Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
`@` `\text {Ans}`
`\downarrow`
\(\dfrac{2}{3}-\dfrac{5}{6}+\dfrac{1}{12}\)
`=`\(\dfrac{8}{12}-\dfrac{10}{12}+\dfrac{1}{12}\)
`=`\(-\dfrac{1}{12}\)
_____
\(\dfrac{3}{4}+\dfrac{3}{16}-\dfrac{1}{2}?\)
`=`\(\dfrac{12}{16}+\dfrac{3}{16}-\dfrac{8}{16}\)
`=`\(\dfrac{7}{16}\)
_____
\(\dfrac{2}{5}-\dfrac{4}{7}+\dfrac{1}{2}\)
`=`\(\dfrac{2}{5}+\dfrac{1}{2}-\dfrac{4}{7}\)
`=`\(\dfrac{4}{10}+\dfrac{5}{10}-\dfrac{4}{7}\)
`=`\(\dfrac{9}{10}-\dfrac{4}{7}\)
`=`\(\dfrac{63}{70}-\dfrac{40}{70}=\dfrac{23}{70}\)
\(a,\dfrac{3}{4}x-\dfrac{7}{12}=\dfrac{5}{6}-\dfrac{2}{3}\\ \Rightarrow\dfrac{3}{4}x-\dfrac{7}{12}=\dfrac{1}{6}\\ \Rightarrow\dfrac{3}{4}x=\dfrac{1}{6}+\dfrac{7}{12}\\ \Rightarrow\dfrac{3}{4}x=\dfrac{3}{4}\\ \Rightarrow x=\dfrac{3}{4}:\dfrac{3}{4}\\ \Rightarrow x=1\\ b,\dfrac{-5}{x}=\dfrac{20}{28}\\ \Rightarrow\dfrac{-5}{x}=\dfrac{5}{7}\\ \Rightarrow\dfrac{-5}{x}=\dfrac{-5}{-7}\\ \Rightarrow x=-7\\ c,2\dfrac{1}{3}:x=7\\ \Rightarrow\dfrac{7}{3}:x=7\\ \Rightarrow x=\dfrac{7}{3}:7\\ \Rightarrow x=\dfrac{1}{3}\)
\(d,\dfrac{-105}{12}< x< \dfrac{20}{7}\Rightarrow x\in\left\{-8;-7;...;2\right\}\)
a: \(\Leftrightarrow x\cdot\dfrac{3}{4}=\dfrac{3}{4}\)
hay x=1
b: \(\Leftrightarrow x=\dfrac{-28\cdot5}{20}=-7\)
c: \(\Leftrightarrow x=\dfrac{7}{3}:7=\dfrac{1}{3}\)
d: \(\Leftrightarrow-8< x< 3\)
hay \(x\in\left\{-7;-6;-5;-4;-3;-2;-1;0;1;2\right\}\)
Câu 1
=> ( 2x-15)^3 - (2x -15)^5=0
(2x-15)^3 * ( -(2x-15)^2+1) =0
xét 2 TH : + (2x-15)^3=0
+ 1-(2x-15)^2 =0
=> ĐPCM
Bài 1:
a. $(-20)+x=-30$
$x-20=-30$
$x=-30+20=-(30-20)=-10$
b.
$(-10)-x=-20$
$x=(-10)-(-20)=-10+20=20-10=10$
c. Đề sai. Bạn xem lại.
d.
$x+(-3)=-7$
$x=-7-(-3)=-7+3=-(7-3)=-4$
e.
$x-(-5)=-9$
$x=(-9)+(-5)=-14$
f.
$x(-11)=12$
$x=\frac{12}{-11}=\frac{-12}{11}$
h.
$2x-10=20$
$2x=20+10=30$
$x=30:2=15$
l.
$4x-8=-8$
$4x=-8+8=0$
$x=0:4=0$
k.
$-12-(-2)x=-8$
$(-2)x=-12-(-8)=-12+8=-(12-8)=-4$
$x=(-4):(-2)=2$
Bài 2:
a. $-20-(10-x)=-3$
$10-x=-20-(-3)=-20+3=-(20-3)=-17$
$x=10-(-17)=10+17=27$
b.
$14+(14-x)=-2$
$14-x=-2-14=-16$
$x=14-(-16)=14+16=30$
c.
$-15-(x-3)=-7$
$x-3=-15-(-7)=-15+7=-8$
x=-8+3=-5$
d.
$(x+4)+(-20)=-8$
$x+4=-8-(-20)=-8+20=12$
$x=12-4=8$
e.
$-2x-2=-4$
$-2x=-4+2=-2$
$x=(-2):(-2)=1$
f.
$-2x+4=-4$
$-2x=-4-4=-8$
$x=(-8):(-2)=4$
l.
$-12-(-2)x=-2-4=-6$
$(-2)x=-12-(-6)=-12+6=-6$
$x=(-6):(-2)=3$
a. ( 20-36 ) + 116 = 20-36+116 = 20 - ( 36 - 116 ) = 20 - (- 80 ) = 20 + 80 = 100
b. 16.20 - 8.10.2 = 16.20 - 8.20 = ( 16 - 8 ) . 20 = 8.20 = 160
c. 2 . ( -3)2 + 4. ( -5 ) + 20
= 2.9 + ( - 20 ) + 20
= 18 + 0 = 18
a) x+3=12
x=12-3
x=9
b)(x-3):2=514:512
=>(x-3):2=52
=>(x-3):2=25
=>x-3=25.2
=>x-3=50
=>x=50+3
=>x=53
c)4x+3x=30-20:10
=>x(4+3)=30-2
=>7x=28
=>x=28:7
=>x=4
d)2x-138=23.32
=>2x-138=8.9
=>2x-138=72
=>2x=72+138
=>2x=210
=>x=210:2
=>x=105
a) x + 3 = 12
x = 12 - 3
x = 9
b) ( x - 3 ) : 2 = 514 : 512
( x - 3 ) : 2 = 514-12
( x - 3 ) : 2 = 52
( x - 3 ) : 2 = 25
x - 3 = 50
x = 53
c) 4x + 3x = 30 - 20 : 10
7x = 28
x = 4
d) 2x - 138 = 23 x 32
2x - 138 = 8 x 9
2x - 138 = 72
2x = 210
x = 105
a. -13 - (5-x) = -10
-13 - 5 + x = -10
x = -10 + 13 + 5
x = 8
Vậy x = 8
b, -3x - 15 = 2x - 20
-3x - 2x = -20 + 15
-5x = -5
x = -5 : (-5)
x = 1
Vậy x = 1
c, 5 - (x-3)^2 = 20
(x-3)^2 = 5 - 20
(x-3)^2 = -15 ( vô lí )
Vậy không có giá trị x thỏa mãn
d. | x - 12 | - (-5) = 12
| x - 12 | = 12 + (-5)
| x - 12 | = 7
x - 12 = + - 7
(+) x - 12 = 7 (+) x - 12 = -7
x = 7 + 12 x = -7 + 12
X = 19 x = 5
Vậy x thuộc { 19 ; 5 }
Ta có : 2 ^ 5 + 12 . ( x ^ 3 - 20 ) = 116
=> 32 + 12 . ( x ^ 3 - 20 ) = 116
=> 12 . ( x ^ 3 - 20 ) = 116 - 32
=> 12 . ( x ^ 3 - 20 ) = 84
=> x ^ 3 - 20 = 84 : 12
=> x ^ 3 - 20 = 7
=> x ^ 3 = 7 + 20
=> x ^ 3 = 27
=> x ^ 3 = 3 ^ 3
=> x = 3
Vậy x = 3
\(2^5+12\left(x^3-20\right)=116\)
\(\Rightarrow32+12\left(x^3-20\right)=116\)
\(\Rightarrow12\left(x^3-20\right)=116-32=84\)
\(\Rightarrow x^3-20=84:12=7\)
\(\Rightarrow x^3=7+20=27\)
\(\Rightarrow x^3=3^3\Rightarrow x=3\)
Vậy \(x=3\)
~ Học tốt ~