\(697:\frac{15x+364}{x}=17\)

\(\left(=\right)\frac{15x+364}{x}=41\)

\(\left(=\right)15x+364=41.x\)

\(\left(=\right)41x-15x=364\)

\(\left(=\right)26x=364\)

\(\left(=\right)x=14\)

\(697:\frac{15x+364}{x}=17\)

\(\Rightarrow\frac{15x+364}{x}=697:17\)

\(\Rightarrow\frac{15x+364}{x}=41\)

\(\Rightarrow15x+364=41x\)

\(\Rightarrow41x-15x=364\)

\(\Rightarrow26x=364\)

\(\Rightarrow x=364:26\)

\(\Rightarrow x=14\)

Vậy x = 14

_Chúc bạn học tốt_

\(697:\frac{15x+364}{x}=17\)

\(\frac{15x+364}{x}=697:17\)

\(\frac{15x+364}{x}=41\)

\(15x+364=41x\)

\(41x-15x=364\)

\(26x=364\)

\(x=364:26\)

\(x=14\)

Vậy \(x=14\)

Bài 1:

B = 1+2-3-4 + 5 + 6-7-8 + 9+10-11-12+...+110-111-112+113+114

B = 1 + (-5) + 5 + 9 + (-13)+...+ (-113) + 113 + 114

B = 1 + 114

B = 115

Bài 2:

697 : [(15x+364) : x ] = 17

(15x+364) . 1/x = 697 : 17

(15x+364) . 1/x = 41

15x. 1/x + 364.1/x = 41

15 + 364/x = 41

364/ x = 41-15

364/x = 26

x = 364 : 26

x = 14

Ta sẽ nhóm 4 số với nhau

B=(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+...+(109+110-111-112)+113+114

B=-4+(-4)+(-4)+...+(-4)+113+114 (Có 28 thừa số -4)

B=-4*28+113+114

Giải tiếp bên dưới hồi nãy ấn nhầm:

B=-112+113+114

B=115

Bài 2

697:[(15X+364):X]=17

(15X+364)x1/X=697:17

(15X+364)x1/X=41

15Xx1/X+364x1/X=41

15+364/X=41

364/X=41-15

364/X=26

X=364/26

X=14

\(697:\left(15x+364\right):x=17\)

\(\Leftrightarrow697:\left(15x+364\right)=17x\)

\(\Leftrightarrow697=17x\left(15x+364\right)\)

\(\Leftrightarrow255x^2+6188x-697=0\)

\(\Leftrightarrow nghiem-xau-minh-khong-lam-nhe!\)

(15x+364):x=697:17=41

15x+364=41x

364=41x-15x=26x

x=364: 26=14

[(x + 32) - 17] . 2 = 42

(x + 32) - 17 = 42 : 2

(x + 32) - 17 = 21

x + 32 = 21 + 17 

x + 32 = 38

x = 38 - 32

x = 6

Vậy x = 6

a) [ (x + 32 ) - 17 ] * 2 = 42

[ (x + 32 ) - 17 ] = 42 : 2

 (x + 32 ) - 17  = 21

 (x + 32 )  = 21 + 17 

 x + 32     = 38

x = 38 - 32

x = 6 

15x+364= 41x

41x - 15x = 364

26x = 364 

X= 364 : 26 

X = 14

Tk cho mình nha yêu nhiều! Chúc bạn học tốt!

    ( 15x + 364 ) : x = 697 : 17

<=> ( 15x + 364 ) : x  = 41

<=>      15x  + 364  = 41x

<=>            364        = 26x

<=>            x             = 364 : 26

<=>             x            = 14 

    Vậy x = 14

                 ~ Hok tốt ~

a)

\(512-\left(128-5x\right)=3x+12\\ 512-128+5x=3x+12\\ 384+5x=3x+12\\ 5x-3x=12-384\\ 2x=-372\\ x=\left(-372\right):2\\ x=-186\)

b)

\(\left(2x-1\right)+\left(4x-2\right)+...+\left(400x-200\right)=5+10+...+1000\\ \left(2x+4x+...+400x\right)-\left(1+2+...+200\right)=5+10+...+1000\\ x\left(2+4+...+400\right)=\left(5+10+...+1000\right)+\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=5\cdot\left(1+2+...+200\right)+1\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=\left(5+1\right)\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=6\cdot\left(1+2+...+200\right)\\ \Rightarrow2x=6\\ x=6:2\\ x=3\)

c)

\(\left(x+2\right)+\left(4x+4\right)+\left(7x+6\right)+...+\left(25x+18\right)+\left(28x+20\right)=1560\\ \left(x+4x+7x+...+25x+28x\right)+\left(2+4+6+...+18+20\right)=1560\\ x\left(1+4+7+...+25+28\right)+110=1560\\ 145x+110=1560\\ 145x=1560-110\\ 145x=1450\\ x=1450:145\\ x=10\)

d)

\(x+4x+5x+9x+14x+...+97x=500\\ x\left(1+4+5+9+14+...+97\right)=500\)

Dãy số trong ngoặc có quy luật: Số thứ \(n\) bằng số thứ \(n-1\) cộng số thứ \(n-2\)

Suy ra dãy số đó là: \(1+4+5+9+14+23+37+60+97=250\)

Thế vào ta được:

\(250x=500\\ x=500:250\\ x=2\)

e)

\(720-\left[41-\left(2x-5\right)\right]=2^3\cdot5\\ 720-41+\left(2x-5\right)=8\cdot5\\ 720-41+2x-5=40\\ \left(720-41-5\right)+2x=40\\ 674+2x=40\\ 2x=40-674\\ 2x=-634\\ x=\left(-634\right):2\\ x=-317\)

f)

\(697:\dfrac{15x+364}{x}=17\\ \dfrac{15x+364}{x}=697:17\\ \dfrac{15x+364}{x}=41\\ \dfrac{15x+364}{x}\cdot x=41x\\ 15x+364=41x\\ 364=41x-15x\\ 364=26x\\ x=364:26\\ x=14\)

697:(15x+364):x=17

=> 15+360:x = 697:17=41

=> 360:x=41-15=26

=> x=360:26=180/13

92.4-27=(x+350):x+315

=> 1+350:x+315=341

=> 350:x = 341 -316=25

-> x=350:25=14

720:(41-(2x-51)=2³.5

=> 41-(2x-51)= 720 :40=18

=> 2x=41-18+51=74

=> x=74:2=37

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

=>(x+x+...+x) +(1+2+3+..+99+100)=5750

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

=>100.x= 5750-5050=700

=> x=700:100=7

( L-i-k-e )

697 : (15x + 364) : x = 17

=> 15 + 360 : x = 697 : 17 = 41

=> 360 : x = 41 - 15 = 26

=> x = 360 : 26 = 180/13

92.4 - 27 = (x + 350) : x + 315

=> 1 + 350 : x + 315 = 341

=> 350 : x = 341 - 316 = 25

-> x = 350: 25 = 14

720 : (41 - (2 x - 51) = 2³.5

=> 41 - (2 x -51) = 720 : 40 = 18

=> 2x = 41 - 18 + 51 = 74

=> x = 74 : 2 = 37

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

=>(x + x +...+ x) +(1 + 2 + 3 +...+ 99 + 100) = 5750

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

=>100.x = 5750 - 5050 = 700

=> x = 700 : 100 = 7