Tìm x
(x+1) + (x+2) + ... + (x+211) = 23632
(x+1)(x+2)(x+3)(x+4)+.....+(x+211)=23632
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+211\right)=23632\\ \left(x\times211\right)+\left(1+2+...+211\right)=236032\\ \left(x\times211\right)+22366=236032\\ x\times211=236032-22366\\ x\times211=1266\\ x=1266:211\\ x=6\)
(x+1)(x+2)(x+3)(x+4)+.....+(x+211)=23632
=> (x + x + x + .... + x) x ( 1 + 2 + 3 + 4+....+ 211) = 23632
Có tất cả số hạng là:
\(\left(211-1\right):1+1=211\left(số\right)\)
=> \(x\times211=\text{ 23632}\)
\(x=\text{ 23632:211}\)
\(x=112\)
(x+1)+(x+2)+..........+(x+211)=23632
giúp mình nha cảm ơn
Thiếu đề hả bạn
Trả lời:
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+211\right)=0\)
\(\Leftrightarrow\left(x+x+...+x\right)+\left(1+2+...+211\right)=0\)
\(\Leftrightarrow211x+\left(211+1\right)\times\left[\left(211-1\right)\div1+1\right]\div2=0\)
\(\Leftrightarrow211x+212\times211\div2=0\)
\(\Leftrightarrow211x+22366=0\)
\(\Leftrightarrow211x=-22366\)
\(\Leftrightarrow x=-106\)
Vậy \(x=-106\)
Tính
(x+1)+(x+2)+(x+3)+...+(x+210)+(x+211)=23632
giúp mình giải chi tiết nhé
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ... + ( x + 210 ) + ( x + 211 ) = 23632
x + 1 + x + 2 + x +3 + .... + x + 210 + x + 211 = 23632
( x + x + x + .... + x ) + ( 1 + 2 + 3 + ... + 210 + 211 ) = 23632
211x + 22366 = 23632
211x = 23632 - 22366
211x = 1266
=> x = 1266 : 211 = 6
Vậy x = 6
ta có (x+1) + (x+2) + (x+3) + ... + (x+210) + (x+211) = 23632
= X + ( 1 + 2 +3 + 4 + .... + 210 + 211 ) = 23632
= X + ( 1 + 211 ) + ( 2 + 210 ) + .... =23632
= X + 212 x 105 =23632
= X + 22260 = 23632
= X = 23632 - 22260
= X = 1372
Bài 1: Tìm x
(x+1)+(x+2)+..........+(x+211)=23632
Bài 2:Thực hiện các phép tính một cách hợp lý nhất
a, 4,25×58,47-125 +41,53×4,25
b, 14:(14/3 - 14/9)+14÷(2/3+8/9)
Giúp mình vs
a)
(x*211)+(1+2+...+211)=23632
(x*211)+22366=23632
x*211=23632-22366
x*211=1266
x=1266:211
x=6
Vậy x=6
tìm x biết (x+1)+(x+2)+......+(x+211)=23632
GIÚP MIK .MIK XIN CẢM ƠN NHA
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ... + ( x + 210 ) + ( x + 211 ) = 23632
x + 1 + x + 2 + x +3 + .... + x + 210 + x + 211 = 23632
( x + x + x + .... + x ) + ( 1 + 2 + 3 + ... + 210 + 211 ) = 23632
211x + 22366 = 23632
211x = 23632 - 22366
211x = 1266
=> x = 1266 : 211 = 6
Vậy x = 6
BÀi 7 tìm số tự nhiên x biết
d) 35 : ( 2x x + 3) - 3 = 11 - 9 x 2,5 x 0,4; 8xx+ 4xx- 44=100; 5xx+ 3xx+ 4 = 68
e) ( x+1) + ( x+2) ....... + ( x + 211) = 23632
f) (1+3+5+7+........+2009) + x = 1010026
bài 8: tính hợp lí
( 98x 7676 - 9898 x 76) : ( 2+4 +6+........+200)
e) (x + 1) + (x + 2) + .... + (x + 211) = 23632
(x + x + .... + x) + (1 + 2 + ... + 211) = 23632
211x + 22366 = 23632
211x = 23632 - 22366
211x = 1266
=> x= 6
f) (1 + 3 + 5 + 7 + .... + 2009) + x = 1010026
Số số hạng của 1 + 3 + 5 + 7 + .... + 2009 là: (2009 - 1) : 2 + 1 = 1005
Tổng của 1 + 3 + 5 +... + 2009 là: (1 + 2009) x 1005 : 2 = 1010025
Ta được : 1010025 + x = 1010026
=> x = 1010026 - 1010025 = 1
Bài 8:
( 752248-752248) : ( 2+4+6+...+200)
0 : ( 2+4+6+200)=0
Chúc bạn hok tốt nha!
( X+1)+ ( x+2)+.......+ ( X+214)= 23632
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+214\right)=23632\)
\(\Rightarrow\left(x+x+.....+x\right)+\left(1+2+....+214\right)=23632\)
\(\Rightarrow214x+23005=23632\)
\(\Rightarrow214x=627\)
\(\Rightarrow x=\frac{627}{214}\)
Bài 1:Tính nhanh
a) 14 : (4\(\frac{2}{3}\)-1\(\frac{5}9\)) + 14 : (\(\frac{2}3\)+\(\frac{8}9\))
b)\(\frac{1212}{1515}\)+\(\frac{1212}{3535}\)+\(\frac{1212}{6363}\)+\(\frac{1212}{9999}\)
Bài 2:Tìm x
(x + 1) + (x + 2) +.........+ (x + 211) = 23632
\(1,\frac{1212}{1515}+\frac{1212}{3535}+\frac{1212}{6363}+\frac{1212}{9999}=\frac{12}{15}+\frac{12}{35}+\frac{12}{63}+\frac{12}{99}=6\left(\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}\right)=6\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\right).Tacocongthuc:\frac{1}{n}-\frac{1}{n+k}=\frac{k}{n\left(n+k\right)}\Rightarrow\frac{1212}{1515}+\frac{1212}{3535}+\frac{1212}{6363}+\frac{1212}{9999}=6\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-.....-\frac{1}{11}\right)=6\left(\frac{1}{3}-\frac{1}{11}\right)=\frac{48}{33}=\frac{16}{11}\)
\(2,\left(x+1\right)+\left(x+2\right)+.....+\left(x+211\right)=211x+\left(1+2+....+211\right)=211x+\frac{212.211}{2}=211x+22366=23632\Leftrightarrow211x=23632-22366=1266\Leftrightarrow x=6\)
a, \(14:\left(4\frac{2}{3}:1\frac{5}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
=> \(14:\frac{28}{9}+14:\frac{14}{9}=>14.\frac{9}{28}+14.\frac{9}{14}\)
=> 14. ( \(\frac{9}{28}+\frac{9}{14}\) )
=> \(14.\frac{27}{28}=\frac{419}{28}\)
b, \(\frac{1212}{1515}+\frac{1212}{3535}+\frac{1212}{6363}+\frac{1212}{9999}\)
=> \(\frac{4}{5}+\frac{12}{35}+\frac{4}{21}+\frac{4}{33}\)
=> \(\frac{8}{7}+\frac{24}{77}=\frac{16}{11}\)
bài 2 :
( x + 1 ) + ( x + 2 ) + ... + ( x + 211 ) = 23632
=> ( x + x + x + ... + x ) + ( 1 + 2 + 3 + ... + 211 ) = 23632
=> 211x + 22366 = 23632
=> 211x = 23632 - 22366
=> 211x = 1266
=> x = 1266 : 211
x = 6
Tìm x biết 2 . x - 123 = x + 211
2.x+123=x+221
2.x=x+98(đã bớt 123 ở cả 2 vế)
x=98(đã bớt 1.x ở cả ư vế)
Vậy x =98
2 . x + 123 = x + 211
2 . x = x + 211 + 123
2 . x = x + 334
2 . x - x = 334
( 2 . x ) - ( x . 1 ) = 334
x . ( 2 - 1 ) = 334
= 334 : 1
= 334