tìm x biết 1/15+1/21+1/28+...+2/x*(x+1)=3/10
Tìm các số x và y biết
1) 4/x= y/21=28/49. 2) x/2=3/y. 3)42/54=7/x
4) 2/3 =y/15. 5)6/10 = 3/x =y/20
\(\dfrac{4}{x}=\dfrac{y}{21}=\dfrac{28}{49}=\dfrac{28:7}{49:7}=\dfrac{4}{9}\\ Vậy:x=\dfrac{4.9}{4}=9\\ y=\dfrac{4.21}{9}=\dfrac{28}{3}\)
\(\dfrac{x}{2}=\dfrac{3}{y}\\ \Leftrightarrow x.y=2.3=6\\ Vậy:\left[{}\begin{matrix}\left(x;y\right)=\left(1;6\right)=\left(6;1\right)\\\left(x;y\right)=\left(2;3\right)=\left(3;2\right)\end{matrix}\right.\)
\(3,\\ \dfrac{42}{54}=\dfrac{42:6}{54:6}=\dfrac{7}{9}\\ \dfrac{42}{54}=\dfrac{7}{x}=\dfrac{7}{9}\\ Vậy:x=\dfrac{7.9}{7}=9\)
bài 1 Rút gọn B=(1 -1/3).(1 -1/6).(1 -1/10).(1 -1/15)...(1 -1/190)
Bài 2 Tìm x biết
a) 1/21+ 1/28+ 1/36+..+1/x(x+1)=2/9
b)1/5.8 + 1/8.11+ 1/11.14+..+1/x(x+3)=101/1540
tìm x thuộc N biết 1/15+1/21+1/28+.....+2/x(x+1)=806/2015
\(\frac{1}{15}+\frac{1}{21}+...+\frac{2}{x.\left(x+1\right)}=\frac{806}{2015}\)
\(\Rightarrow2.\left(\frac{1}{30}+\frac{1}{42}+...+\frac{1}{x.\left(x+1\right)}\right)=\frac{806}{2015}\)
\(\Rightarrow2.\left(\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{x.\left(x+1\right)}\right)=\frac{806}{2015}\)
\(\Rightarrow2.\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{806}{2015}\)
\(\Rightarrow2.\left(\frac{1}{5}-\frac{1}{x}\right)=\frac{806}{2015}\)
\(\Rightarrow\frac{1}{5}-\frac{1}{x}=\frac{806}{2015}:2\)
\(\Rightarrow\frac{1}{5}-\frac{1}{x}=\frac{403}{2015}\)
\(\Rightarrow\frac{1}{x}=\frac{1}{5}-\frac{403}{2015}\)
\(\Rightarrow\frac{1}{x}=\frac{403}{2015}-\frac{403}{2015}\)
\(\Rightarrow\frac{1}{x}=0\)
\(\Rightarrow x=0\)
Vậy \(x=0\)
Chúc bạn học tốt !!!!
\(\Rightarrow\frac{1}{2}\left(\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+...+\frac{2}{x\left(x+1\right)}\right)=\frac{806}{2015}.\frac{1}{2}\)
\(\Rightarrow\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+...+\frac{1}{x\left(x+1\right)}=\frac{403}{2015}\)
\(\Rightarrow\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+...+\frac{1}{x\left(x+1\right)}=\frac{403}{2015}\)
\(\Rightarrow\frac{6-5}{5.6}+\frac{7-6}{6.7}+\frac{8-7}{7.8}+...+\frac{x+1-x}{x\left(x+1\right)}=\frac{403}{2015}\)
\(\Rightarrow\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{403}{2015}\)
\(\Rightarrow\frac{1}{5}-\frac{1}{x+1}=\frac{403}{2015}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{5}-\frac{403}{2015}\)
rồi bạn tự giải nốt nhé
TÌM X BIẾT :
x/2017-1/10-1/15-1/21-1/28-1/36-1/45-1/55-1/66-1/78-1/91-1/105-1/120=5/8
BẠN NÀO BIẾT THÌ GIÚP MÌNH VỚI !!!!!!!
Bài 1 : Tìm x biết :
x + 4/5.9 + 4/ 9.13 + 4/ 13 .15 + ... + 4/41.45 = -37/45
Bài 2 : x - 20/11.13 - 20/13.15 - ...-20/53.55= 3/11
Bài 3 : Tìm x biết
1/21 + 1/28 + 1/36 + ...+ 2/ x(x+1)=2/9
Tìm x thuộc N biết
a, x- 20/11.13 - 20/13 . 15 - 20/15.17 - ... -20/53.55 - 3 /11
b, 1/21 + 1/28 + 1/36 + ... + 1/x ( x +1 ) = 2/9
tìm x
a, 11/13 -( 5/42 - x) = - (15/28 - 11/13)
b, x +1/3 = 2/5-(-1/3)
c, 2/3 x +5/7 =3/10
d, 3/7-x = 1/4 - (-3/5)
e, -21/13 x + 1/3 = -2/3
11/13-(5/42-x)=(15/28-11/13)
11/13-(5/42-x)=-37/182
(5/42-x)=11/13+37/182
(5/42-x)=191/182
x=5/42-191/182
x=-254/273
vậy x=-254/273
bạn ấn vào chữ M nằm ngang ở dưới câu hỏi khi bạn trả lời là sẽ ấn được phân số nhé
còn gửi câu trả lời cũng tương tự
\(b,x+\frac{1}{3}=\frac{2}{5}-\left(-\frac{1}{3}\right)\)
\(< =>x+\frac{1}{3}=\frac{2}{5}+\frac{1}{3}\)
\(< =>x=\frac{1}{3}-\frac{1}{3}+\frac{2}{5}=\frac{2}{5}\)
\(c,\frac{2}{3}x+\frac{5}{7}=\frac{3}{10}\)
\(< =>\frac{2}{3}x=\frac{3}{10}-\frac{5}{7}=-\frac{29}{70}\)
\(< =>x=\frac{-29}{70}:\frac{2}{3}=-\frac{7}{140}\)
\(d,\frac{3}{7}-x=\frac{1}{4}-\left(-\frac{3}{5}\right)\)
\(< =>\frac{3}{7}-\frac{1}{4}-\frac{3}{5}=x\)
\(< =>x=-\frac{59}{140}\)
\(e,-\frac{21}{12}x+\frac{1}{3}=-\frac{2}{3}\)
\(< =>-\frac{21}{12}x=-\frac{2}{3}-\frac{1}{3}=-1\)
\(< =>x=\frac{12}{21}\)
tìm x biết:1/10+1/15+1/21+...+2/x(x+1)=2010/2012
\(\Leftrightarrow2\left(\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+...+\dfrac{1}{x\left(x+1\right)}\right)=\dfrac{2010}{2012}\)
\(\Leftrightarrow\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-...+\dfrac{1}{x}-\dfrac{1}{x+1}=\dfrac{2010}{4024}=\dfrac{1005}{2012}\)
=>1/x+1=-251/1006
=>x+1=-1006/251
=>x=-1257/251
1 tim cac so nguyen x,y biet x/7=6/21 -5/y=20/28 1/2=x/12 x/8=-28/32 3/y=12/24 3/4=15/y 2 viet 3 phan so bang phan so -10/15