1 6 − 2 5 < x 30 ≤ 1 2 − 8 15 ⇒ 5 30 − 12 30 < x 30 ≤ 15 30 − 16 30 ⇒ − 7 30 < x 30 ≤ − 1 30 ⇒ − 7 < x ≤ − 1 ⇒ x ∈ − 6 ; − 5 ; − 4 ; − 3 ; − 2 ; − 1

a) x - (-7) = -8 + (-2)

x + 7 = -8 - 2

x + 7 = -10

x = -10 - 7

x = -17

b) x + (12 - 15) = /-3/ - 7

x + (-3) = 3 - 7

x - 3 = -4

x = -4 + 3

x = -1

c) (12 - x) - (-10) = -25

(12 - x) + 10 = -25

12 - x = -25 - 10

12 - x = -35

x = 12 - (-35)

x = 12 + 35 = 47

d) (-20) - (15 - x) = -50

15 - x = -20 - (-50)

15 - x = -20 + 50

15 - x = -30

x = 15 - (-30)

x = 15 + 30

x = 45

a,x-77-(-73)=34

x-77        =34+(-73)

x-77        =-39

x             =(-39)+77

x             =38

b,25-(x+8)-25=46

25-(X+8)       =46-25

25-(x+8)        =21

x+8               =25-21

x+8               =4

x                   =4-8

x                    =-4

a: \(=68\cdot72\cdot49\cdot\left[324-324\right]=0\)

b: \(=\left(1250-1250\right)\cdot\left(1+...+100\right)=0\)

\(a,\left(68\times72\times49\right)\times\left(27\times12-9\times36\right)=\left(68\times72\times49\right)\times0=0\\ b,\left(25\times50-125\times10\right)\times\left(1+2+...+100\right)=0\times\left(1+2+...+100\right)=0\)

a, ( 68 × 72 × 49 ) × ( 27 × 12 − 9 × 36 ) = ( 68 × 72 × 49 ) × 0 =

b, ( 25 × 50 − 125 × 10 ) × ( 1 + 2 + ... + 100 ) = 0 × ( 1 + 2 + ... + 100 ) = 0

1/2×(2×x-3)+105/2=-137/2

1/2×(2×x-3)=-137/2-105/2

1/2×(2×x-3)=-242/2

2×x-3=-242/2:1/2

2×x-3=-242

2.x=(-242)+3

2.x=239

x=239:2

x=239/2

A,-12×25-25×75-25×13

=[(-12)-75-13].25

=(-100).25

-2500

B,-50/7×49/10-35/2×-10/7+ -25/3× -9/5

=(-35)-(-25)+(-13)

=-23

C,-354+265-156+125

=[(-354)-156]+(265+125)

=(-510)+277

=-233

D,-74+40-50+16-35

=(-74)+40+(-50)+16+(-35)

=[(-74)+(-35)]+[40+(-50)+16]

=(-109)+26

=-83

E,-2/3×4/5+-4/5×4/3-0,125

=-2/3.4/5+4/5.(-4/3)-0,125

=4/5.[-2/3+(-4/3)]-0,125

=4/5.(-2)-0,125

=-8/5-0,125

=(-1,6)+(-0,125)

=-1,725

a) x + 5 = 25 - x 

=> x = 10

THử lại: 10 + 5 = 25 - 10

b) x - 15 + 10 = 50

x - 15 = 50 - 10

x - 15 = 40

x = 40 + 15

x = 55

a , x + 5 = 25 - x

     x + x = 25 - 5

     2x     = 20 

       x     = 20 : 2 

       x = 10

b , x - 15 + 10 = 50 

     x - 15 = 50 -10

     x - 15 = 40

            x = 40 + 15

            x = 55 

a,      x+5=25-x

       x+x=25-5

        2x=20

        x=20:2

        x=10

b,x-15+10=50

   x=50-10+15

   x=40+15

   x=55

Lời giải:

a. $145-135(x-2)^2=10$

$135(x-2)^2=145-10=135$

$(x-2)^2=135:135=1=1^2=(-1)^2$
$\Rightarrow x-2=1$ hoặc $x-2=-1$

$\Rightarrow x=3$ hoặc $x=1$

--------------------------

b.

$x\in Ư(36); x\geq 12$

$\Rightarrow x\in\left\{12; 18; 36\right\}$

c.

$x-1=B(9)\Rightarrow x-1\in\left\{0; 9; 18; 27; 36; 45;54;.....\right\}$

$\Rightarrow x\in\left\{1; 10; 19; 28; 37;46; 55;....\right\}$

Mà $25< x< 50$ nên $x\in\left\{28; 37; 46\right\}$