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a, 2.(x – 5)+7 = 77
<=> 2.(x – 5) = 70 <=> x – 5 = 35 <=> x = 40
b, x - 1 3 - 3 5 : 3 4 + 2 . 2 3 = 14
<=> x - 1 3 - 3 + 2 4 = 14
<=> x - 1 3 = 14 + 3 - 16 = 1
<=> x – 1 = 1 <=> x = 2
c, 1 + 2 + 2 2 + 2 3 + . . . + 2 2016 = 2 x - 1 - 1
Đặt: A = 1 + 2 + 2 2 + 2 3 + . . . + 2 2016 => 2A = 2 + 2 2 + 2 3 + . . . + 2 2017
=> 2A – A = ( 2 + 2 2 + 2 3 + . . . + 2 2017 ) – ( 1 + 2 + 2 2 + 2 3 + . . . + 2 2016 )
=> A = 2 2017 - 1
Ta có: 1 + 2 + 2 2 + 2 3 + . . . + 2 2016 = 2 x - 1 - 1 => 2 2017 - 1 = 2 x - 1 - 1 => x = 2018
d, 5 2 x - 3 - 2 . 5 2 = 5 2 . 3
<=> 5 2 x - 3 = 5 2 . 3 + 5 2 . 2
<=> 5 2 x - 3 = 5 2 . ( 3 + 2 )
<=> 5 2 x - 3 = 5 3
<=> 2x – 3 = 3 => x = 3
mình giải ý c
5(x+27)=200
(x+27)=200:5
(x+27)=40
x=40-27
x=13
d , ( x : 7 + 15 ) . 23 + 391 => Đề thiếu
e , ( 19 . x + 2 . 52 ) : 14 = ( 13 - 8 ) 2 - 42
=> ( 19 . x + 2 . 52 ) : 14 = 52 - 16
=> ( 19 . x + 2 . 52 ) : 14 = 25 - 16 = 9
=> 19 . x + 2 . 52 = 9 x 14 = 126
=> 19 . x + 2 . 25 = 126
=> 19 . x + 50 = 126
=> 19 . x = 126 - 50 = 76
=> x = 76 : 19 = 4
Bài 1:
a: -8/12<0<-3/-4
b: -56/24<0<7/3
c: 4/25<1<15/13
=>-4/25>-15/13
Bài 2:
a: =-60/45=-4/3
b: =4/15-3/2-8/5=8/30-45/30-48/30=-85/30=-17/6
Ta có:
a)\(x-14=3x+18\)
\(\Rightarrow-14-18=3x-x\)
\(\Rightarrow-32=2x\Rightarrow x=-16\)
b)\(2\left(x-5\right)-3\left(x-4\right)=-6+15.\left(-3\right)\)
\(\Rightarrow2x-10-3x+12=-51\)
\(\Rightarrow-x+2=-51\Rightarrow-x=-51-2=-53\Rightarrow x=53\)
c)\(\left(x+7\right)\left(x-9\right)=0\Rightarrow\left[{}\begin{matrix}x+7=0\\x-9=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-7\\x=9\end{matrix}\right.\)
d)\(\left|2x-5\right|-7=22\Rightarrow\left|2x-5\right|=22+7=29\)
\(\Rightarrow\left[{}\begin{matrix}2x-5=29\\2x-5=-29\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=17\\x=-12\end{matrix}\right.\)
a) ( x - 18 ) - ( 19 ) = | - 7 |
=> ( x - 18 ) - 19 = 7
=> x - 18 = 26
=> x = 44
b) x - | 14 | = | - 23 | + ( -19 )
=> x - 14 = 23 - 19
=> x - 14 = 4
=> x = 18
c) 2( x - 8 ) - ( -11 ) = ( -23 )
=> 2 ( x - 8 ) = ( - 23 ) + ( - 11 )
=> 2 ( x - 8 ) = - 34
=> x - 8 = - 17
=> x = - 9
d) | x - 1 | = 4
=> \(\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=-3\end{cases}}}\)
a, ( 19.x + 2.52):14 = 9
( 19.x + 2.52) = 9.14
( 19.x + 2.52) = 126
19.x + 50 = 126
19.x = 126 - 50
19.x = 76
x = 76 : 19
x = 4
b, 2.3x - 18 = 62
2.3x - 18 = 36
2.3x = 36 - 18
2.3x = 18
3x = 18 : 2
3x = 9
3x = 32
x = 2
c) ( x : 7 + 15 ) . 23 = 391
( x : 7 + 15 ) = 391 : 23
( x : 7 + 15 ) = 17
x : 7 = 17 - 15
x : 7 = 2
x = 2 . 7
x = 14
d, 1+2+3+...+x = 500500
số số hạng là: ( x- 1 ) : 1 + 1 = x (số)
tổng là: (x+1).x : 2 = 500500
Suy ra : (x+1).x = 500500 x 2
(x+1).x = 1001000
(x+1).x = (1000 + 1 ).1000
Vậy x = 1000