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`Answer:`
a. \(\left(x-3\right)+\left(x-2\right)+\left(x-1\right)+...+9+10+11=11\)
\(\Leftrightarrow x-3+x-2+x-1+...+9+10+11=11\)
\(\Leftrightarrow3x+\left(-3-2-1+0+...+11\right)=11\)
\(\Leftrightarrow3x+60=11\)
\(\Leftrightarrow3x=-49\)
\(\Leftrightarrow x=-\frac{49}{3}\)
b. \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=5750\)
\(\Leftrightarrow\left(x+x+x+...+x\right)+\left(1+2+3+...+100\right)=5750\)
\(\Leftrightarrow100x+[\left(100+1\right).100:2]=5750\)
\(\Leftrightarrow100x+5050=5750\)
\(\Leftrightarrow100x=700\)
\(\Leftrightarrow x=7\)
c. \(2^x+2^{x+1}+2^{x+2}=960-2^{x+3}\)
\(\Leftrightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=960\)
\(\Leftrightarrow2^x+2.2^x+4.2^x+8.2^x=960\)
\(\Leftrightarrow2^x.\left(1+2+4+8\right)=960\)
\(\Leftrightarrow2^x.15=960\)
\(\Leftrightarrow2^x=64\)
\(\Leftrightarrow x=6\)
2(3x +2) -15=4x+9
6x+12-4x=9+15
6x - 4x=24-12
(6-4)x=12
2x=12
x=6
Vậy x=6
bik thế thoi ak
(x+1) + (x+2) + ... + (x+100) = 5750
(x+x+...+x) + (1+2+..+100) = 5750
100x + (101 x 100 : 2 ) = 5750
100x + 5050 = 5750
=> 100x = 5750 - 5050
100 x = 700
=> x = 700 : 100
=> x = 7
\(a.\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)
\(\left(x+x+x+...+x\right)+\left(1+2+3+4+...+100\right)=5750\)
\(100x+\left(1+2+3+4+...+100\right)=5750\)
\(100x+5050=5750\)
\(100x=5750-5050\)
\(100x=700\)
\(x=700:100\)
\(x=7\)
a) x . 100 + (1 + 2 + .... + 100) = 5750
x . 100 + 5050 = 5750
x . 100 = 5750 - 5050
x . 100 = 700
x = 700 : 100
x = 7
b) vô câu hỏi tương tự ấy, lười ghi quá :)))
a) (x+1)+(x+2)+(x+3)+...+(x+100)
=100.x+(1+2+3,..+100)
=100.x+100.101/2
=>
100x+101.50=5750
100x=5750-5050=700
x=7
b) 433 - (15x + 70) = 33
(15x + 70) = 433 - 33
(15x + 70) = 400
15x = 400 - 70
15x = 330
x = 330 : 15
x = 22
c) (13 + x ) . 8 = 136
(13 + x ) = 136 : 8
(13 + x ) = 17
x = 17 - 13
x = 4
d) 3x - 35 = 40
3x = 40 + 35
3x = 75
x = 75 : 3
x = 25
các bạn ơi hãy k cho mk và kban các bạn nhé!!!! I love you!!!! thank for reading. chúc các bạn học giỏi
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ... + ( x + 100 ) = 5750
x x 100 + ( 1 + 2 + 3 + ... + 100 ) = 5750
x x 100 + 5050 = 5750
x x 100 = 5750 - 5050
x x 100 = 700
x = 700 : 100
x = 7
Mấy cái dưới dễ tự làm ik chứ bn
a) \(???\)
b) \(123x+877x=2000\)
\(1000x=2000\)
\(x=2000:1000\)
\(x=2\)
c) \(2x.\left(x-10\right)=0\)
=> \(x-10=0\)
\(x=10\)
d)\(6.\left(x+2\right)-\left(4x+10\right)=100\)
\(6.x+12-4x+10=100\)
\(2x+2=100\)
\(2x=98\)
\(x=98:2\)
\(x=49\)
e) \(x.\left(x+1\right)=2+4+6+8+...+2500\)
\(x.\left(x+1\right)=1563750\)
mà ta thấy : \(1250.1251=1563750\)
=> \(x=1250\)
g)\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)
\(x.100+5050=5750\)
\(x.100=5750-5050\)
\(x.100=700\)
\(x=7\)
\(5x\left(4+2\right)+3x=240\) \(\left(8x+x+63\right):11=9\)
\(20x+10x+3x=240\) \(8x+x+63=99\)
\(33x=240\) \(9x=36\)
\(x=\frac{240}{33}\) \(x=4\)
5.(4x + 2) + 3x = 240
20x + 10 + 3x = 240
23x + 10 = 240
23x = 240 - 10
23x = 230
x = 230 : 23 = 10
31.57.x - 57.14.x = 85.57
(1767 - 798 ).x = 4845
969 . x = 4845
x = 4845 : 969
x = 5