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\(\Leftrightarrow\dfrac{1}{2}\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=1+\dfrac{1989}{1991}\)
\(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{x+1}=\dfrac{7960}{1991}\)
=>1/x+1=-13929/3982
=>x+1=-3982/13929
hay x=-17911/13929
cảm ơn bn vì đã thường xuyên trả lời câu hỏi của mình. Thank you
\(a,\dfrac{-3}{7}-x=\dfrac{8}{9}\\ =>x=-\dfrac{3}{7}-\dfrac{8}{9}\\ =>x=-\dfrac{83}{63}\)
\(b,\left(\dfrac{3}{10}-x\right):\dfrac{2}{5}=\dfrac{3}{5}\\ =>\dfrac{3}{10}-x=\dfrac{3}{5}\text{×}\dfrac{2}{5}=\dfrac{6}{25}\\ =>x=\dfrac{3}{10}-\dfrac{6}{25}=\dfrac{3}{50}\)
a: =>x=-3/7-8/9=-83/63
b: \(\Leftrightarrow\left(\dfrac{3}{10}-x\right)=\dfrac{3}{5}:\dfrac{2}{5}=\dfrac{3}{2}\)
=>x=3/10-3/2=-6/5
c: \(\Leftrightarrow\left(x-\dfrac{1}{2}\right)^2=4\)
=>x-1/2=2 hoặc x-1/2=-2
=>x=5/2 hoặc x=-3/2
d: =>1/8x+1/2=5/2-3/4=10/4-3/4=7/4
=>1/8x=7/4-1/2=5/4
=>x=10
a:
Sửa đề: 19/17-19/49+19/131
\(=\dfrac{19\left(\dfrac{1}{17}-\dfrac{1}{49}-\dfrac{1}{131}\right)}{3\left(\dfrac{1}{17}-\dfrac{1}{49}-\dfrac{1}{131}\right)}=\dfrac{19}{3}\)
b: \(=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2021}}{\left(1+\dfrac{2019}{2}\right)+\left(1+\dfrac{2018}{3}\right)+...+\left(1+\dfrac{1}{2020}\right)+1}\)
\(=\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2021}}{2021\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2021}\right)}=\dfrac{1}{2021}\)
1/4 x ( x-1) = 1/2 - 3/4
1/4 x ( x-1) = -1/4
x - 1 = -1/4 : 1/4
x-1 = -1
x = -1+1
x = 0