a: \(x+\dfrac{3}{9}=\dfrac{7}{6}\cdot\dfrac{2}{3}\)

=>\(x+\dfrac{1}{3}=\dfrac{14}{18}=\dfrac{7}{9}\)

=>\(x=\dfrac{7}{9}-\dfrac{1}{3}=\dfrac{7}{9}-\dfrac{3}{9}=\dfrac{4}{9}\)

b: \(x-\dfrac{2}{3}=\dfrac{1}{8}:\dfrac{5}{4}\)

=>\(x-\dfrac{2}{3}=\dfrac{1}{8}\cdot\dfrac{4}{5}=\dfrac{1}{10}\)

=>\(x=\dfrac{1}{10}+\dfrac{2}{3}=\dfrac{3+20}{30}=\dfrac{23}{30}\)

TThế giới oi oi oi 

a: =(x-y)^2+2(x-y)

=(x-y)(x-y+2)

c: =(x-3)(x+3)+(x-3)^2

=(x-3)(x+3+x-3)

=2x(x-3)

d: =(x+3)(x^2-3x+9)-4x(x+3)

=(x+3)(x^2-7x+9)

e: =(x^2-8x+7)(x^2-8x+15)-20

=(x^2-8x)^2+22(x^2-8x)+85

=(x^2-8x+17)(x^2-8x+5)

a/\(x-\dfrac{5}{7}-\dfrac{13}{14}=1\)
\(x=1+\dfrac{5}{7}+\dfrac{13}{14}\)
\(x=\dfrac{14}{14}+\dfrac{10}{14}+\dfrac{13}{14}\)
\(x=\dfrac{37}{14}\)
Vậy \(x=\dfrac{37}{14}\)
b/\(\dfrac{3}{5}+x+1\dfrac{1}{5}=\dfrac{11}{3}\)
\(x+\dfrac{3}{5}+\dfrac{6}{5}=\dfrac{11}{3}\)
\(x+\dfrac{9}{5}=\dfrac{11}{3}\)
\(x=\dfrac{11}{3}-\dfrac{9}{5}\)
\(x=\dfrac{55}{15}-\dfrac{27}{15}\)
\(x=\dfrac{28}{15}\)
Vậy \(x=\dfrac{28}{15}\)
#kễnh

a) \(x-\dfrac{5}{7}-\dfrac{13}{14}=1\)

\(x-\dfrac{23}{14}=1\)

\(x=1+\dfrac{23}{14}\)

\(x=\dfrac{37}{14}\)

b) \(\dfrac{3}{5}+x+1\dfrac{1}{5}=\dfrac{11}{3}\)

\(x+1+\dfrac{3}{5}+\dfrac{1}{5}=\dfrac{11}{3}\)

\(x+\dfrac{9}{5}=\dfrac{11}{3}\)

\(x=\dfrac{11}{3}-\dfrac{9}{5}\)

\(x=\dfrac{28}{15}\)

ta có \(\left(x+2\right)^2-2\left(x+2\right)\left(x+3\right)+\left(x+5\right)^2=7\)

\(\Leftrightarrow x^2+4x+4-2\left(x^2+5x+6\right)+x^2+10x+25=7\)

\(\Leftrightarrow4x+10=0\Leftrightarrow x=-\frac{5}{2}\)

Bạn áp dụng hằng đẳng thức số 1, nhân phá ngoặc là Ok nhé

\(\left(x+2\right)^2-2\left(x+2\right)\left(x+3\right)+\left(x+5\right)^2=7\)

\(\Leftrightarrow x^2+4x+4-2\left(x^2+3x+2x+6\right)+x^2+10x+25-7=0\)

\(\Leftrightarrow2x^2+14x+22-2x^2-6x-4x-12=0\)

\(\Leftrightarrow4x+10=0\)

\(\Leftrightarrow4x=-10\)

\(\Leftrightarrow x=\frac{-5}{2}\)

Trả lời:

( x + 2 )² - 2 ( x + 2 ) ( x + 3 ) + ( x + 5 )² = 7

<=> x² + 4x + 4 - 2 ( x² + 5x + 6 ) + x² + 10x + 25 = 7

<=> x² + 4x + 4 - 2x² - 10x - 12 + x² + 10x + 25 =  7

<=> 4x + 17 = 7

<=> 4x = - 10

<=> x = - 5/2

Vậy x = - 5/2 là nghiệm của pt.

\(x-\dfrac{1}{3}=\dfrac{2}{3}.\dfrac{9}{14}+\dfrac{3}{7}\)

\(x-\dfrac{1}{3}=\dfrac{1}{7}+\dfrac{3}{7}\)

\(x-\dfrac{1}{3}=\dfrac{4}{7}\)

\(x=\dfrac{19}{21}\)

x = 19/21 nha

cảm ơn các bạn nhé!

a: =>2x^2-2x+2x-2-2x^2-x-4x-2=0

=>-5x-4=0

=>x=-4/5

b: =>6x^2-9x+2x-3-6x^2-12x=16

=>-19x=19

=>x=-1

c: =>48x^2-12x-20x+5+3x-48x^2-7+112x=81

=>83x=83

=>x=1

mong mn trl gấp ạ

d) \(2x^2+5x-7=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{7}{2}\end{matrix}\right.\) \(\left(a+b+c=1\right)\)

\(\dfrac{1}{2}-\dfrac{5}{12}x=\dfrac{2}{3}\)

\(\dfrac{5}{12}x=\dfrac{1}{2}-\dfrac{2}{3}=\dfrac{3}{6}-\dfrac{4}{6}\)

\(\dfrac{5}{12}x=\dfrac{-1}{6}\)

\(x=\dfrac{-1}{6}:\dfrac{5}{12}=\dfrac{-1}{6}.\dfrac{12}{5}\)

\(x=\dfrac{-2}{5}\)

Giúp mik ik 

\(\dfrac{1}{2}-\dfrac{5}{12}x=\dfrac{2}{3}\)

\(\dfrac{5}{12}x=\dfrac{-1}{6}\)

\(x=\dfrac{-2}{5}\)

Ta có : 

\(4x\left(x-1\right)-3\left(x^2-5\right)-x^2=\left(x-3\right)-\left(x+4\right)\)

\(\Leftrightarrow\)\(4x^2-4x-3x^2+15=x-3-x-4\)

\(\Leftrightarrow\)\(x^2-4x+15=-7\)

\(\Leftrightarrow\)\(\left(x^2-2.x.2+2^2\right)+11=-7\)

\(\Leftrightarrow\)\(\left(x-2\right)^2=-18\)

Mà \(\left(x-2\right)^2\ge0\) \(\left(\forall x\inℝ\right)\)

\(\Rightarrow\)\(x\in\left\{\varnothing\right\}\)

Vậy không có giá trị nào của x thoã mãn đề bài 

Chúc bạn học tốt ~