a, \(x+29=\left|-43\right|+\left(-43\right)\)

\(\Rightarrow x+29=0\)

\(\Rightarrow x=-29\)

c, \(\left(-1\right)+3+\left(-5\right)+7+...+x=600\)

\(\Rightarrow2+2+....+x=600\)

Để kết quả bằng 600 thì phải có 3000 cặp số tương ứng có 600 số trong dãy số và x là số 600 cuối cùng \(\Rightarrow x=1199\)

g, \(2+\left(-4\right)+6+\left(-8\right)+...+\left(-x\right)=-2000\)

\(\Leftrightarrow\left(-2\right)+\left(-2\right)+...+\left(2\right)=-2000\)

\(\Leftrightarrow\left(-2\right).\left(\dfrac{x-2}{2}+1\right)=-200\)

\(\Leftrightarrow\dfrac{x-2}{2}+1=400\)

\(\Leftrightarrow x=800\)

-Chúc bạn học tốt-

Giải:

a) \(x+29=\left|-43\right|+\left(-43\right)\) 

    \(x+29=43+\left(-43\right)\) 

    \(x+29=0\) 

            \(x=0-29\) 

            \(x=-29\) 

b) \(\left|x\right|-\left(-2\right)=\left(-1\right)\) 

                \(\left|x\right|=\left(-1\right)+\left(-2\right)\) 

                \(\left|x\right|=-3\) 

Vì giá trị tuyệt đối của một số ko bao giờ đc kết quả là số âm nên x ∈ ∅.

c) \(\left(-1\right)+3+\left(-5\right)+7+...+x=600\) 

\(\Rightarrow2+2+...+2=600\) 

\(\Rightarrow2.\left(\dfrac{x-1}{2}+1\right):2=600\) 

\(\Rightarrow\dfrac{x-1}{2}+1=600\) 

\(\Rightarrow\dfrac{x-1}{2}=599\) 

\(\Rightarrow x-1=1198\) 

\(\Rightarrow x=1199\) 

Chúc bạn học tốt!

b; |\(x\)| - (-2) = (-1)

    |\(x\)| + 2 = -1

    |\(x\)| = - 1 - 2

    |\(x\)| = -3 (vô lý vì |\(x\)| ≥ 0 ∀\(x\)

Vậy \(x\in\varnothing\)

1. \(x-8+32=68\)

\(x-8=68-32\)

\(x-8=36\)

\(x=36+8\)

\(x=44\)

_____

2. \(x+8+32=68\)

\(x+8=68-32\)

\(x+8=36\)

\(x=36-8\)

\(x=28\)

_____

3. \(98-x+34=43\)

\(98-x=43-34\)

\(98-x=9\)

\(x=98-9\)

\(x=89\)

_____

4. \(98+x-34=43\)

\(98+x=43+34\)

\(98+x=77\)

\(x=77-98\)

\(x=-21\)

_____

5. \(x:5:4=800\)

\(x:5=800.4\)

\(x:5=3200\)

\(x=3200.5\)

\(x=16000\)

_____

6. \(18+x=384:8\)

\(18+x=48\)

\(x=48-18\)

\(x=30\)

_____

7. \(\left(84,6-2\times x\right):3,02=5,1\)

\(84,6-2.x=5,1.3,02\)

\(84,6-2.x=15,402\)

\(2.x=84,6-15,402\)

\(2.x=69,198\)

\(x=69,198:2\)

\(x=34,599\)

_____

8. \(x\times5=120:6\)

\(x.5=20\)

\(x=20:5\)

\(x=4\)

_____

9. \(\left(15\times24-x\right):0,25=100:0,25\)

\(\left(15.24-x\right):0,25=400\)

\(15.24-x=400.0,25\)

\(15.24-x=100\)

\(360-x=100\)

\(x=360-100\)

\(x=260\)

1,x-8+32=68

=>x-8=68-32=36

=>x=36+8=42

2,x+8+32=68

=>x+8=68-32=36

=>x=36-8=28

3,98-x+34=43

=>98-x=43-34=9

=>x=98-9=89

4,98+x-34=43

=>98+x=43+34=77

=>x=77-98=-21

5,x:5:4=800

=>x:20=800

=>x=800x20=16000

6,18+x=384:8=48

=>x=48-18=30

7,(84,6-2x):3,02=5,1

=>84,6-2x=5,1x3,02=15,402

=>2x=84,6-15,402=69,198

=>x=69,198:2=34,599

8,5x=120:6=20

=>x=20:5=4

9,(15x24-x):0,25=100:0,25=400

=>360-x=400x0,25=100

=>x=360-100=260.

1. \(...\Rightarrow x+24=68\Rightarrow x=68-24=44\)

2. \(...\Rightarrow x+40=68\Rightarrow x=68-40=28\)

3. \(...\Rightarrow3^{2\left(8+x\right)}=9=3^2\Rightarrow2\left(8+x\right)=2\Rightarrow8+x=1\Rightarrow x=-7\)

4. \(...\Rightarrow3^{2\left(8+x\right)}=77\) (bạn xem lại đề)

5. \(...\Rightarrow x:5=800.4\Rightarrow x:5=3200\Rightarrow x=3200.5=16000\)

6. \(...\Rightarrow18+x=48\Rightarrow x=48-18=30\)

7. \(...\Rightarrow84,6-2x=5,1.3,02=15,402\Rightarrow2x=84,6-15,402\Rightarrow2x=69,198\Rightarrow x=34,599\)

8. \(...\Rightarrow5.x=20\Rightarrow x=20:5=4\)

9. \(\left(360-x\right):0,25=400\Rightarrow360-x=400.0,25=100\Rightarrow x=400-100=300\)

\(\frac{\text{( 100 + 72)}}{43x}=\frac{172}{43x}\Rightarrow172:2=86\)

=>\(86:43=2\)

vậy x=2

(10² + 2 . 6²) : (43.x) =2

(100 + 2 . 36 ) : (43x) = 2

 (100 + 72 ) : (43x) = 2

=> 172 : (43x) =2

=>          43x=172:2

=>           43x=86

=>              x=86:43

=>              x=2

3(x-1)2=2 49

 x-1    =2 49+6

 x-1    =8 49

x        =8 49-1 

x        =9 49

3737 x 43 - 4343 x 37 / 2 + 4 + 6 + ... +100
= 3737 x 43 - 4343 x 37 / 2 + 4 + 6+ ....+ 100
= 0/ 2 + 4+ 6 + ...+ 100
= 0
het rui
 

1/ \(2.\left(-2\right)^3+5.\left(-6\right)-\left(-26\right)\)

\(=2.8+\left(-30\right)-\left(-26\right)\)

\(=16+\left(-30\right)-\left(-26\right)\)

\(=-14-\left(-26\right)\)

\(=12\)

2/ \(\left(-12\right)+\left(17-x\right)=6\)

\(17-x=6-\left(-12\right)\)

\(17-x=18\)

\(x=17-18=-1\)

3/ \(\left(x-1\right)^2=4\)

\(\Rightarrow\left(x-1\right)^2=2^2\)

\(\Rightarrow x-1=2\)

\(\Rightarrow x=3\)

Chúc bạn học tốt nha

2.(-2)^3+5.(-6)-(-26)=2.(-8)+5.(-6)-(-26)=(-16)+(-30)-(-26)=-20

-12+(17-x)=6

         17-x=6-(-12)

         17-x=18

              x=17-18

              x=-1

(x-1)^2=4

 =>x-1=2

        x=2+1

        x=3

57.(43-14)-43.(57+14)=57.29-43.71=1653-3053=-1400

a: =>2x+10=4^2=16

=>2x=6

=>x=3

b: =>2x-138=8*9=72

=>2x=138+72=210

=>x=105

c: =>231-(x-6)=103

=>x-6=128

=>x=134

\(a.10+2x=4^5:4^3\\ \Leftrightarrow10+2x=4^2\\ \Leftrightarrow2x=6\\ \Leftrightarrow x=3\)

\(b.2x-138=2^3.3^2\\ \Leftrightarrow2x-138=72\\ \Leftrightarrow x=210:2\\ \Leftrightarrow x=105\)

\(c.231-\left(x-6\right)=1339:13\\ \Leftrightarrow231-\left(x-6\right)=103\\ \Leftrightarrow x-6=128\\ \Leftrightarrow x=134\)

Chú ý : Nếu bạn chưa học \(\Leftrightarrow\)  thì bạn bỏ đi nha !

Bài 1: Máy tính nha bạn

Bài 2

a)\(137.6+63.6+200.4\)

\(=6\left(137+63\right)+200.4\)

\(=6.200+200.4\)

\(=200.\left(6+4\right)=200.10=2000\)

b)\(42.43+43.57+43\)

\(=43\left(42+57+1\right)\)

\(=43.100=4300\)

c)\(754.75-2262.25+4568\)

=\(754.3.25-2262.25+4568\)

\(=2262.25-2262.25+4568\)

\(=0+4568=4568\)