\(-\dfrac{3}{6}=\dfrac{x}{2}=-\dfrac{18}{y}\)
Xét \(-\dfrac{3}{6}=\dfrac{x}{2}\)
\(\Rightarrow x=\dfrac{-3.2}{6}=-1\)
Xét \(\dfrac{x}{2}=-\dfrac{18}{y}\)
\(-\dfrac{1}{2}=-\dfrac{18}{y}\)
\(y=\dfrac{-18.2}{-1}=36\)
Tìm x,y \(\in\) Z biết: \(\dfrac{-1}{3}\) < \(\dfrac{A}{36}\) <\(\dfrac{B}{18}\) <\(\dfrac{-1}{4}\) và A= x+1 ; B=2-y
\(\dfrac{x}{6}\)-\(\dfrac{2}{y}\)=\(\dfrac{1}{30}\)
câu 1: tìm x biết: ( \(\dfrac{3}{4.5}\) +\(\dfrac{3}{5.6}\)+\(\dfrac{3}{6.7}\)+\(\dfrac{3}{7.8}\)+\(\dfrac{3}{8.9}\)+\(\dfrac{3}{9.10}\)) . x =\(\dfrac{9}{2}\)
1) Tìm x biết:
\(\left(1-\dfrac{3}{10}-x\right):\left(\dfrac{19}{10}-1-\dfrac{2}{5}\right)+\dfrac{4}{5}=1\)
2) Tính nhanh
a)\(\dfrac{1}{1.2.3}+\dfrac{1}{2.3.4}+\dfrac{1}{3.4.5}+...+\dfrac{1}{10.11.12}\)
b)\(\dfrac{1^2}{1.2}.\dfrac{2^2}{2.3}.\dfrac{3^2}{3.4}.\dfrac{4^2}{4.5}\)
Bài 17 Tìm x biết :
a) \(\dfrac{x}{5}=\dfrac{2}{5}\)
b) \(\dfrac{3}{8}=\dfrac{6}{x}\)
c) \(\dfrac{1}{9}=\dfrac{x}{27}\)
d) \(\dfrac{4}{x}=\dfrac{8}{6}\)
e) \(\dfrac{3}{x-5}=\dfrac{-4}{x+2}\)
g) \(\dfrac{x}{-2}=\dfrac{-8}{x}\)
Tìm x biết
\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{2}{x\left(x+1\right)}=\dfrac{2011}{2013}\)
câu 1 : bội của 18 là:
A.-3
B.3
C.6
D.0
câu 2:ước của -15 là:
A.-4
B.-5
C.-6
D.-7
câu 3: cho x>0.nếu x.y>0 thì :
A.y<0
B. Y=0
C.y>0
D.y_<0
câu 4: \(\dfrac{15}{x}\)= \(\dfrac{-3}{4}\)số x thích hợp là:
A.20
B.-20
C.63
D.57
3 tìm x biết
\(\dfrac{111}{37}< x< \dfrac{91}{13}x\)e Z
b) \(\dfrac{-84}{14}< x< \dfrac{108}{9}\)
4 Tìm x
a ) \(\dfrac{x-1}{9}=\dfrac{8}{3}\)
b) \(\dfrac{-x}{4}=\dfrac{-9}{x}\)
c ) \(\dfrac{x}{4}=\dfrac{18}{x+1}\)
1 .Tìm x biết
a. ( \(\dfrac{1}{1.4}+\dfrac{1}{4.7}+\dfrac{1}{7.10}+...+\dfrac{1}{97.100}\)) = \(\dfrac{0,33x}{2009}\)
b. 1 + \(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{2}{x\left(x+1\right)}=1\dfrac{1991}{1993}\)
c. \(\dfrac{1}{2013}x+1+\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{2012.2013}=2\)
d. 2x + \(\dfrac{7}{6}+\dfrac{13}{12}+\dfrac{21}{20}+\dfrac{31}{30}+\dfrac{43}{42}+\dfrac{57}{56}+\dfrac{73}{72}+\dfrac{91}{90}=10\)
2. Chứng minh rằng :
a. \(\dfrac{1}{4}+\dfrac{1}{4^2}+\dfrac{1}{4^3}+...+\dfrac{1}{4^{99}}< \dfrac{1}{3}\)
b. \(\dfrac{1}{1.2.3}+\dfrac{1}{2.3.4}+...+\dfrac{1}{18.19.20}< \dfrac{1}{4}\)
