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Câu 2: 

1: \(\Leftrightarrow x\cdot\dfrac{7}{2}=\dfrac{9}{2}+3=\dfrac{15}{2}\)

hay x=15/7

2: \(\Leftrightarrow x=\dfrac{5}{2}\cdot\dfrac{8}{5}=4\)

3: \(\Leftrightarrow x=\dfrac{-11\cdot10}{5}=-11\cdot2=-22\)

4: =>2x=90

hay x=45

9 tháng 12 2021

\(132-2x+8=46\Leftrightarrow140-2x=46\Leftrightarrow2x=94\Leftrightarrow x=47\)

9 tháng 12 2021

\(2,\)

\(a,132-2\left(x-4\right)=46\)

\(\Rightarrow-2\left(x-4\right)=-86\)

\(\Rightarrow x-4=43\)

\(\Rightarrow x=47\)

Vậy: \(x=47\)

\(b.9x-4x=6^{17}:6^{15}+48:12\)

\(\Rightarrow5x=6^2+4\)

\(\Rightarrow5x=40\)

\(\Rightarrow x=8\)

Vậy: \(x=8\)

\(c,2^{x+3}.4=64\)

\(\Rightarrow2^{x+3}=16\)

\(\Rightarrow2^{x+3}=2^4\)

\(\Rightarrow x+3=4\)

\(\Rightarrow x=1\)

Vậy: \(x=1\)

13 tháng 4 2022

a sai vì 4 ko phải số nguyên tố

b sai lun vì 2x3 =6 trong đó 2 và 3 đều là số nguyên tố mà tích là 6 là số chẵn

 

17 tháng 12 2023

m: \(\left(-7x+7\right)\left(2x+100\right)=0\)

=>\(\left[{}\begin{matrix}-7x+7=0\\2x+100=0\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}-7x=-7\\2x=-100\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-50\end{matrix}\right.\)

n: \(2x\left(x+2023\right)\left(-4x+8\right)=0\)

=>\(2\cdot x\left(x+2023\right)\cdot\left(-4\right)\left(x-2\right)=0\)
=>x(x-2)(x+2023)=0

=>\(\left[{}\begin{matrix}x=0\\x-2=0\\x+2023=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2023\end{matrix}\right.\)

o: \(-2024x\left(4x-4\right)\left(-2x+6\right)=0\)

=>\(x\left(4x-4\right)\left(-2x+6\right)=0\)

=>\(x\cdot4\left(x-1\right)\cdot\left(-2\right)\left(x-3\right)=0\)

=>x(x-1)(x-3)=0

=>\(\left[{}\begin{matrix}x=0\\x-1=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=3\end{matrix}\right.\)

p: -17-2x=199

=>2x=-17-199=-216

=>x=-216/2=-108

q: -24+2x=100

=>2x=100+24=124

=>\(x=\dfrac{124}{2}=62\)

r: \(119-\left(x+5\right)=-21\)

=>\(x+5=119-\left(-21\right)=119+21=140\)

=>x=140-5=135

s: \(-24+\left(-7+x\right)=45\)

=>\(\left(x-7\right)-24=45\)

=>x-31=45

=>x=45+31=76

t: \(-146-\left(-5+x\right)=-6\)

=>\(x-5=-146-\left(-6\right)=-140\)

=>x=-140+5=-135

u: \(-29+4\left(1-5x\right)=-45\)

=>4(1-5x)=-45+29=-16

=>1-5x=-4

=>5x=1+4=5

=>\(x=\dfrac{5}{5}=1\)

v: \(24-5\left(-3+2x\right)=59\)

=>\(24-5\left(2x-3\right)=59\)

=>5(2x-3)=24-59=-35

=>2x-3=-7

=>2x=-4

=>x=-4/2=-2

17 tháng 12 2023

-17-2x=199

<=>-2x=216

<=>x=-108

 

-24+2x=100

<=>2x=124

<=>x=62

 

-24+(-7+x)=45

<=>-7+x=69

<=>x=76

 

-146-(-5+x)=-6

<=>-146+5-x=-6

<=>x=-135

 

-29+4(1-5x)=-45

<=>-29+4+20x=-45

<=>20x=-20

<=>x=-1

 

24-5(-3+2x)=59

<=>24+15-10x=59

<=>-10x=20

<=>x=-2

25 tháng 12 2023

a: \(\left(-256\right)\cdot45-256\cdot56+256\)

\(=256\left(-45-56+1\right)\)

\(=256\left(-100\right)=-25600\)

b: \(\left(-2\right)^3\cdot1975\cdot\left(-4\right)\cdot\left(-5\right)^3\cdot25\)

\(=\left(-8\right)\cdot\left(-125\right)\cdot\left(-4\right)\cdot25\cdot1975\)

\(=1000\cdot\left(-100\right)\cdot1975=-197500000\)

c: \(2076-1976\cdot65-1976\cdot35\)

\(=2076-1976\left(65+35\right)\)

\(=2076-1976\cdot100=2076-197600=-195524\)

d: \(-437-25\cdot78+25\cdot178\)

\(=-437+25\left(178-78\right)\)

\(=-437+2500=2063\)

AH
Akai Haruma
Giáo viên
3 tháng 2

c/

$C=\frac{11}{2}(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{91.93})$

$=\frac{11}{2}\left(\frac{3-1}{1.3}+\frac{5-3}{3.5}+...+\frac{93-91}{91.93}\right)$

$=\frac{11}{2}\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{91}-\frac{1}{93}\right)$

$=\frac{11}{2}(1-\frac{1}{93})$

$=\frac{11}{2}.\frac{92}{93}=\frac{506}{93}$

AH
Akai Haruma
Giáo viên
3 tháng 2

d/

$D=5\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+...+\frac{1}{675}\right)$

$=\frac{5}{2}\left(\frac{2}{3}+\frac{2}{15}+\frac{2}{35}+...+\frac{2}{675}\right)$

$=\frac{5}{2}\left(\frac{3-1}{1.3}+\frac{5-3}{3.5}+\frac{7-5}{5.7}+...+\frac{27-25}{25.27}\right)$

$=\frac{5}{2}\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{25}-\frac{1}{27}\right)$
$=\frac{5}{2}\left(1-\frac{1}{27}\right)$
$=\frac{5}{2}.\frac{26}{27}=\frac{65}{27}$

23 tháng 2 2023

15 tháng 12 2023

a: \(\left(x+10\right)\left(x-5\right)=0\)

=>\(\left[{}\begin{matrix}x+10=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-10\\x=5\end{matrix}\right.\)

b: \(\left(2x+10\right)\left(4+x\right)=0\)

=>\(\left[{}\begin{matrix}2x+10=0\\4+x=0\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=-4\\x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-4\\x=-5\end{matrix}\right.\)

c: \(\left(4x+20\right)\left(12x-24\right)=0\)

=>\(\left[{}\begin{matrix}4x+20=0\\12x-24=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}4x=-20\\12x=24\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=-5\\x=2\end{matrix}\right.\)

d: \(\left(x-2024\right)\left(4x+4\right)=0\)

=>\(\left[{}\begin{matrix}x-2024=0\\4x+4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2024\\4x=-4\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=-1\\x=2024\end{matrix}\right.\)

e: \(\left(2x-6\right)\left(7+x\right)=0\)

=>\(\left[{}\begin{matrix}2x-6=0\\x+7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=6\\x=-7\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=3\\x=-7\end{matrix}\right.\)

g: (4x+8)(6-x)=0

=>\(\left[{}\begin{matrix}4x+8=0\\6-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x+2=0\\x=6\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=-2\\x=6\end{matrix}\right.\)

h: (2x+2)(4x-8)=0

=>2(x+1)*4*(x-2)=0

=>(x+1)(x-2)=0

=>\(\left[{}\begin{matrix}x+1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)

i: (2x-2024)(8x-16)=0

=>\(2\left(x-1012\right)\cdot8\cdot\left(x-2\right)=0\)

=>\(\left(x-1012\right)\left(x-2\right)=0\)

=>\(\left[{}\begin{matrix}x-1012=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1012\\x=2\end{matrix}\right.\)

24 tháng 3 2022

\(\dfrac{3}{5}x-\dfrac{1}{2}x=\dfrac{3}{2}-0\)

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

\(\dfrac{1}{10}\cdot x=\dfrac{3}{2}\)

\(x=\dfrac{3}{2}:\dfrac{1}{10}\)

\(x=15\)

24 tháng 3 2022

\(\dfrac{3}{5x}-\dfrac{1}{2x}=\dfrac{3}{2-0}\)

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

\(\dfrac{3}{5}+\dfrac{-1}{2}=\dfrac{3}{2}\cdot x\)

\(\dfrac{1}{10}=\dfrac{3}{2}\cdot x\)

\(\dfrac{3}{2}\cdot x=\dfrac{1}{10}\)

     \(x=\dfrac{1}{10}\div\dfrac{3}{2}\)

    \(x=\dfrac{2}{30}\)

    \(x=\dfrac{1}{15}\)