Question

Tim x biet : ( x + 1 ) + ( x + 2 ) + ... + ( x + 100 ) = 5750

Answer 1

( x + 1 ) + ( x + 2 ) + ... + ( x + 100 ) = 5750

x + 1 + x + 2 + ... + x + 100 = 5750

( x + x + ... + x ) + ( 1 + 2 + ... + 100 ) = 5750

Số số hạng là : ( 100 - 1 ) : 1 + 1 = 100 ( số )

Tổng là : ( 100 + 1 ) x 100 : 2 = 5050

=> 100a + 5050 = 5750

=> 100a = 700

=> a = 7

Answer 2

Tim x biet : ( x + 1 ) + ( x + 2 ) + ... + ( x + 100 ) = 5750

x . 100 + ( 1 + 2 + ... + 100) = 5750

x . 100 + 101 . 100 : 2 = 5750

x . 100 + 101 . 50 = 5750 

x . 100 + 5050 = 5750 

x . 100 = 700 => x = 7 

Answer 3

Ta có: ( 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

Answer 4

ta có ( x+1) + ( x +2) + ... + (x+100)=5750

=> (x+x+...+x) + ( 1+2+...+100)   = 5750 ( 100 chữ số x)

=> 100x    +    5050   = 5750

=> 100x                    = 700

=> x = 7

vậy .....

Answer 5

Bài làm

Ta có :

( x + 1 ) + ( x + 2 ) + ...... + ( x + 100 ) = 5750

( x + x + ...... + x ) + ( 1 + 2 + .......+ 100 ) = 5750

     x . 100             +    ( 100 + 1 ) . 100 : 2 = 5750

    x . 100              +         101 .100 : 2       = 5750

    x . 100              +              10100 : 2      = 5750

    x . 100              +                5050            = 5750

    x . 100                                                    = 5750 - 5050

    x . 100                                                   =              700

    x                                                            =         700 : 100

    x                                                             =                7

Answer 6

x = (x+x+...+x) + (1+2+...+100)= 5750

x = 100x x + 5050= 5750

x = 100 x x = 5750- 5050

x = 100 x x= 700

x= 700:100

x= 7

k nhé

Answer 7

\(\left(x+1\right)+\left(x+2\right)+....+\left(x+100\right)=5750\)

\(\Rightarrow x+1+x+2+....+x+100=5750\)

\(\Rightarrow100x+\left(1+2+....+100\right)=5750\)

\(\Rightarrow100x+\left[\left(100+1\right).100:2\right]=5750\)

\(\Rightarrow100x+5050=5750\)

\(\Rightarrow100x=700\Rightarrow x=7\)

Answer 8

(x+1)+(x+2)+(x+3)+...+(x+100)=5750

x+1+x+2+x+3+...+x+100=5750

x.100+(1+2+3+...+100)=5750

x.100+[(100-1):1+1].(100+1):2=5750

x.100+100.101:2=5750

x.100+5050=5750

x.100          =5750-5050

x.100           =700

x                  =700:100

x                  =7

vậy x=7

Answer 9

Không ghi lại đề nha ! 

\(\left[\left(x+1\right)+\left(x+100\right)\right]\times\left[\frac{x+100}{2}\right]=5750\)

\(\left(2x+101\right).\frac{x+100}{2}=5750\)

\(\frac{\left(2x+101\right).\left(x+100\right)}{2}=\frac{2.5750}{2}\)

\(2x^2+200x+101x+10100=11500\)

\(2x^2+301x-1400=0\)

\(\orbr{\begin{cases}x=4,51567244\\x=-155,01567\end{cases}}\)

Vậy x = ............

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