Tìm x :
( 1 + x ) + ( 2 + x ) + ( 4 + x ) + ( 7 + x ) + ..... + ( 22 + x ) = 77
cho mình hỏi bài này với a: tìm các số tự nhiên x biết
x/7=22/77
\(\dfrac{x}{7}=\dfrac{22}{77}\)\(_{_{ }_{ }^{ }\dfrac{x}{7}=\dfrac{22}{77}}\)
`x/7 = 22/77`
`=>77x= 22.7`
`=>77x= 154`
`=>x=154:77`
`=>x=2`
1.Tính giá trị biểu thức
a,2+4+8+16+...+1024
b,1x2+2x3+3x+4x5+... + 14x15
2.Tìm x
a, ( 1+x) + ( 2+x) + ( 4+x) + ( 7+x)+...+(22+x) = 77
b,X + 2 x X+3 x X+4 x+ ... + 100 x X = 15150
c,X x X + 1x1+2x2 + 3x3 + 4x4 + ... +20x20 = 2895
mk chỉ biết câu a bài 2 thôi thông cảm
Bài 2:
a)x=2
(1+x)+(2+x)+(4+x)+(7+x)+...+(22+x)=77
giup mik nha rat gap , tang 6 tick cho nguoi tra loi nhanh va dung nhat
(1+x)+(2+x)+(4+x)+(7+x)+...+(22+x)=77
=> (1+2+4+7+...+22)+(x+x+x+x+...+x)=77 ( 7 số hạng x)
=> 63 + 7x =77
=> 7x =77-63
=> 7x =14
=> x = 14:7
=> x =2
Vậy x = 2
Giảng hộ em mình nhé mình ko có thời gian giảng cho em giúp mình!!
1). (1+x)+(2+x)+(3+x)+(4+x)+(7+x)+......+(22+x)=77
2). 102:x-7,5:x=27
1)(1+x)+(2+x)+(3+x)+.....+(22+x)=77
=>1+x+2+x+.....+22+x=77
=>22.x+(1+2+3+.....+21+22)=77
=>22.x+253=77
=>22x=77-253
=>22x=-176
=>x=-8
1) \(\left(1+x\right)+\left(2+x\right)+\left(3+x\right)+....+\left(22+x\right)=77\)(22 cặp)
\(\Rightarrow1+x+2+x+3+x+......+22+x=77\)
\(\Rightarrow\left(1+2+3+.....+22\right)+\left(x+x+x+....+x\right)=77\)(22 số x)
\(\Rightarrow\left[\left(22+1\right).22:2\right]+22x=77\)
\(\Rightarrow253+22x=77\Rightarrow22x=77-253\Rightarrow22x=-176\Rightarrow x=-8\)
Tìm số tự nhiên x biết :
a, 2.(x – 5)+7 = 77
b, x - 1 3 - 3 5 : 3 4 + 2 . 2 3 = 14
c, 1 + 2 + 2 2 + 2 3 + . . . + 2 2016 = 2 x - 1 - 1
d, 5 2 x - 3 - 2 . 5 2 = 5 2 . 3
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
Tìm số tự nhiên x, biết:
a, 2(x - 51) = 2.23+20
b, 2x - 49 = 5.32
c, [(8x - 12) : 4].33 = 36
d, 2x+1- 22 = 32
e, (x3 - 77): 4 = 5
a: \(2\left(x-51\right)=2\cdot2^3+20\)
=>\(2\left(x-51\right)=2^4+20=36\)
=>x-51=36/2=18
=>x=18+51=69
b: \(2x-49=5\cdot3^2\)
=>\(2x-49=5\cdot9=45\)
=>2x=45+49=94
=>x=94/2=47
c: \(\left[\left(8x-12\right):4\right]\cdot3^3=3^6\)
=>\(\left[4\cdot\dfrac{\left(2x-3\right)}{4}\right]=3^3\)
=>\(2x-3=3^3=27\)
=>2x=3+27=30
=>x=30/2=15
d: \(2^{x+1}-2^2=32\)
=>\(2^{x+1}=32+2^2=32+4=36\)
=>\(x+1=log_236\)
=>\(x=log_236-1\)
e: \(\left(x^3-77\right):4=5\)
=>\(x^3-77=20\)
=>\(x^3=77+20=97\)
=>\(x=\sqrt[3]{97}\)
1. Tính rồi rút gọn:
a) (x - 7)(x + 7) - x^2
2. Tìm x:
x(x - 4) - x^2 + 8 = 0
Bài 2:
Ta có: \(x\left(x-4\right)-x^2+8=0\)
\(\Leftrightarrow x^2-4x-x^2+8=0\)
\(\Leftrightarrow-4x=-8\)
hay x=2
1)=x2-49-x2
=-49
2)=>x2-4x-x2+8=0
=>-4x+8=0
=>-4x=-8
=>x=2
1.tìm x thuộc Z, biết :
a) x - 3 / x + 7 = -5/-6
b) x - 7 / x + 3 = 4/3
c) x - 10 / 6 = -5/18
d) x - 2 / 4 = 25 / x-2
e) 7/x = x/28
f) 40 + x / 77-x = 6/7
2.tìm x,y thuộc Z, biết
x - y = 4 và x - 7 / y+ 6=7/6
1a) \(\frac{x-3}{x+7}=\frac{-5}{-6}\)
=> \(\frac{x-3}{x+7}=\frac{5}{6}\)
=> (x - 3).6 = 5.(x + 7)
=> 6x - 18 = 5x + 35
=> 6x - 5x = 35 + 18
=> x = 53
b) \(\frac{x-7}{x+3}=\frac{4}{3}\)
=> (x - 7). 3 = (x + 3). 4
=> 3x - 21 = 4x + 12
=> 3x - 4x = 12 + 21
=> -x = 33
=> x = -33
c) \(\frac{x-10}{6}=-\frac{5}{18}\)
=> (x - 10) . 18 = -5 . 6
=> 18x - 180 = -30
=> 18x = -30 + 180
=> 18x = 150
=> x = 150 : 18 = 25/3
d) \(\frac{x-2}{4}=\frac{25}{x-2}\)
=> (x - 2)(x - 2) = 25 . 4
=> (x - 2)2 = 100
=> (x - 2)2 = 102
=> \(\orbr{\begin{cases}x-2=10\\x-2=-10\end{cases}}\)
=> \(\orbr{\begin{cases}x=12\\x=-8\end{cases}}\)
e) \(\frac{7}{x}=\frac{x}{28}\)
=> 7 . 28 = x . x
=> 196 = x2
=> x2 = 142
=> \(\orbr{\begin{cases}x=14\\x=-14\end{cases}}\)
f) \(\frac{40+x}{77-x}=\frac{6}{7}\)
=> (40 + x) . 7 = (77 - x).6
=> 280 + 7x = 462 - 6x
=> 280 - 462 = -6x + 7x
=> -182 = x
=> x = -182
Tìm STN x, biết
1) (x + 2) - 2 = 0 2) (x + 3) + 1 = 7
3) (3x - 4) + 4 = 12 4) (5x + 4) - 1 = 13
5) (4x - 8) - 3 = 5 6) 3 + (x - 5) = 7
7) 8 - (2x - 4) = 2 8) 7 + (5x + 2) = 14
9) 5 - (3x - 11) = 1 10) 16 - (8x + 2) = 6
Lời giải:
1. $(x+2)-2=0$
$x+2=2$
$x=0$
2.
$(x+3)+1=7$
$x+3=7-1=6$
$x=6-3=3$
3.
$(3x-4)+4=12$
$3x-4+4=12$
$3x=12$
$x=12:3=4$
4.
$(5x+4)-1=13$
$5x+4=13+1=14$
$5x=14-4=10$
$x=10:5=2$
5.
$(4x-8)-3=5$
$4x-8=5+3=8$
$4x=8+8=16$
$x=16:4=4$
6.
$3+(x-5)=7$
$x-5=7-3=4$
$x=4+5=9$
7.
$8-(2x-4)=2$
$2x-4=8-2=6$
$2x=6+4=10$
$x=10:2=5$
8.
$7+(5x+2)=14$
$5x+2=14-7=7$
$5x=7-2=5$
$x=5:5=1$
9.
$5-(3x-11)=1$
$3x-11=5-1=4$
$3x=11+4=15$
$x=15:3=5$
10.
$16-(8x+2)=6$
$8x+2=16-6=10$
$8x=10-2=8$
$x=8:8=1$