a)214-136:(2.x-4)=197
b)5.x+73.21=73.26
c)(2.x-6).(3.x-18)=0
d)x.(x+1)=111222
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a: Ta có: \(5\left(4x-1\right)+2\left(1-3x\right)-6\left(x+5\right)=10\)
\(\Leftrightarrow20x-5+2-6x-6x-30=10\)
\(\Leftrightarrow8x=43\)
hay \(x=\dfrac{43}{8}\)
b: ta có: \(2x\left(x+1\right)+3\left(x-1\right)\left(x+1\right)-5x\left(x+1\right)+6x^2=0\)
\(\Leftrightarrow2x^2+2x+3x^2-3-5x^2-5x+6x^2=0\)
\(\Leftrightarrow6x^2-3x-3=0\)
\(\Leftrightarrow2x^2-x-1=0\)
\(\Leftrightarrow\left(x-1\right)\left(2x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{2}\end{matrix}\right.\)
(2x-6)(3x-18)=0
=> 2x-6=0 hoặc 3x-18=0
=> x=3 hoặc x=6
47.(x-3)=47
=> x-3=1
=> x=4
a)5. x +73.21=73.26
5. x +1533=1898
5.x =1898-1533
5. x =365
x =365:5
x =73
b)128-3.(x+4)=23
3.(x+4)=128-23
3.(x+4)=105
x+4=105:3
x+4=35
x =35-4
x =31
c)(x+1)+(x+3)+(x+4)+.....+(x+100)=5750
suy ra (x+x+x+......+x)+(1+2+3+...+100)
suy ra 100.x + 5050=575 0
suy ra 100. x =5750-5050
suy ra 100. x =700
x =700:100
x =7
Bạn tham khảo bài mình nhé .
a) 5 . x + 73 . 21 = 73 . 26
5 . x + 1533 = 1898
5 . x = 1898 - 1533
5 . x = 365
x = 365 : 5
x = 73
Vậy x = 73
b) 128 - 3 ( x + 4 ) = 23
3 ( x + 4 ) = 128 - 23
3 ( x + 4 ) = 105
x + 4 = 105 : 3
x + 4 = 35
x = 35 - 4
x = 31
Vậy x = 31
c) ( x + 1 ) + ( x + 3 ) + ( x + 3 ) + ... + ( x + 100 ) = 5750
\(\Rightarrow\) ( x + x + x + ... + x ) + ( 1 + 2 + 3 + ... + 100 )
\(\Rightarrow\) 100 . x + 5050 = 5750
\(\Rightarrow\) 100 . x = 5750 - 5050
\(\Rightarrow\)100 . x = 700
x = 700 : 100
x = 7
Vậy x = 7 .
a) \(\Leftrightarrow x^2-4x-x^2+6x-9=0\\ \Leftrightarrow2x=9\\ \Leftrightarrow x=4,5\)
b) \(\Leftrightarrow x^2-3x-10=0\\ \Leftrightarrow\left(x^2+2x\right)-\left(5x+10\right)=0\\ \Leftrightarrow x\left(x+2\right)-5\left(x+2\right)=0\\ \left(x-5\right)\left(x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=-2\end{matrix}\right.\)
c) \(\Leftrightarrow\left(2x-3-7\right)\left(2x-3+7\right)=0\\ \Leftrightarrow\left(2x-10\right)\left(2x+4\right)=0\\ \Leftrightarrow\left(x-5\right)\left(x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=-2\end{matrix}\right.\)
d) \(\Leftrightarrow\left(2x+7\right)\left(x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{7}{2}\\x=5\end{matrix}\right.\)
x:6=24+6
x:6=30
x=30 x 6
x=180
23+x:2=37
x:2=37-23
x:2=14
x=14 x 2
x=28
214-136:x=197
136:x=214-197
136:x=17
x=136:17
x=8
(x-4):6:5=10
(x-4):6=10 x 5=50
(x-4)=50 x 6
x-4=300
x=300+4=304
(x+1)+(x+2)+...+(x+10)=755
10x + (1+2+...+10)=755
10x + (1+10) x [(10-1):1+1]:2=755
10x + 55 = 755
10x=755-55
10x=700
x=700:10=70
chúc bạn học tốt nha
a: \(\Leftrightarrow x^2\left(x+1\right)-\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)^2\cdot\left(x-1\right)=0\)
=>x=-1 hoặc x=1
b: \(\Leftrightarrow x^2\left(x+1\right)-4\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x-2\right)\left(x+2\right)=0\)
hay \(x\in\left\{-1;2;-2\right\}\)
c: \(x^3+x^2+4=0\)
\(\Leftrightarrow x^3+2x^2-x^2-2x+2x+4=0\)
\(\Leftrightarrow\left(x+2\right)\cdot\left(x^2-x+2\right)=0\)
=>x+2=0
hay x=-2
e: \(\Leftrightarrow x^4-2x^3-3x^3+6x^2-x^2+2x+3x-6=0\)
\(\Leftrightarrow\left(x-2\right)\left(x^3-3x^2-x+3\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x-3\right)\left(x+1\right)\left(x-1\right)=0\)
hay \(x\in\left\{2;3;-1;1\right\}\)
1:
a: =>(|x|+4)(|x|-1)=0
=>|x|-1=0
=>x=1; x=-1
b: =>x^2-4>=0
=>x>=2 hoặc x<=-2
d: =>|2x+5|=2x-5
=>x>=5/2 và (2x+5-2x+5)(2x+5+2x-5)=0
=>x=0(loại)
a) 214 - 136 : ( 2x - 4 ) = 197
136 : ( 2x - 4 ) = 214 -197
( 2x - 4 ) = 136 : 17
2x = 8 + 4
x = 12 : 2
x = 6
b) 5.x + 73.21 = 73.26
5x + 1533 = 1898
5x = 1898 - 1533
x = 365 : 5
x = 73
c) Giống 2 bài trên ; kq : x = 3 ; x = 6
d) Giống 3 bài trên ; kq : x = 55611
( Cách giải : 2x + x = 111222
x = 111222 : 2
x = 55611 )
* Thử lại nhé *
Chúc bn học tốt !