tìm x :
x . (1/3 + 1/6 + 1/10 + …+ 1/45) = 88
Tính
A= 1/10-1/40-1/88-1/154-1/238-1/340
Tìm x,y thuộc Z biết:
a/ |x-2001|+|2002-y|=1
b/ 3^x+1 . 5^y= 45^x
Giúp mình nhé ^ ^
Ta có A = 1/2×5 -1/5×8 -1/8×11 -1/11×14 -1/14×17 -1/17*20
=>A3= 3/2×5 -3/5×8 -3/8×11 -3/11×14 -3/14×17 -3/17×20
=>A3= 1/2 -1/5 -1/5 +1/8 -1/8 +1/11 -1/11+1/14 -1/14 +1/17 -1/17 +1/20
=>A3= 1/2 -1/5-1/5+1/20
=>A3= 10/20 -4/20 -4/20 +1/20= 3/20
=>A=3/20:3
=> A =1/20
Có j ko hiu hỏi mk nha
Mk lm câu b trc nha
3 mũ x+1 . 5 mũ y = 3 mũ 2x . 5 mũ x
=> 3 mũ x+1= 3 mũ 2x và 5 mũ y = 5 mũ x
=> x+1=2x và x=y
Từ x+1 =2x => 2x-x=1 => x=1
Mà x= y=>x=y=1
Vậy..
\(\dfrac{1}{10}+\dfrac{1}{40}+\dfrac{1}{88}+...+\dfrac{1}{\left(x+2\right)\left(x+5\right)}=\dfrac{3}{20}\)
\(\Rightarrow\dfrac{1}{2\cdot5}+\dfrac{1}{5\cdot8}+\dfrac{1}{8\cdot11}+...+\dfrac{1}{\left(x+2\right)\left(x+5\right)}=\dfrac{3}{20}\)
\(\Rightarrow\dfrac{1}{3}\cdot\left(\dfrac{3}{2\cdot5}+\dfrac{3}{5\cdot8}+...+\dfrac{3}{\left(x+2\right)\left(x+5\right)}\right)=\dfrac{3}{20}\)
\(\Rightarrow\dfrac{3}{2\cdot5}+\dfrac{3}{5\cdot8}+..+\dfrac{3}{\left(x+2\right)\left(x+5\right)}=\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{2}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+...+\dfrac{1}{x+2}-\dfrac{1}{x+5}=\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{2}-\dfrac{1}{x+5}=\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{x+5}=\dfrac{1}{2}-\dfrac{9}{20}\)
\(\Rightarrow\dfrac{1}{x+5}=\dfrac{1}{20}\)
\(\Rightarrow x+5=20\)
\(\Rightarrow x=20-5\)
\(\Rightarrow x=15\)
tìm x, biết :
a) 1/( x+1 ).( x+2 ) + 1/( x+2 ).( x+3 ) + 1/( x+3 ).( x+4 ) + ... + 1/( x+1999).( x+2000) = 1/x+200 = 1/5
b) 2/( x+1 ).( x+3 ) + 3/( x+3 ) .( x+6 ) + 4/( x+6 ).( x+10 ) + ... + 10/( x+45 ).( x+55 ) + 1/ x+55 = 1/6
TÌM X BIẾT:
1/10+1/40+1/88+...+3/(X+2)x(3X+5)
Tìm x:
a: 1/45+1/55+1/66+.....+2/x*(x+1)=1/9
b:1+1/3+1/6+1/10+.....+1/x*(x+1):2=3984/1993
tính:
1 + 3 + 6 + 10 +....+ 45 + 55/ 1 x 10 + 2 x 9 + 3 x 8 +...+ 8 x 3 + 9 x 2 + 10 x 1
TÌM X BIẾT
a,(X+1/4-1/3) CHIA (2+1/6-1/4)=7/46
b,13/45-(13/21+X)7/12=7/10
Tìm số hữu tỉ x biết
a) (x-3)/5=6-(1/3)+[(1/3)*x]
b)[(1/2)*x]-(1/3)-5=[3-2x+7)]/4
c) [(7x)/8]-5x+45=(10/3)*x+1/4
d) [(4-x)/2007]=(7-x/2004)-(9-x/2002)-1
1+1+1+1+1+2+3+4+5+6+7+8+9+10 x 1+1+1+1+1+2+3+4+5+6+7+8+9+10 +1+1+1+1+1+2+3+4+5+6+7+8+9+10 - 10 x 9 - 9 + 45 +46 +47 =