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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
a) ta có : \(|-x+8|\ge0\)
=> \(|-x+8|-21\ge-21\)
=> A \(\ge-21\)
Vậy A đạt GTNN là -21 khi x=8
b) ta có :\(|-x-17|+|y-36|\ge0\)
=> \(|-x-17|+|y-36|+12\ge0+12\)
=> B \(\ge12\)
Vậy B đạt GTNN là 12 khi x=-17 và y =36
c) ta có: \(-|2x-8|\le0\)
=> \(-|2x-8|-35\le0-35\)
=> C \(\le-35\)
Vậy C đạt GTLN là -35 khi 2x-8=0==> x=4
d) ta có : \(3.\left(3x-12\right)^2\ge0\)
=> \(3.\left(3x-12\right)^2-35\ge0-35\)
=> \(D\ge-35\)
Vậy D đạt GTNN là -35 khi x =4
e) ta có : \(-3.|2x+50|\le0\)
=>: \(-21-3.|2x+50|\le0-21\)
=> E \(\le-21\)
vậy E đạt GTLN là -21 khi x=-25
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) (2x-6)3 = (2x-6)2018
=> (2x-6)3 - (2x-6)2018 = 0
(2x-6)3.[1-(2x-6)2015 ] = 0
=> (2x-6)3 = 0 =>...
1 - (2x-6)2015 = 0 => (2x-6)2015 = 1 => ...
b) (2x-1)3 = 27 = 33
=> 2x - 1 = 3
=> ...
c) (x + 1) + (x+2) + (x+3) + ...+ (x+100) = 5750
x.100 + (1+2+3+...+100) = 5750
x.100 + [(1+100).100:2] = 5750
x.100 + 5050 = 5750
x.100 = 700
x = 7
Bài 1 Tìm x biết:
a)65-(29-x)=32
65 -29+x=31
x=31-65+29
x=-5
b)(x+5)-(x+23)=x-34
x+5 -x +23 = x-34
(x-x)+ (23+5)=x-34
0+28=x-34
28=x-34
28+34=x
62=x
=>x=62
c)(16-x)+(x-38)=x+44
16-x+x-38=x+44
-x+x-x=44-16+38
-x=36
=>x=-36
d)-12+3(-x+7)=-18
3(-x+7)=-18+12
3(-x+7)=-6
-x+7=-6:3
-x+7=-2
-x=-2-7
-x=-9
=>x=9
Baif 2
d)|7-x|=10
=> \(\left[{}\begin{matrix}7-x=10\\7-x=-10\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=7-10\\x=-10-7\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=-3\\x=-17\end{matrix}\right.\)
e)(x-6).(7-2x)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}x-6=0\\7-2x=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0+6\\2x=7\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=6\\x=7:2\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=6\\x=3,5\end{matrix}\right.\)
f)(9-x).(2x+8)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}9-x=0\\2x+8=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0+9\\2x=-8\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=9\\x=-4\end{matrix}\right.\)
g)x(-x+8).(-3x-18)=0
\(\Rightarrow\) \(\left[{}\begin{matrix}x=0\\-x+8=0\\-3x-18=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\-x=0+8\\-3x=0+18\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\-x=8\\-3x=18\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\x=-8\\x=18:\left(-3\right)\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=0\\x=-8\\x=-6\end{matrix}\right.\)
h)(-x+8).(x-54).(-24-x)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}-x+8=0\\x-54=0\\-24-x=0\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}-x=8\\x=0+54\\-x=0+24\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=8\\x=54\\-x=24\end{matrix}\right.\)
\(\Rightarrow\)\(\left[{}\begin{matrix}x=8\\x=54\\x=-24\end{matrix}\right.\)
Bài 2:
a: =>3x=-15
hay x=-5
b: =>3x-27=2x+11
=>x=38
c: \(\Leftrightarrow2x^2=32\)
\(\Leftrightarrow x^2=16\)
=>x=4 hoặc x=-4
d: =>-12x+60+21-7x=15
=>-19x+81=15
=>-19x=-66
hay x=66/19
a) x = 72
b) x = 15
c) x = 34
d) x = 6
e)
f) x = 2 , x =3
g) x=1,x=-3
h)x=3,x=-2
mik chỉ bt giải thế thôi
CHÚC BẠN HỌC TỐT
Bài làm
a) ( x - 15 ) : 3 = 19
x - 15 = 19 . 3
x - 15 = 57
x = 57 + 15
x = 72
Vậy x = 72.
b) ( 5x - 45 ) . 15 = 450
5x - 45 = 450 : 15
5x - 45 = 30
5x = 75
x = 15
Vậy x = 15.
c) 187 - 3( x + 4 ) = 34
3( x + 4 ) = 187 - 34
3( x + 4 ) = 153
x + 4 = 153 : 3
x + 4 = 51
x = 47
Vậy x = 47.
d) 9x - 45 = 37 : 35
9x - 45 = 32
9x - 45 = 9
9( x - 5 ) = 9
x - 5 = 9 : 9
x - 5 = 1
x = 6
Vậy x = 6.
e ) ( 12x - 43 ) . 83 = 4 . 84
( 12x - 64 ) = 4 . 84 : 83
12x - 64 = 4 . 8
12x - 64 = 32
12x = 96
x = 8
Vậy x = 8.
f ) Đề bài không rõ ràng.
g ) ( x + 1 )2 = 4
=> ( x + 1 )2 = 22
=> x + 1 = 2
=> x = 1
Vậy x = 1.
h ) ( 2x - 1 )2 = 25
=> ( 2x - 1 )2 = 52
=> 2x - 1 = 5
=> 2x = 6
=> x = 3
Vậy x = 3
k ) ( 2x - 1 )5 = 243
=> ( 2x - 1 )5 = 35
=> 2x - 1 = 3
=> 2x = 4
=> x = 2
Vậy x = 2
# Học tốt #
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