a,\(-12\left(x-5\right)+7\left(3-x\right)=5\)

\(\Leftrightarrow-12x+60+21-7x=5\)

\(\Leftrightarrow76=19x\Leftrightarrow x=4\)

b,\(30\left(x+2\right)-6\left(x-5\right)=100+24x\)

\(\Leftrightarrow30x+60-6x+30-100-24x=0\)

\(\Leftrightarrow30x-6x-24x=100-30-60\)

\(\Leftrightarrow0x=10\)(vô lý)

a, -12.( x - 5 )+ 7.( 3 - x) = 5                                           

-12.x - (-12).5 + 7.3 - 7.x = 5

-12.x + 60 + 21 - 7.x = 5

-12.x - 7.x + 60 +21 = 5

(-12 - 7).x + 81 = 5

-19.x + 81 = 5

-19.x = 5 - 81

-19.x = -76

x = -76 : (-19)

[nếu vẫn chưa hiểu: -76 : (-19) = (-76)/(-19)]

x = 4

b, 30.(x + 2) - 6.(x - 5) = 100 + 24.x

30.(x + 2) - 6.(x - 5) - 24.x = 100

30.x + 30.2 - 6.x -(-6).5 - 24.x = 100

30.x + 60 -6.x +30 - 24.x =100

(30.x - 6.x - 24.x) + 60 +30 = 100

x.(30 - 6 - 24) + 90 = 100

x.0 = 100 - 90

x.0 = 10( vô lí)

Vậy => x không tồn tại

a) 2/3     b)-1/4      c)1   d)  7/2

1)x=-30

2)x=-81

3)x=4

4)x=62

5)x=6

6)-13

7)-13

8)-31

9)x=-6;0;6;12

tk minh nha

bạn không có lời giải

Bạn ơi bạn làm đc bao nhiêu thì làm phụ mình nhé 

bài1

a, 

5 - 7 + 3 +(-8)

= -2 + 3 + ( - 8)

=     1    + (-8)= -7

a; - (-5) - (+7) + (+3) + (-8)

  = 5 - 7 + 3  - 8

= (5 + 3 - 8) - 7

= (8 - 8) - 7

= 0 - 7

= - 7

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

= 45

12 : 6 = 2

15 : 5 = 3

20 : 5 = 4

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

= 45

12 : 6 = 2

15 : 5 = 3

20 : 5 = 4

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

= 45

12 : 6 = 2

15 : 5 = 3

20 : 5 = 4

\(a,=\frac{7-1}{1.3.7}+\frac{9-3}{3.7.9}+\frac{13-7}{7.9.13}+\frac{15-9}{9.13.15}\)\(+\frac{19-13}{13.15.19}\)

\(=\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+\frac{1}{7.9}-\frac{1}{9.13}+\frac{1}{9.13}-\frac{1}{13.15}+\frac{1}{13.15}-\frac{1}{15.19}\)

\(=\frac{1}{1.3}-\frac{1}{15.19}=\frac{95}{285}-\frac{1}{285}=\frac{94}{285}\)

\(b,=\frac{1}{6}.\left(\frac{6}{1.3.7}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\right)\)

làm giống như trên

\(c,=\frac{1}{8}.\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{48.49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{48.49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+\frac{5-3}{3.4.5}+...+\frac{50-48}{48.49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{48.49}-\frac{1}{49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{1}{2}-\frac{1}{2450}\right)=\frac{1}{16}.\left(\frac{1225}{2450}-\frac{1}{2450}\right)=\frac{153}{4900}\)

\(d,=\frac{5}{7}.\left(\frac{7}{1.5.8}+\frac{7}{5.8.12}+\frac{7}{8.12.15}+...+\frac{7}{33.36.40}\right)\)

\(=\frac{5}{7}.\left(\frac{8-1}{1.5.8}+\frac{12-5}{5.8.12}+\frac{15-8}{8.12.15}+...+\frac{40-33}{33.36.40}\right)\)

\(=\frac{5}{7}.\left(\frac{1}{1.5}-\frac{1}{5.8}+\frac{1}{5.8}-\frac{1}{8.12}+\frac{1}{8.12}-\frac{1}{12.15}+...+\frac{1}{33.36}-\frac{1}{36.40}\right)\)

\(=\frac{5}{7}.\left(\frac{1}{5}-\frac{1}{1440}\right)=\frac{5}{7}.\left(\frac{288}{1440}-\frac{1}{1440}\right)=\frac{41}{288}\)

P/S: . là nhân nha

sxasxsxxsxsxssxsxsxsxsx232332321322

Cái này dễ thế mà ko bít lm

11.

Tham khảo:
Rút gọn - Hoc24

8.

\(\Leftrightarrow sin^4x-cos^2x=2sinx.cosx\)

Nhận thấy \(cosx=0\) không phải nghiệm, chia 2 vế cho \(cos^4x\) ta được:

\(tan^4x-\dfrac{1}{cos^2x}=2tanx.\dfrac{1}{cos^2x}\)

\(\Leftrightarrow tan^4x-\left(1+tan^2x\right)=2tanx\left(1+tan^2x\right)\)

\(\Leftrightarrow tan^4x-2tan^3x-tan^2x-2tanx-1=0\)

Wel well, đề bài sai, phương trình bậc 4 này không giải được

9.

ĐKXĐ: \(\left[{}\begin{matrix}x\ne\pm\dfrac{\pi}{4}+k\pi\\x\ne\dfrac{\pi}{2}+k\pi\end{matrix}\right.\)

\(\dfrac{cos^2x.tanx}{cos^2x\left(1-tan^2x\right)}-2\sqrt{2}sinx.cosx=\dfrac{1}{2}\)

\(\Leftrightarrow\dfrac{sinx.cosx}{cos^2x-sin^2x}-\sqrt{2}sin2x=\dfrac{1}{2}\) 

\(\Leftrightarrow\dfrac{sin2x}{cos2x}-2\sqrt{2}sin2x=1\)

\(\Leftrightarrow sin2x-2\sqrt{2}sin2x.cos2x=cos2x\)

\(\Leftrightarrow sin2x-cos2x=\sqrt{2}sin4x\)

\(\Leftrightarrow\sqrt{2}sin\left(2x-\dfrac{\pi}{4}\right)=\sqrt{2}sin4x\)

\(\Leftrightarrow sin\left(2x-\dfrac{\pi}{4}\right)=sin4x\)

\(\Leftrightarrow\left[{}\begin{matrix}4x=2x-\dfrac{\pi}{4}+k2\pi\\4x=\dfrac{5\pi}{4}-2x+k2\pi\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{8}+k\pi\\x=\dfrac{5\pi}{16}+\dfrac{k\pi}{6}\end{matrix}\right.\)

A=1/2-1/3+1/3-1/4+...+1/149-1/150

=1/2-1/150

=37/75

B=3A=37/25

\(A=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{149\cdot150}\)

\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{149}-\frac{1}{150}\)

\(A=\frac{1}{2}-\frac{1}{150}\)

\(A=\frac{75}{150}-\frac{1}{150}\)

\(A=\frac{74}{150}=\frac{37}{75}\)

Vậy \(A=\frac{37}{75}\)

1. -x+20 = -(-15)-8+13

=> -x=15-8+13-20

=> -x=0

=> x=0

2. -(-10)+x=-13+(-9)+(-6)

=> 10+x=-13-9-6

=> x = -13-9-6-10

=> x = -38

3. 8-(-12)+10=-(-14)-x

=> 8+12+10=14-x

=> x = 14-8-12-10

=> x = -16

4. -(+12)+(-x)-(-3)=5-(-7)

=> -12-x+3=5+7

=> -x=5+7+12-3

=> -x=21

=> x=-21

5. 14-x+(-10)=-(-9)+(+15)

=> 14-x-10=9+15

=> -x=9+15-14+10

=> -x=20

=> x=-20

6. 12-(-17)+(-3)=-5+x

=> 12+17-3+5=x

=> x=31

7. x-(-19)-(+32)=14-(+16)

=> x+19-32=14-16

=> x=14-16+32-19

=> x=11

8. x-|-15|-|7|=-(-9)+|-5|

=> x-15-7=9+5

=> x=9+5+7+15

=> x=36

9. 15-x+17=13-(-21)

=> 15-x+17=13+21

=> -x=13+21-15-17

=> -x=2

=> x=-2

10. -|-5|-(-x)+4=3-(-25)

=> -5+x+4=3+25

=> x=3+25-4+5

=> x=29