x chia 2 +1 phần 8= 8 phần x chia 2 cộng 1
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1/\(\frac{\left(x+1\right)^2}{8}=\frac{8}{\left(x+1\right)^2}\)
=>\(\left(x+1\right)^4=8^2=64\)
=>\(x+1\in\left\{4;-4\right\}\)
=>\(x\in\left\{3;-5\right\}\)
2/ \(x+\frac{3}{4}=\frac{2}{5}\)
=>\(x=\frac{3}{4}-\frac{2}{5}=\frac{7}{20}\)
x + 7/12 = 11/6 : 2/1
x + 7/12 = 11/12
x = 11/12 - 7/12
x = 1/3
1/2 : 0,5 - 1/4 : 0,25 + 1/8 : 0,125 - 1/10 : 0,1
= 1/2 x 2 - 1/4 x 4 + 1/8 x 8 - 1/10 x 10
= 1 - 1 + 1 - 1
= 0
\(\frac{1}{2}\)\(\div\)\(0,5\)\(-\)\(\frac{1}{4}\div0,25\)\(+\)\(\frac{1}{8}\div0,125\)\(-\)\(\frac{1}{10}\div0,1\)
\(=\)\(\frac{1}{2}\)\(\div\)\(\frac{1}{2}\)\(-\)\(\frac{1}{4}\div\frac{1}{4}\)\(+\)\(\frac{1}{8}\div\frac{1}{8}\)\(-\)\(\frac{1}{10}\div\frac{1}{10}\)
\(=\)\(\frac{1}{2}\)\(\times\frac{2}{1}\)\(-\)\(\frac{1}{4}\times\frac{4}{1}\)\(+\)\(\frac{1}{8}\times\frac{8}{1}\)\(-\)\(\frac{1}{10}\times\frac{10}{1}\)
\(=\)\(1-1+1-1\)
\(=\)\(0\)
1,
\(\frac{25}{12}+\left(\frac{-4}{12}\right)=\frac{7}{4}\)
\(\frac{-10}{8}+\frac{15}{4}=\frac{5}{2}\)
\(\frac{3}{8}+\frac{-14}{6}=\frac{-47}{24}\)
\(\frac{350}{150}+\left(\frac{-200}{360}\right)=\frac{16}{9}\)
\([\frac{5}{8}+\left(\frac{-3}{4}\right)]+\frac{15}{6}=\frac{-1}{8}+\frac{15}{6}=\frac{19}{8}\)
\(\frac{7}{3}+[\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)]=\frac{7}{3}+\left(\frac{-3}{2}\right)=\frac{5}{6}\)
a) \(\frac{3}{2}-\frac{5}{6}:x=\frac{5}{15}-\frac{3}{15}\)
\(\Leftrightarrow\frac{3}{2}-\frac{5}{6}:x=\frac{2}{15}\)
\(\Leftrightarrow\frac{5}{6}:x=\frac{3}{2}-\frac{2}{15}\)
\(\Leftrightarrow\frac{5}{6}:x=\frac{41}{30}\)
\(\Leftrightarrow x=\frac{5}{6}:\frac{41}{30}\)
\(\Leftrightarrow x=\frac{25}{41}\)
b) \(x-\frac{6}{7}.\frac{14}{8}=\frac{1}{2}-\frac{2}{5}\)
\(\Leftrightarrow x-\frac{3}{2}=\frac{1}{10}\)
\(\Leftrightarrow x=\frac{1}{10}+\frac{3}{2}\)
\(\Leftrightarrow x=\frac{8}{5}\)
c) \(x:\frac{6}{5}+\frac{2}{3}=\frac{7}{3}\)
\(\Leftrightarrow x:\frac{6}{5}=\frac{7}{3}-\frac{2}{3}\)
\(\Leftrightarrow x:\frac{6}{5}=\frac{5}{3}\)
\(\Leftrightarrow x=\frac{5}{3}.\frac{6}{5}\)
\(\Leftrightarrow x=2\)