2.4:{-1/2-x}= 1 phần 3/5
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\(\frac{3}{2}.\frac{4}{5}-x=\frac{2}{3}\)
\(\frac{6}{5}-x=\frac{2}{3}\)
\(x=\frac{6}{5}-\frac{2}{3}\)
\(x=\frac{18}{15}-\frac{10}{15}\)
\(x=\frac{8}{15}\)
\(\frac{3}{2}\times\frac{4}{5}-x=\frac{2}{3}\)
\(\frac{12}{10}-x=\frac{2}{3}\)
\(\frac{6}{5}-x=\frac{2}{3}\)
\(x=\frac{6}{5}-\frac{2}{3}\)
\(x=\frac{18}{15}-\frac{10}{15}\)
\(x=\frac{8}{15}\)
\(x\times3\frac{1}{3}=\frac{3}{3}:4\frac{1}{4}\)
\(x\times\frac{10}{3}=1:\frac{17}{4}\)
\(x\times\frac{10}{3}=1.\frac{4}{17}\)
\(x\times\frac{10}{3}=\frac{4}{17}\)
\(x=\frac{4}{17}:\frac{10}{3}\)
\(x=\frac{4}{17}\times\frac{3}{10}\)
\(x=\frac{6}{85}\)
\(\left(1+\frac{1}{1.3}\right)\left(1+\frac{1}{2.4}\right).....\left(1+\frac{1}{99.101}\right)\)
\(=\frac{2.2}{1.3}\frac{3.3}{2.4}.....\frac{100.100}{99.101}\)
\(=\frac{\left(2.3.4.....100\right).\left(2.3.4.....100\right)}{\left(1.2.3.....99\right).\left(3.4.5.....101\right)}\)
\(=\frac{100.2}{101}=\frac{200}{101}\)
\(\frac{\left(x-3\right)\left(x+5\right)}{\left(x-2\right)^2}< 0\)
\(\Rightarrow\frac{\left(x-3\right)\left(x+5\right)}{\left(x-2\right).\left(x-2\right)}< 0\)
=> ( x - 3 ) . ( x - 5 ) và ( x - 2 ) . ( x - 2 ) trái dấu
Mà ( x - 2 )2 = ( x - 2 ) . ( x - 2 ) ≥ 0 ∀ x
\(\Rightarrow\hept{\begin{cases}\left(x−3\right).\left(x+5\right)< 0\\\left(x−2\right).\left(x−2\right)>0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x< −5;−5< x< 3\\x>2\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x< −5\\2< x< 3\end{cases}}\)
=1,4 x\(\dfrac{15}{49}-\) \(\left(\dfrac{4}{5}+\dfrac{2}{3}\right)\) : 2\(\dfrac{1}{5}\)
= \(\dfrac{3}{7}\) - \(\dfrac{22}{15}\) : \(\dfrac{11}{5}\)
= \(\dfrac{3}{7}\) - \(\dfrac{2}{3}\)
= \(-\dfrac{5}{21}\)
( 2\(\dfrac{1}{5}\) + \(\dfrac{3}{5}\) \(\times\) \(x\)) = \(\dfrac{3}{4}\)
\(\dfrac{11}{5}\) + \(\dfrac{3}{5}\)\(x\) = \(\dfrac{3}{4}\)
\(\dfrac{3}{5}\)\(x\) = \(\dfrac{3}{4}\) - \(\dfrac{11}{5}\)
\(\dfrac{3}{5}\)\(x\) = - \(\dfrac{29}{20}\)
\(x\) = -\(\dfrac{29}{12}\)
\(2.4:\left(\frac{-1}{2}-x\right)=\frac{1}{\frac{3}{5}}\)
\(8:\left(\frac{-1}{2}-x\right)=\frac{5}{3}\)
\(\frac{-1}{2}-x=8:\frac{5}{3}\)
\(\frac{-1}{2}-x=\frac{24}{5}\)
\(x=\frac{-1}{2}-\frac{24}{5}\)
\(x=\frac{-53}{10}\)
mk ghi đề bài như trên có đúng ko bn! nếu ko đúng, nhớ ns vs mk nha! để mk sửa lại!
Mk viết nhầm 2,4 nha bạn