\(x:\left[\dfrac{8}{5}\cdot\left(\dfrac{2}{3}\right)^2-\dfrac{2}{5}\right]=\dfrac{15}{7}+\dfrac{6}{5}\left[\left(2\dfrac{1}{7}\right)^2-\dfrac{50}{49}\right]\)

\(\Leftrightarrow x:\left[\dfrac{32}{45}-\dfrac{18}{45}\right]=\dfrac{15}{7}+\dfrac{6}{5}\cdot\left(\dfrac{225}{49}-\dfrac{50}{49}\right)\)

\(\Leftrightarrow x:\dfrac{14}{45}=\dfrac{15}{7}+\dfrac{6}{5}\cdot\dfrac{25}{7}\)

\(\Leftrightarrow x:\dfrac{14}{45}=\dfrac{45}{7}\)

\(\Leftrightarrow x=2\)

1) 52-|x-3|=80

<=> |x-3|=28

<=> x-3=28 hoặc x-3=-28

<=> x=31 hoặc x=-25

Đáp số x= 31 hoặc x=-25

2)  x*(x+2)=0

<=> x=0 hoặc x+2=0

<=> x=0 hoặc x=-2

vậy .......

1) 

 \(52-\left|x-3\right|=80\)

\(\Leftrightarrow\)\(\left|x-3\right|=52-80=-28\)

Vì \(\left|x-3\right|\ge0\)nên không tồn tại \(x\) thoả mãn đề bài 

2) 

\(x.\left(x+2\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x+2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=0-2=-2\end{cases}}}\)

Vậy \(x=0\)hoặc \(x=-2\)

3) 

\(\left(x-3\right).\left(4-x\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x-3=0\\4-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0+3=3\\x=4-0=4\end{cases}}}\)

Vậy \(x=3\)hoặc \(x=4\)

4) 

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

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

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

\(\Leftrightarrow\)\(x.\left(-12-7\right)=-76\)

\(\Leftrightarrow\)\(\left(-19\right)x=-76\)

\(\Rightarrow\)\(x=\frac{-76}{-19}=4\)

Vậy \(x=4\)

5) 

\(x^2=2x\)

\(\Leftrightarrow\)\(x^2:x=2\)

\(\Rightarrow\)\(x=2\)

Vậy \(x=2\)

Chúc bạn học tốt

\(a)\left(\dfrac{1}{2}+1,5\right)x=\dfrac{1}{5}\)

\(\Rightarrow2x=\dfrac{1}{5}\)

\(\Rightarrow x=\dfrac{1}{10}\)

\(b)\left(-1\dfrac{3}{5}+x\right):\dfrac{12}{13}=2\dfrac{1}{6}\)

\(\Leftrightarrow-\dfrac{8}{5}+x=\dfrac{13}{6}.\dfrac{12}{13}\)

\(\Leftrightarrow-\dfrac{8}{5}+x=2\)

\(\Leftrightarrow x=\dfrac{18}{5}\)

\(c)\left(x:2\dfrac{1}{3}\right).\dfrac{1}{7}=-\dfrac{3}{8}\)

\(\Leftrightarrow x:\dfrac{7}{3}=-\dfrac{3}{8}:\dfrac{1}{7}\)

\(\Leftrightarrow x=-\dfrac{21}{8}.\dfrac{7}{3}\)

\(\Leftrightarrow x=-\dfrac{49}{8}\)

\(d)-\dfrac{4}{7}x+\dfrac{7}{5}=\dfrac{1}{8}:\left(-1\dfrac{2}{3}\right)\)

\(\Leftrightarrow-\dfrac{4}{7}x+\dfrac{7}{5}=-\dfrac{3}{40}\)

\(\Leftrightarrow-\dfrac{4}{7}x=-\dfrac{59}{40}\)

\(\Leftrightarrow x=\dfrac{413}{160}\)

a= 1/10

b= 18/5

c= -49/8

d= 413

.

Câu 1: 

c: 2x=3y

nên x/3=y/2

=>x/9=y/6

5y=3z

nên y/3=z/5

=>y/6=z/10

=>x/9=y/6=z/10

Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:

\(\dfrac{x}{9}=\dfrac{y}{6}=\dfrac{z}{10}=\dfrac{3x+3y-7z}{3\cdot9+3\cdot6-7\cdot10}=\dfrac{35}{-25}=-\dfrac{7}{5}\)

Do đó: x=-63/5; y=-42/5; z=-14

Bài 2:

Gọi ba số lần lượt là a,b,c

Theo đề, ta có: 4/3a=b=3/4c

\(\Leftrightarrow\dfrac{a}{\dfrac{3}{4}}=\dfrac{b}{1}=\dfrac{c}{\dfrac{4}{3}}\)

\(\Leftrightarrow\dfrac{a}{9}=\dfrac{b}{12}=\dfrac{c}{16}\)

Đặt \(\dfrac{a}{9}=\dfrac{b}{12}=\dfrac{c}{16}=k\)

=>a=9k; b=12k; c=16k

Theo đề, ta có: \(a^2+b^2+c^2=481\)

\(\Leftrightarrow81k^2+144k^2+256k^2=481\)

=>k²=1

Trường hợp 1: k=1

=>a=9; b=12; c=16

Trường hợp 2: k=-1

=>a=-9; b=-12; c=-16

a) \(\dfrac{4}{5}\left(x-\dfrac{1}{3}\right)-3\dfrac{1}{2}=50\%\)

\(\dfrac{4}{5}x-\dfrac{4}{15}-\dfrac{7}{2}=\dfrac{1}{2}\)

\(\dfrac{4}{5}x=\dfrac{1}{2}+\dfrac{7}{2}+\dfrac{4}{15}\)

\(\dfrac{4}{5}x=\dfrac{64}{15}\)

\(x=\dfrac{64}{15}:\dfrac{4}{5}\\ x=\dfrac{16}{3}\)

b) \(8\dfrac{3}{5}.x-2\dfrac{1}{5}.x=16\%\)

\(\dfrac{43}{5}x-\dfrac{11}{5}x=\dfrac{4}{25}\)

\(\dfrac{32}{5}x=\dfrac{4}{25}\)

\(x=\dfrac{4}{25}:\dfrac{32}{5}\)

\(x=\dfrac{1}{40}\)

x bằng 80 nhé