a ) 10 x X - 1 - 3 - 5 - 7 - ... - 19 = 2 + 4 + 6 + ... + 20

10 x X - 1 - 3 - 5 - 7 - ... - 19 = 110

10 x X - ( 1 + 3 + 5 + 7 + ... + 19 ) = 110

10 x X - 100 = 110

10 x X = 110 + 100

10 x X = 210

       X = 210 : 10

       X = 21

a 10 x X-1-3-5-7-....-19 = 2+4+6+....+20

​10xX-1-3-5-7-....-19=110

​10xX=110+1+3+5+7+....+19

​10xX=210

​X=210:10

​X=21

b là 4

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    \(2016^x=1\)

    \(\Rightarrow x=0\)

tíc mình nha

\(\left(a-1\right)^{10}=\left(a-1\right)^{20}\)

\(\Rightarrow\left(a-1\right)^{20}-\left(a-1\right)^{10}=0\)

\(\Rightarrow\left(a-1\right)^{10}\cdot\left[\left(a-1\right)^{10}-1\right]=0\)

\(\Rightarrow\hept{\begin{cases}\left(a-1\right)^{10}=0\\\left(a-1\right)^{10}-1=0\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}a-1=0\\\left(a-1\right)^{10}=1\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}a=1\\a-1=1\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}a=1\\a=2\end{cases}}\)

a) Ta có:x-1=x-1

=>để \(\left(x-1\right)^{10}=\left(x-1\right)^{20}\) 

thì x=1  hoặc    x=2 

vậy......

hc tốt

a) \(\left(3x-2\right)\left(3x+2\right)-\left(3x+4\right)^2=20\\ \Rightarrow9x^2-4-9x^2-24x-16-20=0\\ \Rightarrow-24x-40=0\\ \Rightarrow-24x=40\\ \Rightarrow x=-\dfrac{5}{3}\)

b) \(6x^2-2x\left(3x+1\right)=10\\ \Rightarrow6x^2-6x^2-2x=10\\ \Rightarrow-2x=10\\ \Rightarrow x=-5\)

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

D

C

a) 3x - 10 = 2x + 13

<=> 3x - 2x = 13+10

<=> x = 23

      Vậy x = 23

b) x + 12 = -5 - x

<=> x + x = -5 - 12

<=> 2x = -17

<=> x = -17 : 2

<=> x = -8,5

      Vậy x = -8,5

c) x + 5 = 10 - x

<=> x + x = 10 - 5

<=> 2x = 5

<=> x = 5 : 2

<=> x = 2,5

      Vậy x = 2,5

d) 6x + 2 ^ 3 = 2x - 12

<=> 6x + 8 = 2x - 12

<=> 6x - 2x = -12 - 8

<=> 4x = -20

<=> x = -20 : 4

<=> x = -5

     Vậy x = -5

e) 12 - x = x + 1

<=> -x - x = 1 - 12

<=> -2x = -11

<=> x = -11 : (-2)

<=> x = 5,5

     Vậy x= 5,5

f) 14 - 4x = 3x + 20

<=> -4x - 3x = 20 - 14

<=> -7x = 6

<=> x = 6 : (-7)

<=> x = \(-\frac{6}{7}\)

Sửa đề lại :

Tìm x thuộc Z

\(5\times\left[\frac{1}{4}-\frac{1}{5}-\frac{1}{10}\right]\le\frac{x}{20}\le-3\times\left[\frac{1}{2}-\frac{1}{4}-\frac{1}{5}\right]\)

\(\Leftrightarrow5\times\left[\frac{5}{20}-\frac{4}{20}-\frac{2}{20}\right]\le\frac{x}{20}\le-3\times\left[\frac{10}{20}-\frac{5}{20}-\frac{4}{20}\right]\)

\(\Leftrightarrow5\times\frac{-1}{20}\le\frac{x}{20}\le-3\times\frac{1}{20}\)

\(\Leftrightarrow\frac{-5}{20}\le\frac{x}{20}\le\frac{-3}{20}\)

\(\Leftrightarrow-5\le x\le-3\)

\(\Leftrightarrow x\in\left\{-5;-4;-3\right\}\)

Study well >_<

bn lm câu nafycho mk luôn

(3/5--4/5)x60<x<3/7x(5/6-2+7/2)

mk đag caaffn gấp lm í

1. Ta có: \(\left|12-3x\right|-20=10\)

\(\Rightarrow\left|12-3x\right|=30\)

\(\Rightarrow12-3x=\pm30\)

Nếu \(12-3x=30\Rightarrow3x=-18\Rightarrow x=-6\)

Nếu \(12-3x=-30\Rightarrow3x=42\Rightarrow x=14\)

2. Ta có: \(\left(x+1\right)\left(y-2\right)=13=1.13=13.1=\left(-13\right).\left(-1\right)=\left(-1\right)\left(-13\right)\)