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20 tháng 3 2020

Ta có : |2x + 1| + 10 - 2x = 0

=> |2x + 1| = 2x - 10 (1)

ĐK: \(2x-10\ge0\Leftrightarrow x\ge5\)

Khi đó (1) <=> \(\orbr{\begin{cases}2x+1=2x-10\\2x+1=-2x+10\end{cases}\Rightarrow\orbr{\begin{cases}1=-10\left(\text{loại}\right)\\4x=11\end{cases}\Rightarrow}x=3,75\left(\text{loại}\right)}\)

\(\Rightarrow x\in\varnothing\)

31 tháng 1 2017

\(\frac{1-2x}{10}+\frac{3-2x}{8}+\frac{23-2x}{6}=0\)

\(\Leftrightarrow\frac{1}{10}-\frac{2x}{10}+\frac{3}{8}-\frac{2x}{8}+\frac{23}{6}-\frac{2x}{6}=0\)

\(\Leftrightarrow\frac{1}{10}-\frac{x}{5}+\frac{3}{8}-\frac{x}{4}+\frac{23}{6}-\frac{x}{3}=0\)

\(\Leftrightarrow\left(\frac{1}{10}+\frac{3}{8}+\frac{23}{6}\right)-\left(\frac{x}{3}+\frac{x}{4}+\frac{x}{5}\right)=0\)

\(\Leftrightarrow\frac{517}{120}-\left(\frac{x}{3}+\frac{x}{4}+\frac{x}{5}\right)=0\)

\(\Leftrightarrow x\left(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}\right)=\frac{517}{120}\)

\(\Leftrightarrow x.\frac{47}{60}=\frac{517}{120}\)

\(\Rightarrow x=\frac{517}{120}:\frac{47}{60}=\frac{11}{2}\)

Vậy \(x=\frac{11}{2}\)

31 tháng 1 2017

(1-2x)/10+(3-2x)/8+(23-2x)/6=0

[48(1-2x)+60(3-2x)+80(23-2x)]/480=0

48-96x+180-120x+1840-160x=0

2068-376x=0

-376x=-2068

x=11/2

29 tháng 8 2015

Tìm x biết :a) ( 2x - 3 ).( x +1 ) > 0b) ( x + 5 ).(x-7) < 0c) | 2x - 3 | + 8 = 10d) ( 2x + 5 ) . | x -8 | . ( x2 + 1 ) = 0

16 tháng 5 2019

a,  (2x - 1)  - (x + 6) = 0 

=> 2x - 1 - x - 6 = 0 

=> 2x - x = 0 + 6 + 1 

=> x = 7 

Vậy x = 7 

b, 2x - 1 - (5 - x) = -10 

=> 2x - 1 - 5 + x =  - 10 

=> 2x + x = -10 + 5 + 1 

=> 3x  =  -4 

=> x = -4/3 

\(a,2x-1=x+6\)

\(x=7\)

Vậy...

22 tháng 7 2021

a) 2x+8≤ 0 

⇔2x≤-8

⇔x≤-4

b) 4x-7 ≥ 2x -5

⇔2x-12 ≥ 0

⇔2x≥12

⇔x≥6

c) (2x-8)(15-3x)>0

TH1: 2x-8>0 ⇒x>4

        15-3x>0⇒x<5 

TH2:  2x-8<0 ⇒x<4

        15-3x<0⇒x>5 (vô lí)

vậy 4<x<5

30 tháng 11 2016

\(2x^2-7x+5=0\)

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

\(2x\left(x-1\right)-5\left(x-1\right)=0\)

\(\left(x-1\right)\left(2x-5\right)=0\)

\(\left[\begin{array}{nghiempt}x-1=0\\2x-5=0\end{array}\right.\)

\(\left[\begin{array}{nghiempt}x=1\\2x=5\end{array}\right.\)

\(\left[\begin{array}{nghiempt}x=1\\x=\frac{5}{2}\end{array}\right.\)

\(x\left(2x-5\right)-4x+10=0\)

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

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

\(\left[\begin{array}{nghiempt}x-2=0\\2x-5=0\end{array}\right.\)

\(\left[\begin{array}{nghiempt}x=2\\2x=5\end{array}\right.\)

\(\left[\begin{array}{nghiempt}x=2\\x=\frac{5}{2}\end{array}\right.\)

\(\left(x-5\right)\left(x+5\right)-x\left(x-2\right)=15\)

\(x^2-25-x^2+2x=15\)

\(2x=15+25\)

\(2x=40\)

\(x=\frac{40}{2}\)

\(x=20\)

\(x^2\left(2x-3\right)-12+8x=0\)

\(x^2\left(2x-3\right)+4\left(2x-3\right)=0\)

\(\left(2x-3\right)\left(x^2+4\right)=0\)

\(2x-3=0\) (vì \(x^2\ge0\Rightarrow x^2+4\ge4>0\))

\(2x=3\)

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

\(x\left(x-1\right)+5x-5=0\)

\(x\left(x-1\right)+5\left(x-1\right)=0\)

\(\left(x-1\right)\left(x+5\right)=0\)

\(\left[\begin{array}{nghiempt}x-1=0\\x+5=0\end{array}\right.\)

\(\left[\begin{array}{nghiempt}x=1\\x=-5\end{array}\right.\)

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

\(4x^2-12x+9-4x^2+4x=5\)

\(-8x=5-9\)

\(-8x=-4\)

\(x=\frac{4}{8}\)

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

\(x\left(5-2x\right)+2x\left(x-1\right)=13\)

\(5x-2x^2+2x^2-2x=13\)

\(3x=13\)

\(x=\frac{13}{3}\)

\(2\left(x+5\right)\left(2x-5\right)+\left(x-1\right)\left(5-2x\right)=0\)

\(\left(2x+10\right)\left(2x-5\right)-\left(x-1\right)\left(2x-5\right)=0\)

\(\left(2x-5\right)\left(2x+10-x+1\right)=0\)

\(\left(2x-5\right)\left(x+11\right)=0\)

\(\left[\begin{array}{nghiempt}2x-5=0\\x+11=0\end{array}\right.\)

\(\left[\begin{array}{nghiempt}2x=5\\x=-11\end{array}\right.\)

\(\left[\begin{array}{nghiempt}x=\frac{5}{2}\\x=-11\end{array}\right.\)

30 tháng 11 2016

Cảm ơn

 

13 tháng 4 2022

a)\(=>2x=-10=>x=-5\)

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

c)\(4-x=0=>x=4-0=4\)

d)\(=>2x=-1=>x=-\dfrac{1}{2}\)

13 tháng 4 2022

e)\(=>x^2=-2\)=> x ko tồn tại

f)\(=>x\left(2+1\right)=0=>3x=0=>x=0\)