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a ) \(2x-\left(-17\right)=15\)
\(\Leftrightarrow2x+17=15\)
\(\Leftrightarrow2x=15-17\)
\(\Leftrightarrow2x=-2\)
\(\Leftrightarrow x=-2\div2\)
\(\Leftrightarrow x=-1\)
b ) \(-2x-8=72\)
\(\Leftrightarrow-2x=72+8\)
\(\Leftrightarrow-2x=80\)
\(\Leftrightarrow x=-40\)
a) 2x - ( -17 ) = 15
-> 2x + 17 = 15
2x = 15 - 17
2x = -2
x = \(\frac{-2}{2}\)
x = -1
b) -2x - 8 = 72
-2x = 72 + 8
-2x = 80
x = 80 : ( -2 )
x = -40
c) 3 . \([x-1]\)= 27
x - 1 = \(\frac{27}{3}\)
x - 1 = 9
x = 9 + 1
x = 10
d) \([-2x+5]\)+ 8 = 21
-2x + 5 = 21 - 8
-2x + 5 = 13
-2x = 13 - 5
-2x = 8
x = \(\frac{8}{-2}\)
x = - 4
6 |x-3| - 9|x-3| = -21
( 6 - 9 ) |x-3| = - 21
-3 | x - 3| = - 21
| x -3 | =7
=>x- 3 = 7 hoặc x - 3 = -7
x - 3 = 7
=> x = 10
x - 3 = -7
=> x =-4
a) \(\left|\left|x-1\right|-1\right|=2\Rightarrow\orbr{\begin{cases}\left|x-1\right|-1=2\\\left|x-1\right|-1=-2\end{cases}}\Rightarrow\orbr{\begin{cases}\left|x-1\right|=3\\\left|x-1\right|=-1\left(l\right)\end{cases}}\)
TH1: x - 1 = 3
x = 4
TH2: x - 1 = - 3
x = - 2
b) Tương tự câu a.
c) \(\left|\left|2x-3\right|-x+1\right|=42-8\)
\(\left|\left|2x-3\right|-x+1\right|=34\)
TH1: \(\left|2x-3\right|-x+1=34\)
\(\left|2x-3\right|-x=33\)
Với \(x\ge\frac{3}{2}\), ta có \(2x-3-x=33\Rightarrow x=36\) (tm)
Với \(x< \frac{3}{2}\), ta có \(3-2x-x+1=34\Rightarrow-3x=30\Rightarrow x=-10\left(tm\right)\)
TH2: \(\left|2x-3\right|-x+1=-34\)
\(\left|2x-3\right|-x=-35\)
Với \(x\ge\frac{3}{2}\), ta có \(2x-3-x=-35\Rightarrow x=-32\) (l)
Với \(x< \frac{3}{2}\), ta có \(3-2x-x+1=-34\Rightarrow-3x=38\Rightarrow x=\frac{38}{3}\left(l\right)\)
d) Tương tự câu c.
a) (4x – 2)(x + 5) = 0
⇔ \(\left[{}\begin{matrix}4x-2=0\\x+5=0\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}4x=2\\x=-5\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=\frac{1}{2}\\x=-5\end{matrix}\right.\)
Vậy ...
b) 2x – 9 = -8 – 9
⇔ 2x = - 8
⇔ x = - 4
Vậy x = - 4
c) 3.| x -1 | - 27 = 0
⇔ 3 . | x - 1| = 27
⇔ | x - 1| = 9
⇔ \(\left[{}\begin{matrix}x-1=9\\x-1=-9\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=10\\x=-8\end{matrix}\right.\)
Vậy x ∈ { 10 ; - 8}
d) 5.(3x + 8) –7.(2x + 3) = 16
⇔ 15x + 40 - 14x - 21 = 16
⇔ x + 19 = 16
⇔ x = - 3
Vậy ..
a)\(\left(4x-2\right)\left(x+5\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}4x-2=0\\x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{1}{2}\\x=-5\end{matrix}\right.\)
Vậy...
b)\(2x-9=-8-9\\ \Leftrightarrow2x-9=-17\\ \Leftrightarrow2x=-8\\ \Leftrightarrow x=-4\)
Vậy...
c)\(2\left|x-1\right|-27=0\\ \Leftrightarrow\left|x-1\right|=\frac{27}{2}\)
\(\Rightarrow\left[{}\begin{matrix}x-1=\frac{27}{2}\\x-1=-\frac{27}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{29}{2}\\x=-\frac{25}{2}\end{matrix}\right.\)
Vậy...
A,-3/-7+5/19+-4/7
=(-3/-7+-4/7)+5/19
=-1/7+5/19=16/133
B,-13/24+-5/24+7/21
=-3/4+7/21=-5/12
C,-5/13+(-8/13+1)
=(-5/13+-8/13)+1
=-1+1=0
D,2/3+(3/8+-2/3)
=(2/3+-2/3)+3/8
=0+3/8=3/8
E,(-3/4+5/8)+-1/8
=-1/8+1/8=0
a)-16=7-x-32=-25-x
x=-25+16=-9
b)x-25+x=x-15
2x-25=x-15
2x=x-15+25=x+10
x=10
c)14-27+13=x-3+14
0=x+11
x=-11
Gọi số gồm 27 chữ số đó là \(\overline{aaaaa......aaaaa}\)(27 chữ số a)
Giả sử:
\(\overline{aaaaaa.......aaaaaaa}⋮27\)
\(\Rightarrow\overline{aaaaaaaaa.......aaaaaaaaaaa}⋮3^3\)
\(\Rightarrow a+a+a+a+...+a+a⋮3^3\)
\(27a⋮3^3\)
\(3^3a⋮3^3\)
\(3^3a⋮27\)
\(\rightarrowđpcm\)
Bài làm
Gọi 27 chữ số là aaaa..aaaa ( có 27 chữ ố a )
Giả sử : aaaa..aaaa \(⋮\) 27
=> aaaa..aaaa \(⋮\) 33
=> 27a \(⋮\) 33
=> 33a \(⋮\) 33
Suy ra : aaaa..aaaa \(⋮\) 27 ( ĐPCM)
a) 3 . I x - 1 I = 27
| x-1| = 27:3
|x-1| = 9
TH1: x-1 = -9
x= -9+1
x= -8
TH2: x-1=9
x= 9+1
x= 10
Vậy...
b) I-2x + 5I + 8 = 21
| -2x +5| = 21-8
| -2x + 5| = 13
TH1: -2x+ 5= 13
-2x= 13-5
-2x=8
x= 8:(-2)
x= -4
TH2: -2x+5 = -13
-2x = =-13+5
-2x= -8
x= -8 : (-2)
x= 4
Vậy...
a ) 3 . | x- 1 | =27
<=>|x-1| = 9
<=> \(\orbr{\begin{cases}x-1=9\\x-1=-9\end{cases}\Rightarrow\orbr{\begin{cases}x=10\\x=-8\end{cases}}}\)
Vậy x = 10 hoặc x =-8