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a) \(56-\left(x+31\right)=12\)

\(\Rightarrow x+31=44\)

\(\Rightarrow x=13\)

b) \(\left(2x+5\right)\cdot4=6^2\)

\(\Rightarrow2x+5=9\)

\(\Rightarrow2x=4\)

\(\Rightarrow x=2\)

20 tháng 11 2017

a) 56 - ( x+31) = 12

\(\Rightarrow\) -x + 25 = 12

\(\Rightarrow\) -x = -13

\(\Rightarrow\) x = 13

b) ( 2x +5 ) . 4=62

\(\Leftrightarrow\) (2x + 5) . 4 = 36

\(\Rightarrow\) 2x + 5 = 9

\(\Rightarrow\) 2x = 4

\(\Rightarrow\) x = 2

Bài 4:

a: xy=-2

=>\(x\cdot y=1\cdot\left(-2\right)=\left(-2\right)\cdot1=\left(-1\right)\cdot2=2\cdot\left(-1\right)\)

=>\(\left(x,y\right)\in\left\{\left(1;-2\right);\left(-2;1\right);\left(-1;2\right);\left(2;-1\right)\right\}\)

b: \(\left(x-1\right)\left(y+2\right)=-3\)

=>\(\left(x-1\right)\cdot\left(y+2\right)=1\cdot\left(-3\right)=\left(-3\right)\cdot1=-1\cdot3=3\cdot\left(-1\right)\)

=>\(\left(x-1;y+2\right)\in\left\{\left(1;-3\right);\left(-3;1\right);\left(-1;3\right);\left(3;-1\right)\right\}\)

=>\(\left(x,y\right)\in\left\{\left(2;-5\right);\left(-2;-1\right);\left(0;1\right);\left(4;-3\right)\right\}\)

Bài 3:

a: \(x\left(x+9\right)=0\)

=>\(\left[{}\begin{matrix}x=0\\x+9=0\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=0\\x=-9\end{matrix}\right.\)

b: \(\left(x-5\right)^2=9\)

=>\(\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=3+5=8\\x=-3+5=2\end{matrix}\right.\)

c: \(\left(7-x\right)^2=-64\)

mà \(\left(7-x\right)^2>=0\forall x\)

nên \(x\in\varnothing\)

Bài 2:

a: \(\left(-31\right)\cdot x=-93\)

=>\(31\cdot x=93\)

=>\(x=\dfrac{93}{31}=3\)

b: \(\left(-4\right)\cdot x=-20\)

=>\(4\cdot x=20\)

=>\(x=\dfrac{20}{4}=5\)

c: \(5x+1=-4\)

=>\(5x=-4-1=-5\)

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

d: \(-12x+1=-4\)

=>\(-12x=-4-1=-5\)

=>\(12x=5\)

=>\(x=\dfrac{5}{12}\)

28 tháng 2 2018

\(12-\left|x+7\right|=12\)

\(\Rightarrow\left|x+7\right|=12-12\)

\(\Rightarrow\left|x+7\right|=0\)

\(\Rightarrow x+7=0\)

\(\Rightarrow x=0-7\)

\(\Rightarrow x=-7\)

e: =>-40+3+33+40-x=47

=>36-x=47

=>x=-11

f: =>x(x-3)(11-x)(11+x)=0

hay \(x\in\left\{0;3;11;-11\right\}\)

g: =>-62-38-x+2x=-100

=>x-100=-100

hay x=0

 

6 tháng 1 2022

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i: =>x-12-2x-31=6

=>-x-43=6

=>x+43=-6

hay x=-49

h: =>(x+1)=0

=>x=-1

f: =>x(x-3)(x+11)(x-11)=0

hay \(x\in\left\{0;3;-11;11\right\}\)

20 tháng 5 2018

a)\(\left(x-1\right)^{x+2}=\left(x-1\right)^{x+4}\Leftrightarrow\left(x-1\right)^{x+2}\left[\left(x-1\right)^2-1\right]=0\Leftrightarrow x\left(x-1\right)^{x+2}\left(x-2\right)=0\)

Do đó \(x\in\left\{0;1;2\right\}\)

25 tháng 7 2018

b)

\(\frac{1}{4}\cdot\frac{2}{6}\cdot\frac{3}{8}\cdot...\cdot\frac{31}{64}=2^x\Leftrightarrow\frac{1\cdot2\cdot3\cdot...\cdot31}{4\cdot6\cdot8\cdot...\cdot64}=2^x\Leftrightarrow\frac{31!}{\left(2\cdot2\right)\cdot\left(2\cdot3\right)\cdot\left(2\cdot4\right)\cdot...\cdot\left(2\cdot31\right)\cdot64}=2^x\)

\(\frac{31!}{2^{30}\cdot31!\cdot2^6}=2^x\Leftrightarrow\frac{1}{2^{36}}=2^x\Leftrightarrow2^{-36}=2^x\Rightarrow x=-36\)

15 tháng 1 2019

\(-3+x=5-\left(-7\right)\)

\(\Leftrightarrow-3+x=5+7\)

\(\Leftrightarrow-3+x=12\)

\(\Leftrightarrow x=12+3\)

\(\Leftrightarrow x=15\)

Vậy x= 15

15 tháng 1 2019

\(x-2=2x-7\)

\(\Leftrightarrow x-2+7=2x\)

\(\Leftrightarrow x-\left(2-7\right)=2x\)

\(\Leftrightarrow2-7=x-2x\)

\(\Leftrightarrow-5=-x\)

\(\Leftrightarrow x=5\)

Vậy x= 5

23 tháng 7 2018

a) 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3

= 24 x 31 + 24 x 42 + 24 x 27

= 21 x ( 31 + 42 + 27)

= 21 x 100

= 2100

b) 36 x 28 + 36 x 82 + 64 x 69 + 64 x 41

= 36 x ( 28 + 82) + 64 x ( 69 + 41)

= 36 x 110 + 64 x 110 

= 110 x ( 36 + 64)

= 110 x 100

= 11000

23 tháng 7 2018

a)2 x 31 x12 + 4 x 6 x 42 + 8 x 27 x 3

= 24 x 31 + 24 x 42 + 24 x 27

= 24 x (31 + 24 + 27)

=24 x 82

=1968

b)36 x 28 + 36 x 82 + 64 x 69 + 64 x 41

=36 x (28 + 82) + 64 x ( 69 + 41 )

=36 x 110 + 64 x 110

=3960 + 7040

=11000