Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{1}{a}\)-\(\frac{1}{b}\)=\(\frac{b-a}{ab}\)=\(\frac{2}{143}\)⇒\(\frac{2}{ab}\)=\(\frac{2}{143}\)⇒ab=143
\(\frac{a}{3}\)+\(\frac{1}{6}\)=\(\frac{2a+1}{6}\)=\(\frac{2}{b}\)⇒(2a+1)b=12
2ab+b=12⇒286+b=12⇒b=12-286=-274
a = \(-\frac{143}{274}\)
Đặt \(A=\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}\)
\(\Leftrightarrow A=\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}+\frac{1}{11.13}\)
\(\Leftrightarrow2A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}\)
\(\Leftrightarrow2A=\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+\frac{11-9}{9.11}+\frac{13-11}{11.13}\)
\(\Leftrightarrow2A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}\)
\(\Leftrightarrow2A=\frac{1}{3}-\frac{1}{13}\)
\(\Leftrightarrow2A=\frac{13}{39}-\frac{3}{39}\)
\(\Leftrightarrow2A=\frac{10}{39}\)
\(\Leftrightarrow A=\frac{10}{39}\div2\)
\(\Leftrightarrow A=\frac{20}{39}\)
\(\frac{1}{a}:\frac{1}{b}=\frac{1}{a}\cdot\frac{b}{1}=\frac{b}{a}=\frac{2}{134}\)
bn tự làm tiếp nha
hk tôt
\(\frac{1}{a}:\frac{1}{b}=\frac{1}{a}\cdot\frac{b}{1}=\frac{b}{a}\)
Mà \(\frac{1}{a}:\frac{1}{b}=\frac{2}{134}\)
\(\Rightarrow\frac{b}{a}=\frac{2}{134}\)
\(\Rightarrow\frac{b}{2}=\frac{a}{134}=\frac{b-a}{2-134}=-\frac{2}{\frac{143}{132}}\)
Đến đây làm nốt nhé !
P/S:Cái này lp 7 thì phải
\(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)= \(\frac{2}{15}\)
=>5x=\(5\frac{1}{3}:\frac{2}{5}\)
=>5x=\(\frac{40}{3}\)
=>x=\(\frac{8}{3}\)
\(=\frac{256+255.399}{256.399-143}=\frac{256+255.399}{255.399+399.1-143}=\frac{256+255.399}{255.399+399-143}=\frac{256+255.399}{255.399+256}=1\)
\(a=158692,1211\)