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1 tháng 3 2022

TL

\(\frac{x+5}{36} = \frac{4}{x+5}\)

=> (x+5)(x+5)=36x4

=> (x+5)^2=144

=>(x+5)^2=12^2 hoặc (x+5)=-12^2

=>x+5=12                  x+5=-12

=>   x=12-5                    x=-12-5

=>  x=7                          x=-17

HT

1 tháng 3 2022

\(\dfrac{x+5}{36}=\dfrac{4}{x+5}\\ \Rightarrow\left(x+5\right)^2=144\\ \Rightarrow\left[{}\begin{matrix}x+5=12\\x+5=-12\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=7\\x=-17\end{matrix}\right.\)

30 tháng 4 2018

a) \(\left(x-\frac{5}{8}\right).\frac{5}{18}=\frac{-15}{36}\)

\(\Rightarrow x-\frac{5}{8}=\frac{-15}{36}:\frac{5}{18}\)

\(\Rightarrow x-\frac{5}{8}=\frac{-3}{2}\)

\(\Rightarrow x=\frac{-3}{2}+\frac{5}{8}\)

\(\Rightarrow x=\frac{-7}{8}\)

c) \(x\)là ước của 4

\(\Rightarrow x\inƯ\left(4\right)=\left\{\pm1;\pm2;\pm4\right\}\)

nhớ tk ^.^\(\)

\(\)

30 tháng 4 2018

\(a)\) \(\left(x-\frac{5}{8}.\right).\frac{5}{18}=-\frac{15}{36}\)

\(\Rightarrow x-\frac{5}{8}=-\frac{15}{36}:\frac{5}{18}\)

\(\Rightarrow x-\frac{5}{8}=-\frac{15}{36}.\frac{18}{5}\)

\(\Rightarrow x-\frac{5}{8}=-\frac{3}{2}\)

\(\Rightarrow x=-\frac{3}{2}+\frac{5}{8}\)

\(\Rightarrow x=-\frac{12}{8}+\frac{5}{8}\)

\(\Rightarrow x=-\frac{7}{8}\)

Vậy \(x=-\frac{7}{8}\)

\(b)\frac{x+2}{5}=-\frac{15}{2}\)

\(\Rightarrow\left(x+2\right).2=-15.5\)

\(\Rightarrow\left(x+2\right).2=-75\)

\(\Rightarrow x+2=-75:2\)

\(\Rightarrow x+2=-37,5\)

\(\Rightarrow x=-37,5-2\)

\(\Rightarrow x=-39,5\)

\(c)\)Do x là Ư ( 4 ) 

\(\Rightarrow x\in\left\{1;-1;2;-2;4;-4\right\}\)

Chúc bạn học tốt !!!! 

27 tháng 7 2018

1.Vì  \(\frac{x}{-2}=\frac{-8}{x}\Rightarrow-2.\left(-8\right)=x.x\)

                                        \(16=x.x\)hay \(4^2=x^2\Rightarrow x=4\)

2. Rút gọn : \(\frac{20}{28}=\frac{5}{7}=\frac{-5}{-7}\)

\(\Rightarrow x=-7\)

3. \(\frac{x}{2}-\frac{11}{5}=\frac{7}{8}\times\frac{64}{49}\)

\(\frac{x}{2}-\frac{11}{5}=\frac{8}{7}\)

Mà \(\frac{8}{7}+\frac{11}{5}=\frac{502}{35}\)

\(\Rightarrow x=\frac{234}{35}\)

27 tháng 7 2018

1) \(\frac{x}{-2}=\frac{-8}{x}\)

\(\Rightarrow x\times x=\left(-2\right)\times\left(-8\right)\)

\(\Rightarrow x^2=16\)

\(\Rightarrow\orbr{\begin{cases}x^2=4^2\\x^2=\left(-4\right)^2\end{cases}\Rightarrow}\orbr{\begin{cases}x=4\\x=-4\end{cases}}\)

Vậy x = 4 hoặc x = -4

2) \(\frac{-5}{x}=\frac{20}{28}\)

\(\Rightarrow\frac{-5}{x}=\frac{5}{7}\)

\(\Rightarrow5\times x=\left(-5\right)\times7\)

\(\Rightarrow5\times x=-35\)

\(\Rightarrow x=\left(-35\right):5\)

\(\Rightarrow x=-7\)

Vậy x = -7

3) \(\frac{x}{2}-\frac{11}{5}=\frac{7}{8}\times\frac{64}{49}\)

\(\Rightarrow\frac{x}{2}-\frac{11}{5}=\frac{8}{7}\)

\(\Rightarrow\frac{x}{2}=\frac{8}{7}+\frac{11}{5}\)

\(\Rightarrow\frac{x}{2}=\frac{117}{35}\)

\(\Rightarrow35x=117\times2\)

\(\Rightarrow35x=234\)

\(\Rightarrow x=234:35\)

\(\Rightarrow x=\frac{234}{35}\)

Vậy  \(x=\frac{234}{35}\)

4) \(\frac{x}{5}+\frac{9}{2}=\frac{6}{7}\times\frac{36}{48}\)

\(\Rightarrow\frac{x}{5}+\frac{9}{2}=\frac{9}{14}\)

\(\Rightarrow\frac{x}{5}=\frac{9}{14}-\frac{9}{2}\)

\(\Rightarrow\frac{x}{5}=\frac{-27}{7}\)

\(\Rightarrow7x=\left(-27\right)\times5\)

\(\Rightarrow7x=-135\)

\(\Rightarrow x=\left(-135\right):7\)

\(\Rightarrow x=\frac{-135}{7}\)

Vậy  \(x=\frac{-135}{7}\)

5) \(\frac{3}{x-5}=\frac{-4}{x+2}\)

\(\Rightarrow\frac{3}{x-5}+\frac{4}{x+2}=0\)

\(\Rightarrow3\left(x+2\right)+4\left(x-5\right)=0\)

\(\Rightarrow3x+6+4x-20=0\)

\(\Rightarrow\left(3x+4x\right)+\left(6-20\right)=0\)

\(\Rightarrow7x-14=0\)

\(\Rightarrow7x=14\)

\(\Rightarrow x=14:7\)

\(\Rightarrow x=2\)

Vậy x = 2

_Chúc bạn học tốt_

23 tháng 8 2017

B=\(6\frac{4}{9}-4\frac{4}{9}+3\frac{7}{11}\)

B=\(2+3\frac{7}{11}\)

B=\(5\frac{7}{11}\)

23 tháng 8 2017

B = \(5\frac{7}{11}=\frac{62}{11}\)

C = 1

D = \(\frac{5}{2}=2\frac{1}{2}\)

21 tháng 2 2018

a) \(\frac{3}{x-5}=\frac{-4}{x+2}\)(ĐKXĐ: \(x\ne5;x\ne-2\))
\(\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Leftrightarrow3x+6=-4x+20\)
\(\Leftrightarrow7x=14\)
\(\Leftrightarrow x=2\)(thỏa mãn ĐKXĐ)
b) \(2,4x-36=-\frac{7}{12}\)
\(\Leftrightarrow2,4x=\frac{425}{12}\)
\(\Leftrightarrow x=\frac{2125}{144}\)
c) \(\left(\frac{19}{5}-2x\right).\frac{4}{3}=\frac{40}{7}\)
\(\Leftrightarrow\frac{19}{5}-2x=\frac{30}{7}\)
\(\Leftrightarrow2x=-\frac{17}{35}\)
\(\Leftrightarrow x=-\frac{17}{70}\)
 

9 tháng 8 2019

\(a,\left(\frac{31}{20}-\frac{26}{45}\right)\cdot\left(\frac{-36}{35}\right)< x< \left(\frac{51}{56}+\frac{8}{21}+\frac{1}{3}\right)\cdot\frac{8}{13}\)

\(taco:\left(\frac{31}{20}-\frac{26}{45}\right)\cdot\left(\frac{-36}{35}\right)=\frac{35}{36}\cdot\frac{-36}{35}=-1\)

\(\left(\frac{51}{56}+\frac{8}{21}+\frac{1}{3}\right)\cdot\frac{8}{13}=\frac{13}{8}\cdot\frac{8}{13}=1\)

\(=>x=0\)

\(b,\frac{-5}{6}+\frac{8}{3}+\frac{29}{-3}< x< \frac{-1}{2}+2+\frac{5}{2}\)(dau <co dau gach ngang o duoi nha)

\(taco:\frac{-5}{6}+\frac{8}{3}+\frac{29}{-3}=\frac{-5}{6}+\frac{8}{3}+\frac{-29}{3}=\frac{-5}{6}+\frac{16}{6}+\frac{-58}{6}=\frac{-47}{6}=-7,8\)

\(\frac{-1}{2}+2+\frac{5}{2}=\frac{3}{2}+\frac{5}{2}=4\)

tu do \(=>x=-7,8;...;0;1;2;3;4\)
 

6 tháng 5 2018

pt \(\Leftrightarrow\left(\frac{x-2}{27}-1\right)+\left(\frac{x-3}{26}-1\right)+\left(\frac{x-4}{25}-1\right)+\left(\frac{x-5}{24}-1\right)+\left(\frac{x-44}{5}+3\right)=0\)

\(\Leftrightarrow\frac{x-29}{27}+\frac{x-29}{26}+\frac{x-29}{25}+\frac{x-29}{24}+\frac{x-29}{5}=0\)

\(\Leftrightarrow\left(x-29\right)\left(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}+\frac{1}{5}\right)=0\)

Mà \(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}+\frac{1}{5}\ne0\)

\(\Rightarrow x-29=0\Leftrightarrow x=29\)