\(a,\frac{x+2}{6}-\frac{8x+1}{3}=\frac{2-5x}{2}-6\)

\(\Leftrightarrow\frac{x+2}{6}-\frac{\left(8x+1\right)2}{6}=\frac{\left(2-5x\right)3}{6}-\frac{36}{6}\)

=> x + 2 - 16x - 2 = 6 - 15x - 36

<=> x - 16x + 15x = 6 -36 + 2 - 2

<=> 0x = -30

Phương trình vô ngiệm

b, 11 - ( x + 2) = 3(x + 1)

<=> 11 - x - 2= 3x + 3

<=> -x - 3x = 3 - 11 + 2

<=> -4x = -6

<=> x = \(\frac{3}{2}\) 

C,  tương tự a

c) ĐKXĐ: x \(\ne\)0 và x \(\ne\)-1

Ta có: \(\frac{x+3}{x+1}+\frac{x+2}{x}=2\)

=> \(x\left(x+3\right)+\left(x+1\right)\left(x+2\right)=2x\left(x+1\right)\)

<=> x² + 3x + x² + 3x + 2 = 2x² + 2x

<=> 2x² + 6x + 2 - 2x² - 2x = 0

<=> 4x + 2 = 0

<=> 4x = -2

<=> x = -1/2 (tm)

Vậy S = {-1/2}

Mình sẽ k cho bạn nào nhanh nhất nhé <3

\(\frac{1}{x-3}=a,\frac{1}{y-4}=b\)

\(hpt\Leftrightarrow\hept{\begin{cases}a+b=\frac{5}{3}\\4a-3b=\frac{3}{2}\end{cases}\Rightarrow\hept{\begin{cases}a=\frac{13}{14}\\b=\frac{31}{42}\end{cases}\Rightarrow}}\hept{\begin{cases}x=\frac{53}{13}\\y=\frac{166}{31}\end{cases}}\)

Đặt m = 1 / x - 3         và n = 1/y - 4 
Khi đó ta có hệ m + n = 5/3
4 x x - 3 x n = 3/2 
....Bạn tự giải tiếp nhé 

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

\(\Leftrightarrow\left(x-4\right)^2-\left(2x+1\right)^2=0\)

\(\Leftrightarrow\left(x-4-2x-1\right)\left(x-4+2x+1\right)=0\)

\(\Leftrightarrow\left(x-5\right)\left(3x-3\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\3x-3=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\3\left(x-1\right)=0\end{cases}}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=5\\x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=1\end{cases}}}\)

(x-4)² = (2x+1)²

=> x-4 = 2x +1

    x - 2x = 1 +4

   -x = 5

   x=-5

<=> x-4=2x=1

<=> x-2x=1+4

<=> -x =5

<=> x=-5

Bài này mình không biết tính nhanh nhé!

\(23\frac{1}{3}:\frac{-1}{2^3}-13\frac{1}{3}:\frac{-1}{2^2}+5.\sqrt{\frac{9}{25}}\)

\(=\frac{23.3+1}{3}:\frac{-1}{2^3}-13\frac{1}{3}:\frac{-1}{2^2}+5\sqrt{\frac{9}{25}}\)

\(=\frac{69+1}{3}:\frac{-1}{2^3}-13\frac{1}{3}:\frac{-1}{2^2}+5\sqrt{\frac{9}{25}}\)

\(=\frac{70}{3}:\frac{-1}{2^3}-13\frac{1}{3}:\frac{-1}{2^2}+5\sqrt{\frac{9}{25}}\)

\(=\frac{70}{3}:\frac{-1}{2^3}-\frac{13.3+1}{3}:\frac{-1}{2^2}+5\sqrt{\frac{9}{25}}\)

\(=\frac{70}{3}:\frac{-1}{2^3}-\frac{40}{3}:\frac{-1}{2^2}+5\sqrt{\frac{9}{25}}\)

\(=\frac{70}{3}:\frac{-1}{2^3}-\frac{40}{3}:\frac{-1}{2^2}+5.\frac{3}{5}\)

\(=\frac{70}{3}:\frac{-1}{8}-\frac{40}{3}:\frac{-1}{4}+5.\frac{3}{5}\)

\(=\frac{70}{3}.\frac{8}{-1}-\frac{40}{3}:\frac{-1}{4}+5.\frac{3}{5}\)

\(=\frac{560}{-3}-\frac{40}{3}:-\frac{1}{4}+5.\frac{3}{5}\)

\(=\frac{560}{-3}-\frac{40}{3}.\frac{4}{-1}+3\)

\(=\frac{-560}{3}-\frac{-160}{3}+\frac{9}{3}\)

\(=\frac{-391}{3}\)

Đúng chứ?

Mà nó dài quá bạn ơi!

Cậu định thử sức tớ làm bài này á, có vài chỗ tớ viết tắt, chỗ nào không hiểu hỏi tớ nhé!

Tớ kiên trì lắm đấy!

a) \(\dfrac{1}{4}+\dfrac{3}{4}:x=-2\)

\(\dfrac{3}{4}:x=-2-\dfrac{1}{4}=\dfrac{-8}{4}-\dfrac{1}{4}\)

\(\dfrac{3}{4}:x=\dfrac{-9}{4}\)

\(x=\dfrac{3}{4}:\dfrac{-9}{4}=\dfrac{3}{4}.\dfrac{-4}{9}\)

\(x=\dfrac{-1}{3}\)

b) \(\dfrac{3}{4}+2.\left(2x-\dfrac{2}{3}\right)=-2\)

\(2.\left(2x-\dfrac{2}{3}\right)=-2-\dfrac{3}{4}=\dfrac{-8}{4}-\dfrac{3}{4}\)

\(2.\left(2x-\dfrac{2}{3}\right)=\dfrac{-11}{4}\)

\(2x-\dfrac{2}{3}=\dfrac{-11}{4}:2=\dfrac{-11}{4}.\dfrac{1}{2}\)

\(2x-\dfrac{2}{3}=\dfrac{-11}{8}\)

\(2x=\dfrac{-11}{8}+\dfrac{2}{3}=\dfrac{-33}{24}+\dfrac{16}{24}\)

\(2x=\dfrac{-17}{24}\)

\(x=\dfrac{-17}{24}:2=\dfrac{-17}{24}.\dfrac{1}{2}\)

\(x=\dfrac{-17}{48}\)

c) \(\left(\dfrac{1}{2}+5x\right).\left(2x-3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{2}+5x=0\\2x-3=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}5x=\dfrac{-1}{2}\\2x=3\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{10}\\x=\dfrac{3}{2}\end{matrix}\right.\)

a, 1/4 + 3/4 : x = -2

     3/4 : x = -2 - 1/4 

     3/4 : x = -9/4

             x = 3/4 : -9/4

             x = -1/3

b, 3/4 + 2 . ( 2x - 3 ) = 0 

             2 . ( 2x - 3 ) = 0 - 3/4

             2 . ( 2x - 3 ) = -3/4

                     2x - 3 = -3/4 : 2

                     2x - 3 = -3/8

                          2x = -3/8 + 3

                          2x = 21/8

                            x = 21/8 : 2

                            x = 21/16

(2/3×x-1/3)=2/3+1/3

(2/3×x-1/3)=3/3

2/3×x=3/3+1/3

2/3×x=4/3

x=4/3:3/2

x=4/3×2/3

x=8/9

Cảm ơn mn lần nx ạ

a) chịu

b)bó tay

c)ko biết 

d)làm bừa

a)7^2x+7^2x.49=2450

7^2x.50=2450

7^2x=2450:50=49

7^2x=7²

2x=2

x=1

b)(33:11)^x=81

3^x=81

3^x=3⁴

x=4

c)1/6=2/3:8x

8x=2/3:1/6

8x=4

x=1/2

d)(x+1)³=64

(x+1)³=4³

x+1=4

x=3

minh chỉ lam đc vậy thôi nha !hi hi

ai giải giúp mk vs

P=x³+2x²-2x²-10x+10x+50+50-5x / 2x(x+5)

=x³+100-5x / 2x²+10x

=x³+100-1 / 2x²+2

đây là câu a nha ban mih ko ghi lai cái đề