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

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

\(\Leftrightarrow\left(x+1\right)\left(x+1\right)=3.3\)

\(\Leftrightarrow\left(x+1\right)^2=9\)

\(\Leftrightarrow\left(x+1\right)^2=3^2\)

\(\Leftrightarrow\orbr{\begin{cases}x+1=3\\x+1=-3\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)

Vậy..................

19 tháng 9 2016

a, (x+1).3 = 2.2

=>3 x+3 =4

=> 3x=1

=> x=1/3

b, (x-2) .4 =(x+1).3

=>4x-8=3x+3

=>4x-3x=8+3

=>x=11

c, lam tg tu cau b

d, (x-1)(x+3)=(x+2)(x-2)

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

x^2 +2x-3=x^2-4

x^2-x^2+2x=3-4

2x=-1

x=-0,5

22 tháng 10 2016

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

\(\Rightarrow3.\left(x+1\right)=2.2\)

\(\Rightarrow3x+3=4\)

\(\Rightarrow3x=4-3\)

\(\Rightarrow3x=1\)

\(\Rightarrow x=\frac{1}{3}\)

\(b,\frac{x-2}{3}=\frac{x+1}{4}\)

\(\Rightarrow4.\left(x-2\right)=3.\left(x+1\right)\)

\(\Rightarrow4x-8=3x+3\)

\(\Rightarrow4x-3x=3+8\)

\(\Rightarrow x=11\)

\(c,\frac{x-3}{x+5}=\frac{5}{7}\)

\(\Rightarrow7.\left(x-3\right)=5.\left(x+5\right)\)

\(\Rightarrow7x-21=5x+25\)

\(\Rightarrow7x-5x=25+21\)

\(\Rightarrow2x=46\)

\(\Rightarrow x=23\)

\(d,\frac{x-1}{x+2}=\frac{x-2}{x+3}\)

\(\Rightarrow\left(x-1\right)\left(x+3\right)=\left(x+2\right)\left(x-2\right)\)

\(\Rightarrow x^2+2x-3=x^2-4\)

\(\Rightarrow2x=-1\)

\(\Rightarrow x=-\frac{1}{2}\)

25 tháng 8 2019

mk cs kq r

25 tháng 8 2019

chờ tí

14 tháng 9 2017

\(a,\frac{-1}{2}+\left(x-3\right):\frac{-1}{2}=-1\frac{2}{3}.\)

\(\Rightarrow\left(x-3\right):\frac{-1}{2}=-1\frac{2}{3}-\frac{-1}{2}=\frac{-7}{6}\)

\(\Rightarrow x-3=\frac{-7}{6}\cdot\frac{-1}{2}=\frac{7}{12}\)

\(\Rightarrow x=\frac{7}{12}+3=3\frac{7}{12}\)

\(b.2,25+\frac{3}{2}:\left(x-5\right)=2\frac{1}{2}\)

\(\Rightarrow\frac{3}{2}:\left(x-5\right)=2\frac{1}{2}-2,25=\frac{1}{4}\)

\(\Rightarrow x-5=\frac{3}{2}:\frac{1}{4}=6\)

\(\Rightarrow x=6+5=11\)

\(c,\left(\frac{1}{3}-x\right)^2=\frac{1}{4}=\left(\frac{1}{2}\right)^2=\left(-\frac{1}{2}\right)^2\)

\(\Rightarrow\orbr{\begin{cases}\frac{1}{3}-x=\frac{1}{2}\\\frac{1}{3}-x=-\frac{1}{2}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}-\frac{1}{2}=-\frac{1}{6}\\x=\frac{1}{3}-\frac{-1}{2}=\frac{5}{6}\end{cases}}\)

\(d,\frac{3}{2}+\frac{x-1}{3}=1\)

\(\Rightarrow\frac{x-1}{3}=1-\frac{3}{2}=-\frac{1}{2}\)

\(\Rightarrow x-1=-\frac{1}{2}\cdot3=-\frac{3}{2}\)

\(\Rightarrow x=-\frac{3}{2}+1=\frac{1}{2}\)

\(e,-\frac{6}{8}+\frac{x}{12}=\frac{5}{6}\)

\(\Rightarrow\frac{x}{12}=\frac{5}{6}-\frac{-6}{8}=\frac{19}{12}\)

\(\Rightarrow x=19\)

\(g,\frac{1}{2}-\frac{1}{3}\left(x-2\right)=-\frac{2}{3}\)

\(\Rightarrow-\frac{1}{3}\left(x-2\right)=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}\)

\(\Rightarrow x-2=\frac{-7}{6}:\frac{-1}{3}=\frac{7}{2}\)

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

\(h,\frac{5}{2}\left(x+1\right)-\frac{1}{2}=3\frac{1}{2}\)

\(\Rightarrow\frac{5}{2}\left(x+1\right)=3\frac{1}{2}-\frac{1}{2}=3\)

\(\Rightarrow x+1=3:\frac{5}{2}=\frac{6}{5}\)

\(\Rightarrow x=\frac{6}{5}-1=\frac{1}{5}\)

\(k,\frac{x}{3}-\frac{1}{2}=-2\left(x+1\right)+3\)

\(\Rightarrow x\cdot\frac{1}{3}-\frac{1}{2}=-2x-2+3\)

\(\Rightarrow\frac{1}{3}x+2x=-2+3+\frac{1}{2}\)

\(\Rightarrow\frac{7}{3}x=\frac{3}{2}\Rightarrow x=\frac{3}{2}:\frac{7}{2}=\frac{3}{7}\)

24 tháng 8 2016

\(\frac{2}{3}x+\frac{5}{7}=\frac{3}{10}\)

\(\Rightarrow\frac{2}{3}x=\frac{3}{10}-\frac{5}{7}\)

\(\Rightarrow\frac{2}{3}x=-\frac{29}{70}\)

\(\Rightarrow x=-\frac{29}{70}:\frac{2}{3}\)

\(\Rightarrow x=-\frac{87}{140}\)

tíc mình nha

24 tháng 8 2016

còn câu b,c,d nữa mà

24 tháng 10 2018

1) \(\frac{x-1}{5}=\frac{x+2}{7}\)

\(\Rightarrow7x-7=5x+10\)

=> 7x - 5x = 10 + 7

2x = 17

x = 8,5

b) \(\frac{x-1}{7}=\frac{5}{x+1}\)

=> x2 - 1 = 35

x2 = 34

\(\Rightarrow x=\sqrt{34};x=-\sqrt{34}\)

c) \(\frac{x+1}{x-2}=\frac{x+2}{x+3}\)

=> x2 + 4x + 3 = x2 - 4

=> x2 - x2 + 4x + 3 = -4

4x + 3 = - 4

4x = -7

x = -7/4