1/ =>[ (10 - x) . 2 + 5 ] : 3 = 5

=> (10 - x) .2 + 5 = 15

=> (10 - x) . 2 = 10

=> 10 - x = 5

=> x = 5

2/ => (15x + 364) : x = 41

=> 15x + 364 = 41x

=> 26x = 364

=> 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

[(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 

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

\(\left|x\right|=1+2+3+...+2010\)

\(\left|x\right|=\frac{\left(2010+1\right).2010}{2}\)

\(\left|x\right|=2011.1005\)

\(\left|x\right|=2021055\)

\(x=\pm2021055\)

\(2^x=2+4+6+...+2010\)

\(2^x=\frac{\left(2010+2\right).1005}{2}\)

\(2^x=1006.1005\)

\(x=\frac{log\left(1011030\right)}{log\left(2\right)}\)(Nguồn: wolframalpha)

\(697\div15a+\frac{364}{a}=17\)

\(\frac{697}{15a}+\frac{5460}{15a}=17\)

\(6157=17.15a\)

\(6197=255a\)

\(a=\frac{6197}{255}\)

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

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

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

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

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

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

15x+364=41x

364=41x-15x=26x

x=364: 26=14

a: B=(1+2-3-4)+(5+6-7-8)+...+(109+110-111-112)+227

=(-4)+(-4)+...+(-4)+227

=-112+227=115

b: =>(15x+364):x=41

=>15x+364=41x

=>-26x=-364

=>x=14