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a) x + 30 % x = − 1 , 3
x 1 + 3 10 = − 13 10 13 10 x = − 13 10 x = − 1
b) 1 3 x + 2 5 x − 1 = 0
1 3 x + 2 5 x − 2 5 = 0 11 15 x = 2 5 x = 2 5 : 11 15 x = 6 11
c) 3 x − 1 2 − 5 x + 3 5 = − x + 1 5
3 x − 3 2 − 5 x − 3 = − x + 1 5 x = − 3 2 − 3 − 1 5 x = − 47 10
a )531 + ( 218 - x ) = 735
218 - x = 735 - 531
218 - x = 204
x = 218 - 204
x = 14
a ) 541 + ( 218 - x ) = 735
218 - x = 735 - 541
218 - x = 194
x = 218 - 194
x = 24
a/ \(13x-1=10x+5\)
\(\Rightarrow13x-10x=5+1\)
\(\Rightarrow3x=6\Rightarrow x=\dfrac{6}{3}=2\)
Vậy x = 2
b/ \(3\cdot\left|x-1\right|-1=5\cdot\left|x-1\right|-7\)
\(\Rightarrow3\cdot\left|x-1\right|-5\cdot\left|x-1\right|=-7+1\)
\(\Rightarrow\left(3-5\right)\cdot\left|x-1\right|=-6\)
\(\Rightarrow\left|x-1\right|=-6:\left(-2\right)=3\)
\(\Rightarrow\left[{}\begin{matrix}x-1=3\\x-1=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-2\end{matrix}\right.\)
Vậy...................
c/ \(x^2+8x+15=0\)
\(\Leftrightarrow x^2+3x+5x+15=0\)
\(\Leftrightarrow x\left(x+3\right)+5\left(x+3\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=0\\x+3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-5\\x=-3\end{matrix}\right.\)
Vậy............
a) 13x - 1 = 10x + 5
13x - 10x = 5 + 1
3x = 6
x = 2
Vậy x = 2 là giá trị cần tìm
b) 3|x - 1| - 1 = 5|x - 1| - 7
-1 + 7 = 5|x - 1| - 3|x - 1|
6 = 2|x - 1|
3 = |x - 1|
=> \(\left[{}\begin{matrix}x-1=3\\x-1=-3\end{matrix}\right.\)
TH1 : x - 1 = 3
x = 3 + 1
x = 4
TH1 : x - 1 = -3
x = -3 + 1
x = -2
Vậy \(\left[{}\begin{matrix}x=4\\x=-2\end{matrix}\right.\) là giá trị cần tìm
c)
Lời giải:
a.
$21\times 23-3\times 7\times (-17)$
$=21\times 23-21\times (-17)$
$=21\times 23+21\times 17=21\times (23+17)=21\times 40$
$=840$
b.
$42\times 3-7\times [(-34)+18]$
$=7\times 18-7\times (-16)$
$=7\times 18+7\times 16=7\times (18+16)=7\times 34=238$
c.
$=142\times 32+32\times (-7)-13\times 32$
$=32\times (142-7-32)=32\times 103=3296$
d.
$=13\times [(23-17)-(23+17)]$
$=13\times (23-17-23-17)=13\times (-34)=-442$
`5,17 : ( -1,3) + 1,43. 1,1 + 39. 0,143 + 7,83 : (-1,3)`
`=5,17 .(-10)/(13) + 7,83 .(-10)/13 +0,143.11 + 39. 0,143 `
`= (-10)/13 .( 5,17+7,83) + 0,143.(11+39)`
`= -10 + 7,15`
`=-2,85`
5,17:(−1,3)+1,43.1,1+39.0,143+7,83:(−1,3)=(5,17+7,83):(−1,3)+1,43.1,1+1,43.3,9=(5,17+7,83):(−1,3)+1,43(1,1+3,9)=13:(−1,3)+1,43.5=−10+7,15=−2,85
(1345-13x):7+145=248
(1345-13x):7=248-145
(1345-13x):7=103
1345-13x=103*7
1345-13x=721
13x=1345-721
13x=624
x=624:13
x=48
Ta có :
( 1345 - 13x ) : 7 + 145 = 284
( 1345 - 13x ) : 7 = 284 - 145
(1345 - 13x ) : 7 = 139
1345 - 13x = 139 . 7
1345 - 13x = 973
13x = 1345 - 973
13x = 372
x = 372 : 13
x = 372/13
Vậy x = 372/13
a) \(13\cdot\left(7-x\right)=26\)
\(\Rightarrow7-x=\dfrac{26}{13}\)
\(\Rightarrow7-x=2\)
\(\Rightarrow x=7-2\)
\(\Rightarrow x=5\)
b) \(\left(4x-18\right):3=2\)
\(\Rightarrow4x-18=2\cdot3\)
\(\Rightarrow4x-18=6\)
\(\Rightarrow4x=6+18\)
\(\Rightarrow4x=24\)
\(\Rightarrow x=24:4\)
\(\Rightarrow x=6\)
c) \(2\cdot x+98\cdot2022=98\cdot2023\)
\(\Rightarrow2\cdot x=98\cdot2023-98\cdot2022\)
\(\Rightarrow2\cdot x=98\cdot\left(2023-2022\right)\)
\(\Rightarrow2\cdot x=98\cdot1\)
\(\Rightarrow x=\dfrac{98}{2}\)
\(\Rightarrow x=49\)
d) \(\left(x+1\right)+\left(x+3\right)+\left(x+5\right)+...+\left(x+101\right)=?\)
Thiếu đề
a) \(13.\left(7-x\right)=26\)
\(7-x=26:13\)
\(7-x=2\)
\(x=7-2\)
\(x=5\)
b) \(\left(4x-18\right):3=2\)
\(4x-18=6\)
\(4x=6+18\)
\(4x=24\)
\(x=24:4\)
\(x=6\)
vì tích bằng 0 nên một trong hai thừa số đó sẽ bằng 0:
suy ra: 1,3-13x=0=>13x=0+1,3=1,3=>x=1,3:13=0,1
hoặc: x+7=0=>x=0-7=-7
vậy x=0,1 hoặc x=-7
Lấy 1,3-13x=0 hoặc x+7=0
13x=1,3 hoặc x=0-7
x=1,3:13 hoặc x=-7
x=0,1 hoặc x=-7
Vậy x=0,1 hoặc x=-7