32 x 5 - 22 x 7 + 83
Rút gọn biểu thức: a) 2x + (-461) - (231 - 461); b) ( -83 - x + 45) + 83 c) 211- (123 - x) + (123 - 211); d) 25- ( 125 - x + 32) + 22
Tìm x ϵ N biết :
a) 280 – ( x – 140 ) : 35 = 270 ;
b)( 190 – 2x ) : 35 – 32 = 16;
c) 720 : [ 41 – ( 2x – 5 ) ] = 23 .5
d) ( x : 23 + 45 ) . 37 – 22 = 24 . 105 ;
e) ( 3x – 4 ) . ( x – 1 ) 3 = 0 ;
f) 22x-1 : 4 = 83
g) x17 = x ;
h) ( x – 5 ) 4 = ( x – 5 ) 6 ;
i) ( x + 2 ) 5 = 210 ;
k ) 1 + 2 + 3 + … + x = 78
l) ( 3 .x – 24) . 73 = 2 .74 ;
n) 5x : 52 = 125 ;
m) ( x + 1) 2 = ( x + 1) 0 ;
o) ( 2 + x ) + ( 4 + x ) + ( 6 + x ) + ……+ ( 52 + x ) = 780 ;
p) 70⋮ x , 80 ⋮ x và x > 8
q) x ⋮ 12 , x ⋮ 25 , x ⋮ 30 và 0 < x < 500
Bài 1 : Rút gọn biểu thức :
a) 2x + (- 461) - ( 231 - 461 )
b) ( - 83 - x + 45) + 83
c) 211 - (123 - x ) + ( 123 - 211)
d) 25 - ( 125 - x +32) + 22
Chứng minh rằng:
A = 1/3 + 1/32 + 1/33 + ..........+ 1/399 < 1/2
B = 3/12x 22 + 5/22 x 32 + 7/32 x 42 +............+ 19/92 x 102 < 1
C = 1/3 + 2/32 + 3/33 + 4/34 +.........+ 100/3100 ≤ 0
\(A=\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{99}}\)
\(\Rightarrow\dfrac{A}{3}=\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\)
\(\Rightarrow A-\dfrac{A}{3}=\dfrac{2A}{3}=\left(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{99}}\right)-\left(\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\dfrac{2A}{3}=\left(\dfrac{1}{3^2}-\dfrac{1}{3^2}\right)+\left(\dfrac{1}{3^3}-\dfrac{1}{3^3}\right)+...+\left(\dfrac{1}{3^{99}}-\dfrac{1}{3^{99}}\right)+\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)=\dfrac{1}{3}-\dfrac{1}{3^{100}}\)
\(\Rightarrow2A=3\cdot\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\text{A}=\dfrac{1-\dfrac{1}{3^{99}}}{2}\)
\(\Rightarrow A=\dfrac{1}{2}-\dfrac{1}{2.3^{99}}< \dfrac{1}{2}\)
(2x-10)-(32-3x)-(-x-5)+(-x+7)=-22
a) x+32=5
x=5-32
x=-27
b)x-4=-7
x=-7+4
x=-3
c) 10-(x+12)=5-(22-30)
10-x-12=5-22+30
-2-x=13
x=-2-13
=-15
#H
Bài 1 : Rút gọn biểu thức :
a) 2x + (-461) - ( 231 - 461 )
b) ( - 83 - x + 45) + 83
c) 211 - (123 - x ) + ( 123 - 211)
d) 25 - ( 125 - x +32) + 22
giúp em ạ đừng làm tắt ạ ai ko làm tắt em tick ạ;-;
các pro giúp em vớiiiiiiiiii ;-;
(18 x 32 + 43 x 18 + 18 x 26 - 18) : ( 1 + 4 + 7 + 10 + .......+ 94 + 97 + 100 + 83)
Đặt A=18 * 32 + 43 * 18 + 18 * 26 - 18
=18*(32+43+26-1)
=18*100
=1800
Đặt B=1 + 4 + 7 + 10 + .......+ 94 + 97 + 100
Tổng B có số số hạng là:
(100-1):3+1=34 (số)
tổng B là:
(100+1)*34:2=1717
Thay vào ta có \(\frac{A}{B}=\frac{1800}{1717}\)
=[18.(32+43+26-1)]:(1+4+7+10+...+94+97+100)
=[18.100]:[(100-1):3+1]
=1800:[(1+100).34:2]
=1800:1717
=1800/1717
18
Tìm x, biết:
a) 210 – 5.x = 200;
b) 210 : x – 10 = 20;
c) 210 – 5.( x – 10) =200;
d) (2x + l):7 = 22+32;
e) 450:[41–(2x–5)] = 32.5;
f) (5x – 39).7 + 3 = 80.
a) x = 2
b) x = 7.
c) x = 12
d) x = 45
e) x = 18.
f) x = 10