3 + 9=

=115 + 9

=124

(345 + 555) x 3=

= 900 x 3

= 2700

nhớ k nhé