tìm x, biết
a ) \(( 11/ 12 + 11/ 12.13 + 11/ 23.24 +...+11/ 89.100 ) + x= 5/2\)
b) \(1/ 3+ 1/ 6 + 1/ 10 +...+ 2/ x(x+1) = 199/ 2001\)
giúp mik với mik cần gấp lắm
Tìm x, biết:
a) ( \(\frac{11}{1.2}\)+ \(\frac{11}{12.13}\)+\(\frac{11}{23.24}\)+....+ \(\frac{11}{89.100}\)) + x = \(\frac{5}{3}\)
Các bn giúp mik với nếu đề sai thì sửa giùm mik nhé
\(\left(\frac{11}{1.12}+\frac{11}{12.23}+...+\frac{11}{89.100}\right)+x=\frac{5}{3}\)
\(\Leftrightarrow\left(\frac{1}{1}-\frac{1}{12}+\frac{1}{12}-\frac{1}{23}+...+\frac{1}{89}-\frac{1}{100}\right)+x=\frac{5}{3}\)
\(\Leftrightarrow\left(1-\frac{1}{100}\right)+x=\frac{5}{3}\Leftrightarrow\frac{99}{100}+x=\frac{5}{3}\Leftrightarrow x=\frac{5}{3}-\frac{99}{100}\)
\(\Leftrightarrow x=\frac{297}{300}=\frac{ }{100}\)
tìm x biết:
a, (11/12+11/12.23+11/23.24+...+11/89.100)+x=2/3
b, (2/11.13+2/13.15)+...+2/19.21)-x+221/231=4/3
Giúp mk nha ai giải đc mk tick cho nhé!
Tìm x:
A)11/12+11/12.23+11/23.24+....+11/89.100+x=2/3
B)2/11.13+2/13.15+...+2/19.21-x+221/223=4/3
Mình nghĩ câu A phải là 11/23.34 mới đúng.
Theo đề mới: A)
11/12 = 11/1.12
Vậy A = 11/1.12 + 11/12.23 + ... + 11/89.100
= 1 - 1/12 + 1/12 - 1/23 + .... + 1/89 - 1/100
= 99/1000
Vậy x là: 2/3 - 99/100 = -97/300
B) 2/11.13 + ... + 2/19.21 = 1/11 - 1/13 + .... + 1/19 - 1/21 = 10/231
=> 10/231 - x = 4/3 - 221/223 = 229/669
=> x = 10/231 - 229/669
=> x = 6690/154539 - 52899/154539
=> x = -46209/154539 = -15403/51513
1. Tìm x , biết
\(\dfrac{11}{12}+\dfrac{11}{12.13}+\dfrac{11}{23.24}+....+\dfrac{11}{59.100}+x=\dfrac{5}{3}\)
Đề sai chỗ \(\dfrac{11}{12.23}\) nha mấy bạn mk nghi nhầm
tim x biet : (11/12+11/12.23+11/23.24+...+11/89.100) + x = 2/3
. Tìm x, biết :
a) ( 11/12 + 11/12.23 + 11/23.24 + ... + 11/89.100 ) + x = 2/3
b) ( 2/11.13 + 2/13.15 + ... + 2/19.21 ) - x + 221/231 = 4/3
a.
\(\left(\frac{11}{12}+\frac{11}{12\times23}+\frac{11}{23\times34}+...+\frac{11}{89\times100}\right)+x=\frac{2}{3}\)
\(\left(\frac{11}{12}+\frac{1}{12}-\frac{1}{23}+\frac{1}{23}-\frac{1}{34}+...+\frac{1}{89}-\frac{1}{100}\right)+x=\frac{2}{3}\)
\(\left(\frac{11}{12}+\frac{1}{12}-\frac{1}{100}\right)+x=\frac{2}{3}\)
\(\left(\frac{12}{12}-\frac{1}{100}\right)+x=\frac{2}{3}\)
\(\left(1-\frac{1}{100}\right)+x=\frac{2}{3}\)
\(\left(\frac{100-1}{100}\right)+x=\frac{2}{3}\)
\(\frac{99}{100}+x=\frac{2}{3}\)
\(x=\frac{2}{3}-\frac{99}{100}\)
\(x=\frac{200-297}{300}\)
\(x=-\frac{97}{300}\)
b.
\(\left(\frac{2}{11\times13}+\frac{2}{13\times15}+...+\frac{2}{19\times21}\right)-x+\frac{221}{231}=\frac{4}{3}\)
\(\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{19}-\frac{1}{21}\right)+\frac{221}{231}-x=\frac{4}{3}\)
\(\left(\frac{1}{11}-\frac{1}{21}\right)+\frac{221}{231}-x=\frac{4}{3}\)
\(\left(\frac{21-11}{231}\right)+\frac{221}{231}-x=\frac{4}{3}\)
\(\frac{10}{231}+\frac{221}{231}-x=\frac{4}{3}\)
\(\frac{231}{231}-x=\frac{4}{3}\)
\(1-x=\frac{4}{3}\)
\(x=1-\frac{4}{3}\)
\(x=\frac{3-4}{3}\)
\(x=-\frac{1}{3}\)
Chúc bạn học tốt
tìm x, biết
a, \(\left(\frac{11}{12}+\frac{11}{12.23}+\frac{11}{23.24}+...+\frac{11}{89.100}\right)+x=\frac{5}{3}\)
b, \(\left(\frac{2}{11.13}+\frac{2}{13.15}+...+\frac{2}{19.21}\right)-x+4+\frac{221}{231}=\frac{7}{3}\)
Bài 1:Tìm các số nguyên x để:
a. 18/17+ 5/17< x/17<6/17+9/17
b.1/3+3/35< x/210< 4/7+ 3/5+ 1/3
Bài 2: Tìm x biết ( 11/12+ 11/12.23+11/23.24+...+11/89.100)+ x=5/3
Bài 3: Tìm số nguyên n để biểu thức sau có giá trị là số nguyên: 4/n-1+ 6/n-1-3/n-1
Bài 4:Tính tổng:
a. 1/1.2+ 1/2.3+ 1/3.4+...+1/98.99+ 1/99.100 ; b. 3/2.5+ 3/5.8+ ...+ 3/17.20
Bài 5: Tìm số nguyên x biết
a. x: 3\(\frac{1}{15}\)= 1\(\frac{1}{2}\); b.x. 15/28= 3/20; 5\(\frac{4}{7}\): x =13
tính bằng cách thuận tiện nhất:
a.14/15 + 2/11 + 1/15 + 4/11 + 10/22 b.74 x 43 - 43 + 27 x 43
giúp mik đang cần gấp lắm
a. $\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}$
$=(\dfrac{14}{15}+dfrac{1}{15})+(\dfrac{2}{11}+\dfrac{4}{11}+\dfrac{10}{22})$
$=1+1=2$
b. $74\times43-43+27\times43$
$=(74-1+27)\times43$
$=100\times43=4300$
\(a)\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}\)
\(=\left(\dfrac{14}{15}+\dfrac{1}{15}\right)+\dfrac{2}{11}+\dfrac{4}{11}+\dfrac{5}{11}\)
\(=1+1=2\)
\(b)74\times43-43+27\times43\)
\(=43\times\left(74-1+27\right)\)
\(=43\times100=4300\)
a) \(\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}\)
= \(\left(\dfrac{14}{15}+\dfrac{1}{15}\right)+\left(\dfrac{2}{11}+\dfrac{4}{11}\right)+\dfrac{5}{11}\)
= \(1+\dfrac{6}{11}+\dfrac{5}{11}\)
= 2
b) 74 x 43 - 43 + 27 x 43
= 74 x 43 - 43 x 1 + 27 x 43
= 43 x ( 74 - 1 + 27 )
= 43 x 100
= 4300