\(⋮\)(2x + 3)

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24 tháng 1 2017

13) \(720\div\left[41-\left(2x-5\right)\right]=2^3.5\)

\(\Rightarrow720\div\left[41-\left(2x-5\right)\right]=40\)

\(\Rightarrow41-\left(2x-5\right)=720\div40\)

\(\Rightarrow41-\left(2x-5\right)=18\)

\(\Rightarrow2x-5=41-18\)

\(\Rightarrow2x-5=23\)

\(\Rightarrow2x=23+5\)

\(\Rightarrow2x=28\)

\(\Rightarrow x=28\div2\)

\(\Rightarrow x=14\)

14) \(\left\{\left[\left(2x+14\right)\div2^2-3\right]\div2\right\}-1=0\)

\(\left[\left(2x+14\right)\div2^2-3\right]\div2=0+1\)

\(\left[\left(2x+14\right)\div2^2-3\right]\div2=1\)

\(\left(2x+14\right)\div2^2-3=1.2\)

\(\left(2x+14\right)\div2^2-3=2\)

\(\left(2x+14\right)\div2^2=2+3\)

\(\left(2x+14\right)\div2^2=5\)

\(2x+14=5.2^2\)

\(2x+14=20\)

\(2x=20-14\)

\(2x=6\)

\(x=6\div2\)

\(x=3\)

22 tháng 11 2016

a) \(\left(2x+1\right)^3=125\)

\(\Rightarrow2x+1=5\)

\(\Rightarrow2x=4\)

\(\Rightarrow x=2\)

Vậy \(x=2\)

b) \(1999^{2x-6}=1\)

\(\Rightarrow1999^{2x-1}=1999^0\)

\(\Rightarrow2x-1=0\)

\(\Rightarrow2x=1\)

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

Vậy \(x=\frac{1}{2}\)

c) \(x^{2002}=x\)

\(\Rightarrow x^{2002}-x=0\)

\(\Rightarrow x.\left(x^{2001}-1\right)=0\)

\(\Rightarrow x=0\) hoặc \(x^{2001}-1=0\)

+) \(x=0\)

+) \(x^{2001}-1=0\Rightarrow x^{2001}=1\Rightarrow x=1\)

Vậy \(x\in\left\{0;1\right\}\)

d) \(\left(x-1\right)^2=9\)

\(\Rightarrow x-1=\pm3\)

+) \(x-1=3\Rightarrow x=4\)

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

Vậy \(x\in\left\{4;-2\right\}\)

e) \(\left(2x-3\right)^2=81\)

\(\Rightarrow2x-3=\pm9\)

+) \(2x-3=9\Rightarrow2x=12\Rightarrow x=6\)

+) \(2x-3=-9\Rightarrow2x=-6\Rightarrow x=-3\)

Vậy \(x\in\left\{6;-3\right\}\)

Các phần khác làm tương tự

22 tháng 11 2016

Dễ nhưng bận r

13 tháng 4 2018

Giải:

a) \(\left(4,5-2x\right).\left(-1\dfrac{4}{7}\right)=\dfrac{11}{14}\)

\(\Leftrightarrow\left(4,5-2x\right).\left(-\dfrac{3}{7}\right)=\dfrac{11}{14}\)

\(\Leftrightarrow4,5-2x=\dfrac{11}{14}:\left(-\dfrac{3}{7}\right)=-\dfrac{11}{6}\)

\(\Leftrightarrow2x=4,5-\left(-\dfrac{11}{6}\right)\)

\(\Leftrightarrow2x=\dfrac{19}{3}\)

\(\Leftrightarrow x=\dfrac{19}{3}:2=\dfrac{19}{6}\)

Vậy ...

b) \(\dfrac{4}{9}x=\dfrac{9}{8}-0,125\)

\(\Leftrightarrow\dfrac{4}{9}x=\dfrac{9}{8}-\dfrac{1}{8}\)

\(\Leftrightarrow\dfrac{4}{9}x=1\)

\(\Leftrightarrow x=1:\dfrac{4}{9}=\dfrac{9}{4}\)

Vậy ...

Các câu còn lại làm tương tự.

12 tháng 8 2018

a)  x \(\vdots\) 6 => x \(\in\) Ư(6) = {1;2;3;6}

Mà 6 \(\vdots\) x - 1 => x \(\in\) {2;3;4;7}

Câu còn lại bn tự lm nha

12 tháng 8 2018

a)

6 : x - 1

=> x - 1 thuộc Ư(6) = { 1; 2; 3; 6; -1; -2; -3; -6 }

Sau đó lập bảng tìm x

b) 

tương tự

^^

19 tháng 6 2017

a, \(\left(2x-3\right)\left(\dfrac{3}{4}x+1\right)=0\)

\(\Rightarrow\left\{{}\begin{matrix}2x-3=0\\\dfrac{3}{4}x+1=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}2x=3\\\dfrac{3}{4}x=-1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{-4}{3}\end{matrix}\right.\)

Vậy......

b, \(\left(5x-1\right)\left(2x-\dfrac{1}{3}\right)=0\)

\(\Rightarrow\left\{{}\begin{matrix}5x-1=0\\2x-\dfrac{1}{3}=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}2x=1\\2x=\dfrac{1}{3}\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{1}{6}\end{matrix}\right.\)

Vậy......

c, \(\dfrac{3}{7}+\dfrac{1}{7}:x=\dfrac{3}{14}\)

\(\Rightarrow\dfrac{1}{7}:x=\dfrac{-3}{14}\)

\(\Rightarrow x=\dfrac{1}{7}:\dfrac{-3}{14}=\dfrac{-2}{3}\)

Vậy.....

Chúc bạn học tốt!!!

19 tháng 6 2017

a,(2x-3)(\(\dfrac{3}{4}\)x+1)=0

*2x-3=0\(\rightarrow\)2x=3\(\rightarrow\)x=\(\dfrac{3}{2}\)

*\(\dfrac{3}{4}\)x+1=0\(\rightarrow\)\(\dfrac{3}{4}\)x=\(-1\)\(\rightarrow\)x=\(\dfrac{-3}{4}\)

Vậy x\(\in\){\(\dfrac{-3}{4};\dfrac{3}{2}\)}

b,(5x-1)(2x-1/3)=0

*5x-1=0\(\rightarrow\)5x=1\(\rightarrow\)x=1/5

*2x-1/3=0\(\rightarrow\)2x=1/3\(\rightarrow\)x=1/6

Vậy x\(\in\){1/5;1/6}

c,3/7+1/7:x=3/14

1/7:x=-3/14

x=-14/21
Vậy x=-14/21

23 tháng 10 2018

cu the hon di bn

\(a.6⋮\left(x-1\right)\)

\(\Rightarrow x-1\inƯ\left(6\right)\)

\(\LeftrightarrowƯ\left(6\right)=\left\{1;2;3;6\right\}\)

\(\Rightarrow x\in\left\{2;3;4;7\right\}\)

\(b.14⋮\left(2x+3\right)\)

\(\Rightarrow2x+3\inƯ\left(14\right)\)

\(\LeftrightarrowƯ\left(14\right)=\left\{1;2;7;14\right\}\)

\(\Rightarrow x\in\left\{2\right\}\)

10 tháng 10 2018

14⋮ (2x+3)

=> (2x+3) ∈ Ư(14)= { -14;-7;-2;-1;1;2;7;14}

ta có bảng sau

2x+3 -14 -7 -2 -1 1 2 7 14
2x -17 -10 -5 -4 -2 -1 -4 -11
x -17/2 -5 -5/2 -2 -1 -1/2 -2 -11/2

vậy .....

4 tháng 4 2017

a, \(2-\dfrac{14}{x}=\dfrac{-22}{3}\)

\(\dfrac{14}{x}=2-\dfrac{-22}{3}=\dfrac{28}{3}\)

\(\dfrac{14}{x}=\dfrac{28}{3}\)

=> \(x.28=14.3\)

\(x.28=42\)

\(x=42:28\)

\(x=\dfrac{3}{2}=1,5\)

b, \(\left(\dfrac{2x}{5}+1\right):\left(-7\right)=\dfrac{1}{35}\)

\(\dfrac{2x}{5}+1=\dfrac{1}{35}.\left(-7\right)=-\dfrac{1}{5}\)

\(\dfrac{2x}{5}=-\dfrac{1}{5}-1=\dfrac{-6}{5}\)

\(\dfrac{2x}{5}=\dfrac{-6}{5}\)

=> \(2x=-6\)

\(x=-6:2=-3\)

4 tháng 4 2017

a)

\(2-\dfrac{14}{x}=-\dfrac{22}{3}\)

\(\Rightarrow\dfrac{14}{x}=2-\dfrac{-22}{3}=\dfrac{28}{3}\)

\(\Rightarrow x=\dfrac{14.3}{28}=\dfrac{3}{2}=1,5\)

b)

\(\left(\dfrac{2x}{5}+1\right):\left(-7\right)=\dfrac{1}{35}\)

\(\Rightarrow\dfrac{2x}{5}+1=\dfrac{1}{35}.\left(-7\right)\)

\(\Rightarrow\dfrac{2x}{5}+1=-\dfrac{1}{5}\)

\(\Rightarrow\dfrac{2x}{5}=-\dfrac{1}{5}-1=-\dfrac{6}{5}\)

Hay \(\dfrac{2x}{5}=-\dfrac{6}{5}\)

\(\Rightarrow2x=-6\)

\(\Rightarrow x=-\dfrac{6}{2}=-3\)

Chúc bạn học tốt!ok