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(x + 1) + (x + 2) + (x + 3) + ... + (x + 1000) = 5750
<=> 100x + (1 + 2 + 3 + ... + 100) = 5750
<=> 100x + (1 + 100) x 50 = 5750
<=> 100x + 101 x 50 = 5750
<=> 100x + 5050 = 5750
<=> 100x = 5750 - 5050
<=> 100x = 700
<=> x = 7
Bạn xem lại đề hộ mình với,mình nghĩ chỗ cuối là x+100 nếu đúng là x+1000 thì làm như sau:
(X+1)+(X+2)+(x+3)+........+(x+1000)=5750
1000x+ (1+2+3+.......+1000)= 5750
1000x+ 500500= 5750
1000x = 5750 - 500500
1000x= -494750
x= -494750 : 1000
x= -494, 75
Vậy x = -494, 75
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ............ + ( x + 100 ) = 5750
( x + x + x + .......... + x ) + ( 1 + 2 + 3 + ........ + 100 ) = 5750
=> 100x + 5050 = 5750
100x = 5750 - 5050
100x = 700
x = 700 : 100
x = 7
100x +(1+2+3+...+100)=5750
100x + (100+1)x100 :2 = 5750
100x + 10100:2=5750
100x+ 5050 =5750
100x=5750=5050=700
x=700 :100 = 7
(x + 1) + (x + 2) + (x + 3) + .... + (x + 100) = 5750
=> 100x + (1 + 2 + 3 + ... + 100) = 5750
=> 100x + 5050 = 5750
=> 100x = 5750 - 5050
=> 100x = 700
=> x = 700 : 100
=> x = 7
HỌC TỐT
(x + 1) + (x + 2) + (x + 3) + .... + (x + 100) = 5750
=> 100x + (1 + 2 + 3 + ... + 100) = 5750
=> 100x + 5050 = 5750
=> 100x = 5750 - 5050
=> 100x = 700
=> x = 700 : 100
=> x = 7
chúc hok tốt!!! ^_^
Ta có : \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+1000\right)=5750\)
\(\Leftrightarrow1000x+\left(1+2+...+1000\right)=5750\)
\(\Leftrightarrow1000x+\frac{1001.1000}{2}=5750\)
\(\Leftrightarrow1000x=\frac{5750}{500500}=\frac{23}{2002}\)
\(\Leftrightarrow x=\frac{23}{2002000}\)
(x+1)+(x+2)+...+(x+1000)=5750
=>x.1000+(1+2+3+...+1000)=5750
=>x.1000+[(1000+1).1000:2]=5750
=>1000x+(1001000:2)=5750
=>1000x+500500=5750
=>1000x=5750-500500=-494750
=>x=-494750:1000=-494,75
Có lẽ đúng >: ko chắc :P
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=5750\)
\(100x+\left(1+2+3+4+...+100\right)=5750\)
\(100x+5050=5750\)
\(100x=5750-5050\)
\(100x=700\)
\(x=700\div100\)
\(x=7\)
Vậy ...
( X + 1 ) + ( X + 2 ) + ( X + 3 ) + ... + ( X + 100 ) = 5750
100 X + ( 1 + 2 + 3 + ... + 100 ) = 5750
100 X + 5050 = 5750
100 X = 5750 - 5050
100 X = 700
X = 700 : 100
X = 7
Vậy x = 7
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)\(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)
\(x.100+5050=5750\)
\(x.100=5750-5050\)
\(x.100=700\)
\(x=7\)
Ta có: \(\left(x+1\right)+\left(x+2\right)+...+\left(x+1000\right)=5750\)
\(\Leftrightarrow1000x+500500=5750\)
\(\Leftrightarrow x=-\dfrac{1979}{4}\)