Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{x\left(x+2\right)}=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+2}\right)=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{x+2}=\frac{11}{75}:\frac{1}{2}=\frac{22}{75}\Leftrightarrow\frac{1}{x+2}=\frac{1}{25}\Leftrightarrow x=23\)
Bài làm
\(\frac{1}{2}.\frac{x+3}{5}.\left(x-2\right)=3\)
Bài làm
xl, vừa r bấm nhầm.
\(\frac{1}{2}.\frac{x+3}{5}.\left(x-2\right)=3\)
\(\frac{x+3}{10}.\left(x-2\right)=3\)
\(\frac{x^2-2x+3x-6}{10}=3\)
\(x^2-2x+3x-6=3.10\)
\(x^2+x-6=30\)
\(x^2+x-36=0\)
5 x (nhân) (x + 3) - 17 = 23
= 5 x ( x + 3 ) = 23 + 17 = 40
= x + 3 = 40 : 5 = 8
x = 8 : 3
x = 2,6666.....
\(5\times(x+3)-17=23\)
\(\Rightarrow5\times(x+3)=23+17\)
\(\Rightarrow5\times(x+3)=40\)
\(\Rightarrow x+3=40\div5\)
\(\Rightarrow x+3=8\)
\(\Rightarrow x=8-3\)
\(\Rightarrow x=5\)
\(\frac{1}{3}+\frac{2}{5}\left(x+1\right)=1\)
\(\Leftrightarrow\frac{2}{5}\left(x+1\right)=\frac{2}{3}\)
\(\Leftrightarrow x+1=\frac{5}{3}\)
\(\Leftrightarrow x=\frac{2}{3}\)
\(\frac{1}{3}+\frac{2}{5}.\left(x+1\right)=1\)
\(\frac{2}{5}.\left(x+1\right)=1-\frac{1}{3}\)
\(\frac{2}{5}.\left(x+1\right)=\frac{2}{3}\)
\(x+1=\frac{2}{3}:\frac{2}{5}\)
\(x+1=\frac{5}{3}\)
\(x=\frac{5}{3}-1\)
\(x=\frac{2}{3}\)