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\(\frac{1}{3}\times\frac{5}{7}-\frac{7}{27}\times\frac{36}{14}\)\(=\frac{1\times5}{3\times7}-\frac{7\times36}{27\times14}\)\(=\frac{5}{21}-\frac{252}{378}=\frac{5}{21}-\frac{2}{3}=\frac{5}{21}-\frac{14}{21}\)\(=\frac{5-14}{21}=\frac{-9}{21}=\frac{-3}{7}\)
\(\frac{1}{3}.\frac{5}{7}-\frac{7}{27}.\frac{36}{14}=\frac{5}{21}-\frac{2}{3}=-\frac{9}{21}=-\frac{3}{7}\)
c, 18/-5 . -15/20
= 18.(-15)/(-5).20
= 270/100 = 27/10
d, 115/30 : - 5/6
= 115/30 . 6/-5
= 115.6/30.(-5)
= 690/-15
= -46
HỌC TỐT!
\(\dfrac{x+2}{-4}=-\dfrac{9}{x+2}\\ \Rightarrow\left(x+2\right)^2=\left(-4\right).\left(-9\right)\\ \Rightarrow\left(x+2\right)^2=36\\ \Rightarrow\left(x+2\right)^2=\pm6^2\\ \Rightarrow\left[{}\begin{matrix}x+2=6\\x+2=-6\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=4\\x=-8\end{matrix}\right.\)
a, \(\left|x-3\right|-2\left(-4\right)=\left(-7\right)\left(-12\right)\)
\(\Leftrightarrow\left|x-3\right|+8=84\Leftrightarrow\left|x-3\right|=76\Leftrightarrow x-3=\pm76\)
TH1 : \(x-3=76\Leftrightarrow x=79\)
TH2 : \(x-3=-76\Leftrightarrow x=-73\)
b, \(\left|x+2\right|+3=3^3=27\Leftrightarrow\left|x+2\right|=24\Leftrightarrow x+2=\pm24\)
TH1 : \(x+2=24\Leftrightarrow x=22\)
TH2 : \(x+2=-24\Leftrightarrow x=-26\)
dạng toán này mik kém lắm nên các bn đừng là tắt, mik ko hỉu đc:<
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\(a,\dfrac{-2}{5}+\dfrac{4}{5}x=\dfrac{3}{5}\)
\(\Rightarrow\dfrac{4x-2}{5}=\dfrac{3}{5}\)
\(\Rightarrow4x-2=3\)
\(\Rightarrow4x=5\)
\(\Rightarrow x=\dfrac{5}{4}\)
\(b,\dfrac{-3}{7}-\dfrac{4}{7}:x=-2\)
\(\Rightarrow\dfrac{-4}{7x}=\dfrac{-11}{7}\)
\(\Rightarrow7x=\dfrac{-4.7}{-11}\)
\(\Rightarrow7x=\dfrac{28}{11}\)
\(\Rightarrow x=\dfrac{4}{11}\)
\(45:\frac{2}{\frac{4}{7}}-1,25=45:\left(2.\frac{7}{4}\right)-1,25=45:\frac{7}{2}-\frac{5}{4}=45.\frac{2}{7}-\frac{5}{4}=\frac{90}{7}-\frac{5}{4}=\frac{325}{28}\)