a) x - 28 : 7 = 16

x - 4 = 16

x = 16 + 4

x = 20

b) 3x - 63 = 9³⁰ : 9²⁸

3x - 63 = 9²

3x - 63 = 81

3x = 81 - 63

3x = 18

x = 18 : 3

x = 6

a: Ta có: \(\left(x^2+2\right)\left(x-4\right)-\left(x+2\right)^3=-16\)

\(\Leftrightarrow x^3-4x^2+2x-8-x^3-6x^2-12x-8=-16\)

\(\Leftrightarrow-10x^2-10x=0\)

\(\Leftrightarrow-10x\left(x+1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)

c: Ta có: \(x^3+3x^2+3x+28=0\)

\(\Leftrightarrow\left(x+1\right)^3=-27\)

\(\Leftrightarrow x+1=-3\)

hay x=-4

a) \(2^x\cdot4=16\)

\(\Rightarrow2^x=16:4\)

\(\Rightarrow2^x=4\)

\(\Rightarrow2^x=2^2\)

\(\Rightarrow x=2\)

b) \(3^x\cdot3=243\)

\(\Rightarrow3^x=243:3\)

\(\Rightarrow3^x=81\)

\(\Rightarrow3^x=3^4\)

\(\Rightarrow x=4\)

a. 2x + 3x = 1505

=> (2+3)x=1505

=> 5x=1505

=> x=1505:5

=> x=301

b. 928-(31+x)=128

=> 31+x=928-128

=> 31+x=800

=> x=800-31

=> x=769

Th1: 2x+3 ≥ 0
Khi đó: |2x+3| =x+2
 (2x+3)= x+2
- 2x+3= x+2
-2x-x= 2-3
 x= -1
Th2: 2x+3 < 0
Khi đó: |2x+3|=x+2
 -(2x+3) = x +2
 -2x-3 = x+2
 -3x = 5
 x=-5/3

Vậy x= -1

      x= -5/3

Lớp 6 cugx học dạng v nè

`x/2=y/3 <=> x/8=y/12;

`y/4=z/5 <=> y/12=z/15.`

`<=> x/8=y/12=z/15=(x^2-y^2)/(64-144)=16/80=1/5`.

`@ x/8=1/5 <=> x= 8/5`.

`@ y/12=1/5 <=> y=12/5`.

`@ z/15=1/5 <=> y=15/5`.

Vậy...

Lời giải:

a. Đặt $\frac{x}{2}=\frac{y}{3}=a\Rightarrow x=2a; y=3a$

$x^2-y^2=(2a)^2-(3a)^2=-16$

$\Rightarrow -5a^2=-16\Rightarrow a=\pm \frac{4}{\sqrt{5}}$

Nếu $a=\frac{-4}{\sqrt{5}}$ thì:

$x=2a=\frac{-8}{\sqrt{5}}; y=3a=\frac{-12}{\sqrt{5}}; z=\frac{5}{4}y=-3\sqrt{5}$

Nếu $a=\frac{4}{\sqrt{5}}$ thì:

$x=2a=\frac{8}{\sqrt{5}}; y=3a=\frac{12}{\sqrt{5}}; z=\frac{5}{4}y=3\sqrt{5}$

b.

Nếu $x\geq \frac{-3}{2}$ thì:

$2x+3=x+2$

$\Leftrightarrow x=-1$

Nếu $x< \frac{-3}{2}$ thì:

$-2x-3=x+2$

$\Leftrightarrow -5=3x\Leftrightarrow x=\frac{-5}{3}$

Thử lại thấy 2 giá trị $-1, \frac{-5}{3}$ đều tm

c.

$f(x)=-3x+6=0$

$\Leftrightarrow -3x=-6\Leftrightarrow x=2$

Vậy $x=2$ là nghiệm của đa thức.

(x-100)/24 + (x-98)/26 + (x-96)/28 = 3 
<=> (x - 100)/24 -1 + (x-98)/26-1 (x-96)/28 -1 = 0 
<=>(x-124)/24 + (x-124)/26 + (x - 124)/28 =0 
<=>(x - 124) (1/24+1/26+1/28) = 0 
vì 1/24+1/26+1/28 khác 0 
=> x - 124 = 0 
=> x = 124 
2) (x-1)/65 + (x-3)/63 = (x-5)/61 + (x-7)/59 
tương tự: 
(x-1)/65 -1 +(x -3)/63 -1 = (x-5)/61-1 + (x-7)/59 -1 
rút gọn được: 
(x - 66).(1/65 + 1/63) = (x -66).(1/61 + 1/59) 
(x - 66).(1/65 + 1/63 - 1/61 -1/59) = 0 
=> x = 66 (lý luận tương tự câu trên) 

a . x= 124

b.x=66

A/ \(\frac{4}{5}+\frac{1}{5}x=\left(-\frac{1}{28}\right)\)

\(\frac{1}{5}x=\left(-\frac{1}{28}\right)-\frac{4}{5}\)

\(\frac{1}{5}x=\left(-\frac{5}{140}\right)-\frac{112}{140}\)

\(\frac{1}{5}x=-\frac{117}{140}\)

\(x=\left(-\frac{117}{140}\right):\frac{1}{5}\)

\(x=\left(-\frac{117}{28}\right)\)

B/ \(\left(\frac{3x}{7}+1\right):\left(-4\right)=-\frac{1}{28}\)

\(\frac{3x}{7}+1=\left(-\frac{1}{28}\right).\left(-4\right)\)

\(\frac{3x}{7}+1=\frac{1}{7}\)

\(\frac{3x}{7}=\frac{1}{7}-1\)

\(\frac{3x}{7}=\frac{1}{7}-\frac{7}{7}\)

\(\frac{3x}{7}=-\frac{6}{7}\)

\(\Rightarrow3x=\left(-6\right)\)(theo cách l8)

\(\Rightarrow x=\left(-6\right):3=\left(-2\right)\)

a)   X=-117/28

b)   X=-4

Chưa chắc đã đúng nha bạn

a. \(\frac{4}{5}+\frac{1}{5}x=\frac{1}{28}\)

\(\Leftrightarrow\frac{1}{5}x=\frac{1}{28}-\frac{4}{5}\)

\(\Leftrightarrow\frac{1}{5}x=\frac{5}{140}-\frac{112}{140}\)

\(\Leftrightarrow\frac{1}{5}x=\frac{-107}{140}\)

\(\Leftrightarrow x=\frac{-107}{140}\div\frac{1}{5}\)

\(\Leftrightarrow x=\frac{-107}{140}\times5\)

\(\Leftrightarrow x=\frac{-107}{28}=\)

b. \(\left(\frac{3x}{7}+1\right)\div\left(-4\right)=\frac{-1}{28}\)

\(\Leftrightarrow\left(\frac{3x}{7}+\frac{7}{7}\right)=\frac{-1}{28}\times\left(-4\right)\)

\(\Leftrightarrow\frac{3x+1}{7}=\frac{1}{7}\)

\(\Leftrightarrow3x+1=1\)

\(\Leftrightarrow3x=1-1\)

\(\Leftrightarrow3x=0\Leftrightarrow x=0\)

a) Ta có: \(4\left(x-2\right)-2\left(x+3\right)=-28\)

\(\Leftrightarrow4x-8-2x-6+28=0\)

\(\Leftrightarrow2x+14=0\)

\(\Leftrightarrow2x=-14\)

hay x=-7

Vậy: x=-7

b) Ta có: \(3x+7-9x=-11\)

\(\Leftrightarrow-6x+7+11=0\)

\(\Leftrightarrow-6x+18=0\)

\(\Leftrightarrow-6x=-18\)

hay x=3

Vậy: x=3