b1 : tìm x
a] [ 1/2x5 + 1/5x8 + 1/8x11 + ......+ 1/65x68 ] x X = 11/68
b] X - [ 12/2x4 + 12/4x6 + 12/ 6x8+...+12/48x50 ] = 1/5
c] X + [ 5/5 + 5/45 + 5/117+ 5/221 + ...+5/1845 ] =2
Tính hợp lý( Nếu có thể)
a,12 và 1/3-(3 và 3/4+4 và 3/4)
b,5/2x1/3+1/4
c,(7/2019+15/34257-1/354)x(13/15+4/7-151/105)
d,(1-1/2)x(1--1/3)x(1-1/4)x.....x(1-1/2018)
e,1+4+7+....+100
g,5/2x5+5/5x8+5/8x11..........+5/2015x2018
h,(457x1234+78695x32325)x(3456x12341234-1234x34563456)
d ( 1-1/2)x(1-1/3)x(1-1/4)x......x(1-1/2018)
= 1/2x2/3x3/4x...x2017/2018
=\(\frac{1x2x3x....x2017}{2x3x4x....x2018}\)
= \(\frac{1}{2018}\)
e , 1+4+7+...+100
= dãy có số số hạng là
(100-1):3+1=34 ( số số hạng)
tổng là : (100+1 ) x 34 : 2 =1717
=>1717
a) 5/6 : 1/12% - 5 % = ... ( số thập phân )
b) 2/2x4 + 2/6x8 + ... 2/188 x 190 = .... ( phân số )
b)\(=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{188}-\frac{1}{190}\)
\(=\frac{1}{2}-\frac{1}{190}\)
\(=\frac{47}{95}\)
A=5/1x6+5/6x11+5/11x16+5/16x21+...+5/101x106
B=3/1x4+3/4x7+3/7x10+....+3/97x100
C=1/2x7+1/7x12+1/12x17+....+1/97x102
D=1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72
E=3/2x4+3/4x6+3/6x8+....+3/98x100
A = \(\dfrac{5}{1.6}\)+\(\dfrac{5}{6.11}\)+\(\dfrac{5}{11.16}\)+\(\dfrac{5}{16.21}\)+...+\(\dfrac{5}{101.106}\)
A = \(\dfrac{1}{1}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+...+\dfrac{1}{101}-\dfrac{1}{106}\)
A = \(\dfrac{1}{1}\) - \(\dfrac{1}{106}\)
A = \(\dfrac{105}{106}\)
B = \(\dfrac{3}{1.4}\) +\(\dfrac{3}{4.7}\)+\(\dfrac{3}{7.10}\)+...+\(\dfrac{3}{97.100}\)
B = \(\dfrac{1}{1}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}-\dfrac{1}{10}+...+\dfrac{1}{97}-\dfrac{1}{100}\)
B = \(\dfrac{1}{1}\) - \(\dfrac{1}{100}\)
B = \(\dfrac{99}{100}\)
C = \(\dfrac{1}{2.7}+\dfrac{1}{7.12}\) + \(\dfrac{1}{12.17}\)+...+ \(\dfrac{1}{97.102}\)
C= \(\dfrac{1}{5}\) \(\times\)( \(\dfrac{5}{2.7}+\dfrac{5}{7.12}+\dfrac{5}{12.17}+...+\dfrac{5}{97.102}\))
C = \(\dfrac{1}{5}\)\(\times\)(\(\dfrac{1}{2}\) - \(\dfrac{1}{7}\) + \(\dfrac{1}{7}\) - \(\dfrac{1}{12}\) + \(\dfrac{1}{12}\) - \(\dfrac{1}{17}\)+...+ \(\dfrac{1}{97}\) - \(\dfrac{1}{102}\))
C = \(\dfrac{1}{5}\) \(\times\)( \(\dfrac{1}{2}\) - \(\dfrac{1}{102}\))
C = \(\dfrac{1}{5}\) \(\times\) \(\dfrac{25}{51}\)
C = \(\dfrac{5}{51}\)
D = \(\dfrac{1}{2}\) + \(\dfrac{1}{6}\) + \(\dfrac{1}{12}\) + \(\dfrac{1}{20}\) + \(\dfrac{1}{30}\) + \(\dfrac{1}{42}\) + \(\dfrac{1}{56}\) + \(\dfrac{1}{72}\)
D = \(\dfrac{1}{1.2}\) + \(\dfrac{1}{2.3}\) + \(\dfrac{1}{3.4}\) + \(\dfrac{1}{4.5}\) + \(\dfrac{1}{5.6}\) + \(\dfrac{1}{6.7}\)+\(\dfrac{1}{7.8}\)+ \(\dfrac{1}{8.9}\)
D = \(\dfrac{1}{1}\) - \(\dfrac{1}{2}\)+\(\dfrac{1}{2}\)-\(\dfrac{1}{3}\)+\(\dfrac{1}{3}\)-\(\dfrac{1}{4}\)+\(\dfrac{1}{4}\)-\(\dfrac{1}{5}\)+\(\dfrac{1}{5}\)-\(\dfrac{1}{6}\)+\(\dfrac{1}{6}\) - \(\dfrac{1}{7}\)+\(\dfrac{1}{7}\)-\(\dfrac{1}{8}\)+\(\dfrac{1}{8}\)-\(\dfrac{1}{9}\)
D = \(\dfrac{1}{1}\) - \(\dfrac{1}{9}\)
D = \(\dfrac{8}{9}\)
E = \(\dfrac{3}{2.4}\)+\(\dfrac{3}{4.6}\)+\(\dfrac{3}{6.8}\)+...+\(\dfrac{3}{98.100}\)
E = \(\dfrac{3}{2}\) \(\times\) ( \(\dfrac{2}{2.4}\) + \(\dfrac{2}{4.6}\)+ \(\dfrac{2}{6.8}\)+...+\(\dfrac{2}{98.100}\))
E = \(\dfrac{3}{2}\)\(\times\)( \(\dfrac{1}{2}\) - \(\dfrac{1}{4}\)+ \(\dfrac{1}{4}\) - \(\dfrac{1}{6}\)+\(\dfrac{1}{6}\)-\(\dfrac{1}{8}\)+...+\(\dfrac{1}{98}\) - \(\dfrac{1}{100}\))
E = \(\dfrac{3}{2}\) \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{100}\))
E = \(\dfrac{3}{2}\) \(\times\) \(\dfrac{49}{100}\)
E = \(\dfrac{147}{200}\)
CM với mọi số tự nhiên khác 0 ta đều có
a) 1/2x5+1/5x8+1/8x11+...+1/(3n-1)x(3n+2)=n/6n+4
b) 5/3x7+5/7x11+5/11x15+...+5/(4n-1)x(4n+3)=5n/4n+3
tìm x
a) (x+1/5)mũ 2 +17/25=26/25
b)-1 5/27 - (3x-7/9)mux3= -24/27
c) -2/7<x/3<11/4
tính nhanh
a)(1999/2011-2011/1999)-(-12/1999-12/2011)
b) 67/111+2/33-15/117).(1/3-1/4-1/12)
Bài 1: Tìm x, biết:
a) 4/3 - 1/3 . x =3
b) 12/5 - ( x + 12/5 ) = 1/3 - 2/5
c) 15/7 + ( x - 1/7 ) = -3
d) 3x/5 . (3x - 1/2) = 0
e) 11/12 - ( 2/5 + x ) = 2/3
bài 1:
a) 1/3x=-5/3
x=-5
b) x+12/5=37/15
x=1/15
c) x-1/7=-36/7
x=-5
d) 3x-1/2=0
3x=1/2
x=1/6
e) 2/5+x=1/4
x=-3/20
Tìm x thuộc Z , biết :
a) 3 ( x - 5 ) - 2 ( x + 1 ) = 1 - ( - 12 )
b) 12 ( x + 3 ) - 10 ( x - 11 ) = 12 - ( x + 5 ) + 2 ( x - 7 )
c) 3x - 5 chia hết cho x + 1
Bài 1 Tìm x,biết
x.3/5=2/3
x.7/17=17/8
3/4 chia x=-7/12
3/8 - 1/6.x=1/4
1/3+1/2 chia x=-4
Bài 2 Tính
-6/11 chia [3/5 . 4/11]
7/12 + 5/12 chia 6 -11/36
[4/5 + 1/2] chia [3/13 - 8/13]
[2/3 - 1/4 + 5/11] chia [5/12 + 1 -7/11]
*Dấu . là dấu nhân nha mn*
Bài 1:
a: \(x=\dfrac{2}{3}:\dfrac{3}{5}=\dfrac{2}{3}\cdot\dfrac{5}{3}=\dfrac{10}{9}\)
b: \(x=\dfrac{17}{8}:\dfrac{7}{17}=\dfrac{17}{8}\cdot\dfrac{17}{7}=\dfrac{289}{56}\)
c: \(x=-\dfrac{3}{4}:\dfrac{7}{12}=\dfrac{-3}{4}\cdot\dfrac{12}{7}=\dfrac{-63}{28}=-\dfrac{9}{4}\)
d: \(\Leftrightarrow x\cdot\dfrac{1}{6}=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{1}{4}\)
hay \(x=\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{3}{2}\)
e: \(\Leftrightarrow\dfrac{1}{2}:x=-4-\dfrac{1}{3}=-\dfrac{17}{3}\)
hay \(x=-\dfrac{1}{2}:\dfrac{17}{3}=\dfrac{-3}{34}\)
Bài 1:
1) 14/12 : (-4,2) - (-5)^2 x 0,2
2? 45 : 2 2/7 + 50% - 1,5
7/12 + 5/12 : 6 - 11/36
1: =7/6:(-21/5)-25*0,2
=-7/6*5/21-5
=-35/126-5
=-5/21-5
=-5/21-105/21=-110/21
3: \(=\dfrac{7}{12}+\dfrac{5}{72}-\dfrac{11}{36}=\dfrac{42+5-22}{72}=\dfrac{25}{72}\)