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26 tháng 1 2022

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26 tháng 1 2022

\(6x-3+5=4x-1\)

<=> \(6x+2=4x-1\)

<=> \(6x=4x-3\)

<=> \(2x=-3\)

<=> \(x=-\dfrac{3}{2}\)

\(_{_{\text{chắc sai ha :)}}}\)

17 tháng 2 2022

3, đk : x =< 3/5 

TH1 : \(x-2=3-5x\Leftrightarrow6x=5\Leftrightarrow x=\dfrac{5}{6}\)(ktm) 

TH2 : \(x-2=5x-3\Leftrightarrow4x=1\Leftrightarrow x=\dfrac{1}{4}\)(tm) 

4, \(\Leftrightarrow8x-14=3x+21\Leftrightarrow5x=35\Leftrightarrow x=7\)

17 tháng 2 2022

Bài 3:

\(\Leftrightarrow x-2=3-5x\\ \Leftrightarrow x+5x=3+2\\ \Leftrightarrow6x=5\\ \Leftrightarrow x=\dfrac{5}{6}\)

Vậy \(x=\dfrac{5}{6}\)

Bài 4:

\(\Leftrightarrow8x-14=3x+3+18\)

\(\Leftrightarrow8x-3x=3+18+14\\ \Leftrightarrow5x=35\\ \Leftrightarrow x=\dfrac{35}{5}=7\)

Vậy x = 7

a: 3(x+7)-2x+5>0

=>3x+21-2x+5>0

=>x+26>0

=>x>-26

Sửa đề: \(\dfrac{x+2}{18}-\dfrac{x+3}{8}< \dfrac{x-1}{9}-\dfrac{x-4}{24}\)

=>\(\dfrac{4\left(x+2\right)}{72}-\dfrac{9\left(x+3\right)}{72}< \dfrac{8\left(x-1\right)}{72}< \dfrac{3\left(x-4\right)}{72}\)

=>\(4\left(x+2\right)-9\left(x+3\right)< 8\left(x-1\right)-3\left(x-4\right)\)

=>\(4x+8-9x-27< 8x-8-3x+12\)

=>-5x-19<5x+4

=>-10x<23

=>\(x>-\dfrac{23}{10}\)

b: \(3x+2+\left|x+5\right|=0\left(1\right)\)

TH1: x>=-5

(1) trở thành: 3x+2+x+5=0

=>4x+7=0

=>\(x=-\dfrac{7}{4}\left(nhận\right)\)

TH2: x<-5

=>x+5<0

=>|x+5|=-x-5

Phương trình (1) sẽ trở thành:

\(3x+2-x-5=0\)

=>2x-3=0

=>2x=3

=>\(x=\dfrac{3}{2}\)

18 tháng 2 2022

\(3,x^3-4x=0\)

\(x\left(x^2-4\right)=0\)

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

\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=0\\x=2\end{matrix}\right.\)

\(4,4x-3\left(x-2\right)=7-x\)

\(4x-3x+6=7-x\)

\(x+6=7-x\)

\(2x=1\)

\(x=\dfrac{1}{2}\)

18 tháng 2 2022

\(3\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)

\(\Leftrightarrow4x-3x+6-7+x=0\Leftrightarrow x=\dfrac{1}{2}\)

9 tháng 5 2020

a,<=> 3x+1/4-2x-3/5=1

<=> x-7/20=1

<=> x= 27/20

a, \(\left(3x+\frac{1}{4}\right)-\frac{1}{3}\left(6x+\frac{9}{5}\right)=1\)

\(3x+\frac{1}{4}-\frac{6}{3}x-\frac{3}{5}=1\)

\(x-\frac{7}{20}=1\Leftrightarrow x=\frac{27}{20}\)

b,ĐKXĐ : x \(\ne\)-1/2 ; 1/2 

 \(\left(\frac{5}{2x+1}\right)-\left(\frac{2x}{1-2x}\right)=1-\left(\frac{6-4x}{4x^2-1}\right)\)

\(\frac{5}{2x+1}-\frac{2x}{1-2x}=1-\frac{6-4x}{4x^2-1}\)

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

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

\(22x-5-20x^2-8x^3=18x-7-8x^3-4x^2\)

lm nốt nha,bị troll rồi ko vt đc nữa.

13 tháng 3 2022

\(a)PT\Leftrightarrow4x^2-9-4x^2+20x+3x=0.\\ \Leftrightarrow23x=9.\\ \Leftrightarrow x=\dfrac{9}{23}.\\ b)PT\Leftrightarrow\left(2x+1\right)\left(4x-3\right)-\left(2x+1\right)\left(2x-1\right)=0.\\\Leftrightarrow\left(2x+1\right)\left(4x-3-2x+1\right)=0.\\ \Leftrightarrow\left(2x+1\right)\left(2x-2\right)=0.\\ \Leftrightarrow\left(2x+1\right)\left(x-1\right)=0. \)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{2}.\\x=1.\end{matrix}\right.\)

23 tháng 2 2022

\(\dfrac{2x-1}{5}-\dfrac{4x}{3}=2x-\dfrac{x}{10}\\ \Leftrightarrow\dfrac{6\left(2x-1\right)}{30}-\dfrac{40x}{30}=\dfrac{60x}{30}-\dfrac{3x}{30}\\ \Leftrightarrow12x-6-40x=60x-3x\\ \Leftrightarrow-28x-6=57x\\ \Leftrightarrow57x+28x+6=0\\ \Leftrightarrow85x=-6\\ \Leftrightarrow x=-\dfrac{6}{85}\)

Bài 1: 

a) Ta có: \(2\left(3-4x\right)=10-\left(2x-5\right)\)

\(\Leftrightarrow6-8x-10+2x-5=0\)

\(\Leftrightarrow-6x+11=0\)

\(\Leftrightarrow-6x=-11\)

hay \(x=\dfrac{11}{6}\)

b) Ta có: \(3\left(2-4x\right)=11-\left(3x-1\right)\)

\(\Leftrightarrow6-12x-11+3x-1=0\)

\(\Leftrightarrow-9x-6=0\)

\(\Leftrightarrow-9x=6\)

hay \(x=-\dfrac{2}{3}\)

a: \(\Leftrightarrow x\left(2x+10\right)-x\left(x-2\right)=0\)

=>x(2x+10-x+2)=0

=>x(x+12)=0

=>x=0 hoặc x=-12

b: \(\Leftrightarrow\left(2x-5\right)\left(x+11\right)+\left(2x-5\right)\left(2x+1\right)=0\)

=>(2x-5)(3x+12)=0

=>x=5/2 hoặc x=-4

c: \(\Leftrightarrow\left(2x\right)^2-\left(x+3\right)^2=0\)

=>(x-3)(3x+3)=0

=>x=3 hoặc x=-1

d: \(\Leftrightarrow\left(x+2\right)\left(5-4x\right)-\left(x+2\right)^2=0\)

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

=>(x+2)(-5x+3)=0

=>x=-2 hoặc x=3/5

6 tháng 2 2022

\(a,\left(x-2\right)x=2x\left(x+5\right)\)

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

\(\Leftrightarrow x.\left(x-2-2x-10\right)=0\)

\(\Leftrightarrow x\left(-x-12\right)=0\Leftrightarrow\left\{{}\begin{matrix}x=0\\x+12=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0\\x=-12\end{matrix}\right.\)

Sửa đề: 2(x-1)^2+4x-19=(2x-1)(2x+5)

=>2(x^2-2x+1)+4x-19=4x^2+10x-2x-5

=>2x^2-4x+2+4x-19=4x^2+8x-5

=>4x^2+8x-5=2x^2-17

=>2x^2+8x+12=0

=>x^2+4x+6=0

=>(x+2)^2+2=0(loại)