x/2+x+x/3+x+x+x/4=23/4

⇒ 6x/12+12x/12+4x/12+12x/12+12x/12+3x/12=23/4

⇒ (6x+12x+4x+12x+12x+3x)/12=23/4

⇒ 49x/12=23/4

⇒ 49x=23/4.12

⇒ 49x=69

⇒ x=69/49

Giải:

\(\dfrac{x}{2}+x+\dfrac{x}{3}+x+x+\dfrac{x}{4}=\dfrac{23}{4}\)

\(x.\left(\dfrac{1}{2}+1+\dfrac{1}{3}+1+1+\dfrac{1}{4}\right)=\dfrac{23}{4}\) 

                               \(x.\dfrac{49}{12}=\dfrac{23}{4}\)

                                      \(x=\dfrac{23}{4}:\dfrac{49}{12}\) 

                                      \(x=\dfrac{69}{49}\)

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

\(\Leftrightarrow x^3+9x+2=x^3+8\)

\(\Leftrightarrow x^3+9x=x^3+8-2\)

\(\Leftrightarrow x^3+9x=x^3+6\)

\(\Leftrightarrow x^3+9x=x^3+6x-x^3\)

\(\Leftrightarrow\frac{2}{3}\)

b) \(x^2-4=8\left(x-2\right)\)

\(\Leftrightarrow x^2-4=8x-16\)

\(\Leftrightarrow x^4-4=8x-16+16\)

\(\Leftrightarrow x^2+12=8x\)

\(\Leftrightarrow x^2+12=8x-8x\)

\(\Leftrightarrow x^2-8x+12=0\)

\(\Rightarrow\orbr{\begin{cases}x=2\\x=6\end{cases}}\)

1.

=3/5x(3/7+4/7)+2/5x(13/9-4/9)

=3/5x1+2/5x1

=3/5+2/5

=1

2.Xx(3/4+4/5)=7/10

Xx31/20=7/10

X         =7/10:31/20

X         =14/31

\(\frac{3}{5}\cdot\frac{3}{7}+\frac{3}{5}\cdot\frac{4}{7}+\frac{2}{5}\cdot\frac{13}{9}-\frac{2}{5}\cdot\frac{4}{9}\)

\(=\frac{3}{5}\cdot\left(\frac{3}{7}+\frac{4}{7}\right)+\frac{2}{5}\cdot\left(\frac{13}{9}-\frac{4}{9}\right)\)

\(=\frac{3}{5}\cdot1+\frac{2}{5}\cdot1\)\(=\frac{3}{5}+\frac{2}{5}=1\)

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\(\frac{3}{4}\cdot x+\frac{4}{5}\cdot x=\frac{7}{10}\)

\(\left(\frac{3}{4}+\frac{4}{5}\right)\cdot x=\frac{7}{10}\)

\(\frac{31}{20}\cdot x=\frac{7}{10}\)

\(x=\frac{7}{10}:\frac{31}{20}\)

\(x=\frac{14}{31}\)

Viết cái đề cho rõ ràng dùm cái, mk đọc ko có hỉu j hết

chữ x nhỏ là dấu nhân,chữ x lớn là x cần tìm

\(x:\frac{3}{5}.x+x.2+40=53\)

\(\Rightarrow\frac{13}{5}x+40=53\)

\(\Rightarrow\frac{13}{5}x=53-40\)

\(\Rightarrow\frac{13}{5}x=13\)

\(\Rightarrow x=13:\frac{13}{5}\)

\(\Rightarrow5\)

Hk tốt!!!

a) (2x - 17 )⁵ = (2x -17 )⁵

=> Với mọi x \(\in\)N thì : ( 2x - 17 )⁵ = (2x -17 )⁵

Vậy :...

b) 

=> Với x = 0 hoặc x = 1 thì  5^x = 3^x

Vậy :...

\(\left(x+\frac{4}{3}\right)\cdot\frac{7}{4}=5-\frac{7}{6}\)

\(\left(x+\frac{4}{3}\right)\cdot\frac{7}{4}=\frac{23}{6}\)

\(x+\frac{4}{3}=\frac{23}{6}:\frac{7}{4}=\frac{46}{21}\)

\(x=\frac{46}{21}-\frac{4}{3}\)

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

Vậy ....................................

\(x-\frac{3}{5}=1\div3\)

\(x-\frac{3}{5}=\frac{1}{3}\)

\(x=\frac{1}{3}+\frac{3}{5}=\frac{14}{15}\)

Chắc x 1/6 = 5 : 4 là phép nhân

\(x\times\frac{1}{6}=5\div4\)

\(x\times\frac{1}{6}=\frac{5}{4}\)

\(x=\frac{5}{4}\div\frac{1}{6}\)

\(x=\frac{15}{2}\)

x-3/5=1/3

x=1/3+3/5

x=14/15

x.1/6=5/4

x=5/4:1/6

x=5/4x6

x=15/2

x - \(\frac{3}{5}\)= 1 : 3 

x - \(\frac{3}{5}\)= \(\frac{1}{3}\)

x         = \(\frac{1}{3}+\frac{3}{5}\)

x         = \(\frac{14}{15}\)