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I x - 1/6 I - 6/16 = 25%
=> I x - 1/6 I- 6/16 = 1/4
=>I x - 1/6 I = 5/8
\(\Rightarrow\orbr{\begin{cases}x-\frac{1}{6}=\frac{5}{8}\\x-\frac{1}{6}=-\frac{5}{8}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{19}{24}\\x=-\frac{11}{24}\end{cases}}\)
vậy x = 19/24 , x = -11/24
\(\left|x-\frac{1}{6}\right|-\frac{6}{16}=25\%\)
\(\left|x-\frac{1}{6}\right|-\frac{3}{8}=\frac{2}{8}\)
\(\left|x-\frac{1}{6}\right|=\frac{2}{8}+\frac{3}{8}\)
\(\left|x-\frac{1}{6}\right|=\frac{5}{8}\)
=> 2 trường hợp:
1 là \(x-\frac{1}{6}=\frac{5}{8}\)
2 là \(x-\frac{1}{6}=\frac{-5}{8}\)
Trường hợp 1:\(x=\frac{5}{8}+\frac{1}{6}=\frac{19}{24}\)
Trường hợp 2:\(x=\frac{-5}{8}+\frac{1}{6}=\frac{-11}{24}\)
Hội con 🐄 chúc bạn học tốt!!!
Lời giải:
a. $21-2(x+6)=15$
$2(x+6)=21-15=6$
$x+6=6:2=3$
$x=3-6=-3$
b.
$3^{x+1}=27=3^3$
$\Rightarrow x+1=3$
$\Rightarrow x=2$
c.
$14-x=36$
$x=14-36=-22$
d.
$-3x+25=-2$
$-3x=-2-25=-27$
$x=(-27):(-3)=9$
e.
$37-2(x+6)=29$
$2(x+6)=37-29=8$
$x+6=8:2=4$
$x=4-6=-2$
h.
$2^{x-1}=16=2^4$
$x-1=4$
$x=4+1=5$
\(\dfrac{7}{16}+\dfrac{-1}{8}+\dfrac{9}{32}=\dfrac{14}{32}-\dfrac{4}{32}+\dfrac{9}{32}=\dfrac{19}{32}\)
\(\dfrac{5}{4}-\dfrac{25}{30}\times\dfrac{37}{44}+\dfrac{-25}{30}\times\dfrac{13}{44}+\dfrac{-25}{30}\times\dfrac{-6}{44}\)
\(=-\dfrac{25}{30}\times\left(\dfrac{5}{4}+\dfrac{37}{44}+\dfrac{13}{44}-\dfrac{6}{44}\right)\)
\(=-\dfrac{25}{30}\times\left(\dfrac{55}{44}+\dfrac{37}{44}+\dfrac{13}{44}-\dfrac{6}{44}\right)\)
\(=-\dfrac{25}{30}\times\dfrac{99}{44}\)
\(=-\dfrac{5}{6}\times\dfrac{9}{4}\)
\(=-\dfrac{15}{8}\)
\(\left(\dfrac{7}{16}+\dfrac{-1}{8}+\dfrac{9}{32}\right):\dfrac{5}{4}\)
\(=\left(\dfrac{14}{32}+\dfrac{-4}{32}+\dfrac{9}{32}\right):\dfrac{5}{4}\)
\(=\dfrac{19}{32}:\dfrac{5}{4}\)
\(=\dfrac{19}{32}.\dfrac{4}{5}=\dfrac{19.4}{32.5}=\dfrac{19}{40}\)
\(\dfrac{-25}{30}.\dfrac{37}{44}+\dfrac{-25}{30}.\dfrac{13}{44}+\dfrac{-25}{30}.\dfrac{-6}{44}\)
\(=\dfrac{-25}{30}.\left(\dfrac{37}{44}+\dfrac{13}{44}+\dfrac{-6}{44}\right)\)
\(=\dfrac{-25}{30}.\dfrac{44}{44}=\dfrac{-5}{6}.1=-\dfrac{5}{6}\)
\(\frac{31}{25}+\left(\frac{15}{16}-\frac{6}{15}\right)+\frac{1}{16}\)
\(=\frac{31}{25}+\frac{15}{16}-\frac{6}{15}+\frac{1}{16}\)
\(=\left(\frac{31}{25}-\frac{6}{15}\right)+\left(\frac{15}{16}+\frac{1}{16}\right)\)
\(=\frac{21}{25}+1\)
\(=\frac{46}{25}\)
A, 31/25 + ( 15/16 - 6/15) + 1/16
= 31/25 + 15/16 - 6/15 + 1/16
= ( 31/25 - 6/15 ) + ( 15/16 + 1/16 )
= 21/25 + 1
= 46/25
Chú ý: / này là phần nha
1) 9 . (x + 7) - 12 = 24
9 . (x + 7) = 24 + 12
9 . (x + 7) = 36
x + 7 = 36 : 9
x + 7 = 4
x = 4 - 7
x = -3
2) 12 - 3x = -30
3x = 12 - (-30)
3x = 12 + 30
3x = 42
x = 42 : 3
x = 14
3) 95 - 105 : x = 60
105 : x = 95 - 60
105 : x = 35
x = 105 : 35
x = 3
4) x + 35 = 12
x = 12 - 35
x = -23
5) (-24) - (10 - x) = 43
-24 - 10 + x = 43
-34 + x = 43
x = 43 - (-34)
x = 43 + 34
x = 77
6) 6 - (17 + x) = -16
6 - 17 - x = -16
-11 - x = -16
x = -11 - (-16)
x = -11 + 16
x = 5
7) (x - 18) - (-3) = 0
x - 18 + 3 = 0
x - 18 = 0 - 3
x - 18 = -3
x = -3 + 18
x = 15
8) 25 - (x - 6) = -1
25 - x + 6 = -1
25 - x = -1 - 6
25 - x = -7
x = 25 - (-7)
x = 25 + 7
x = 32
1)9.(x+7)-12=24
9.(x+7)=24+12
9.(x+7)=36
x+7=36:9
x+7=4
x=4-7
x=-3
Bài 3 .
a.25.(-70).2.(-4)
=[25.(-4)].[(-70).2]
=(-100).(-140)
=14000
b.16.(12-6)-12.(16-6)
=(16.12-16.6)-(12.16-12.6)
=16.12-16.6-12.16+12.6
=(16.12-12.16)-(16.6-12.6)
=0-6.(16-12)
=0-24=-24
c.125.(-24)+24.255
=24.[(-125)+255]
=24.100
=2400
d)25.(-55)+(-25).45
=25.[(-55)+(-45)]
=25.(-100)
=-2500
Bài 4
a.3x+18=3
3x =3-18
3x =-15
x =-15:3
x =-5
Vậy x=-5
b)\(4\left|x\right|=16\)
\(\left|x\right|\)=16:4
\(\left|x\right|\)=4
⇒\(\left[{}\begin{matrix}x=-4\\x=4\end{matrix}\right.\)
Vậy x∈{-4;4}
3)a)=(25.2).[(-70).(-4)]
=50.(-280)
=-14000
b)=16.6-12.10
=96-120
=-24
c)=-3000+6120
=3120
d)=1375+-1125
=250
4)a) 3x=3-18
3x=-15
x=-15:3
x=-5
b) \x\=16:4
\x\=4
suy ra x=4;-4
\(x=\frac{19}{24}\)
|x - 1/6| - 6/16 = 25%
=>|x - 1/6| - 6/16 = 1/4
=>|x - 1/6| =5/8
=>Có 2 trường hợp
x-1/6=5/8 =>x=5/8 + 1/6=19/24
x-1/6=-5/8 =>x=-5/8 +1/6=-11/24
Vậy x có 2 giá trị thõa mãn là 19/24 và -11/24
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