Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{2}{3}+\frac{2}{5}\right|\)
\(\Rightarrow-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{4}{15}\right|\).
\(\Rightarrow-\frac{4}{15}=\pm\left(-\frac{22}{15}x+\frac{1}{3}\right)\)
\(\Rightarrow\orbr{\begin{cases}-\frac{22}{15}x+\frac{1}{3}=-\frac{4}{15}\\-\left(-\frac{22}{15}x+\frac{1}{3}\right)=-\frac{4}{15}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{9}{22}\\x=\frac{1}{22}\end{cases}}\)
༃•๖ۣۜLãσ ๖ۣۜHạ¢ Em bị nhầm dạng toán này rồi. Khi ẩn x ở trong dấu giá trị tuyệt đối mình mới chia hai trường hợp em nhé!
Bài giải:
\(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{4}{15}\right|\)
\(-\frac{22}{15}x+\frac{1}{3}=\frac{4}{15}\)
\(-\frac{22}{15}x=\frac{4}{15}-\frac{1}{3}\)
\(-\frac{22}{15}x=-\frac{1}{15}\)
\(\frac{22x}{15}=\frac{1}{15}\)
\(x=\frac{1}{22}\)
\(\frac{22}{15}x+\frac{1}{3}=\left|\frac{-2}{3}+\frac{1}{5}\right|\)
\(\Leftrightarrow\frac{22}{15}x+\frac{1}{3}=\left|\frac{-7}{15}\right|\)
\(\Leftrightarrow\frac{22}{15}x+\frac{1}{3}=\frac{7}{15}\)
\(\Rightarrow\frac{22}{15}x=\frac{7}{15}-\frac{1}{3}=\frac{2}{15}\)
\(\Rightarrow x=\frac{2}{15}:\frac{22}{15}\)
\(\Rightarrow x=\frac{1}{11}\)
Vậy ....
Ta có: \(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{2}{3}+\frac{1}{5}\right|\)
hay \(-\frac{22}{15}x=\frac{7}{15}-\frac{1}{3}=\frac{2}{15}\)
\(\Leftrightarrow x=\frac{2}{15}:\frac{-22}{15}=\frac{2}{15}\cdot\frac{15}{-22}=\frac{-2}{22}=\frac{-1}{11}\)
Vậy: \(x=\frac{-1}{11}\)
\(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{2}{3}+\frac{1}{5}\right|\)
\(\Rightarrow-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{7}{15}\right|\)
\(\Rightarrow-\frac{22}{15}x+\frac{1}{3}=\frac{7}{15}\)
\(\Rightarrow-\frac{22}{15}x=\frac{7}{15}-\frac{1}{3}\)
\(\Rightarrow-\frac{22}{15}x=\frac{2}{15}\)
\(\Rightarrow x=\frac{2}{15}:\left(-\frac{22}{15}\right)\)
\(\Rightarrow x=-\frac{1}{11}\)
Vậy \(x=-\frac{1}{11}.\)
Chúc bạn học tốt!
a, \(-\frac{22}{15}x+\frac{1}{3}=\left|-\frac{2}{3}+\frac{1}{5}\right|=\left|-\frac{7}{15}\right|=\frac{7}{15}\)
\(\Rightarrow\frac{-22}{15}x=\frac{7}{15}-\frac{1}{3}=\frac{2}{15}\)
\(\Rightarrow x=\frac{2}{15}:\frac{-22}{15}=\frac{2}{15}.\frac{15}{-22}=-\frac{1}{11}\)
\(e,\frac{22}{15}-x=-\frac{8}{27}\)
=> \(x=\frac{22}{15}-\left[-\frac{8}{27}\right]\)
=> \(x=\frac{22}{15}+\frac{8}{27}\)
=> \(x=\frac{198}{135}+\frac{40}{135}=\frac{198+40}{135}=\frac{238}{135}\)
\(g,\left[\frac{2x}{5}-1\right]:\left[-5\right]=\frac{1}{4}\)
=> \(\left[\frac{2x}{5}-\frac{1}{1}\right]=\frac{1}{4}\cdot\left[-5\right]\)
=> \(\left[\frac{2x}{5}-\frac{5}{5}\right]=-\frac{5}{4}\)
=> \(\frac{2x-5}{5}=-\frac{5}{4}\)
=> \(2x-5=-\frac{5}{4}\cdot5=-\frac{25}{4}\)
=> \(2x=-\frac{5}{4}\)
=> \(x=-\frac{5}{8}\)
\(h,-2\frac{1}{4}x+9\frac{1}{4}=20\)
=> \(-\frac{9}{4}x+\frac{37}{4}=20\)
=> \(-\frac{9}{4}x=20-\frac{37}{4}=\frac{43}{4}\)
=> \(x=\frac{43}{4}:\left[-\frac{9}{4}\right]=\frac{43}{4}\cdot\left[-\frac{4}{9}\right]=\frac{43}{1}\cdot\left[-\frac{1}{9}\right]=-\frac{43}{9}\)
\(i,-4\frac{3}{5}\cdot2\frac{4}{23}\le x\le-2\frac{3}{5}:1\frac{6}{15}\)
=> \(-\frac{23}{5}\cdot\frac{50}{23}\le x\le-\frac{13}{5}:\frac{21}{15}\)
=> \(-\frac{1}{1}\cdot\frac{10}{1}\le x\le-\frac{13}{5}\cdot\frac{15}{21}\)
=> \(-10\le x\le-\frac{13}{1}\cdot\frac{3}{21}\)
=> \(-10\le x\le-\frac{13}{1}\cdot\frac{1}{7}\)
=> \(-10\le x\le-\frac{13}{7}\)
Đến đây tìm x
-22/15x + 1/3 = 7/15
-22/15x = 7/15 - 1/3
-22/15x = 2/15
x =2/15 : ( -22/15)
x = -1/11
~ chúc bn học tốt~