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\(b,\left(\sqrt{1\frac{9}{16}-\sqrt{\frac{9}{16}}}\right):5\)
\(=\left(\sqrt{\frac{25}{16}-\frac{3}{4}}\right):5\)
\(=\sqrt{\frac{13}{16}}:5\)
\(=\frac{\sqrt{13}}{4}:5\)
\(=\frac{\sqrt{13}}{20}\)
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\(\sqrt{\frac{25}{4}}+\left(\sqrt{\frac{1}{2}}\right)^2:\left(\frac{-\sqrt{9}}{4}\right).\sqrt{\frac{16}{81}}-4^2-\left(-2\right)^3\)
\(=\frac{5}{2}+\frac{1}{2}:\frac{-3}{4}.\frac{4}{9}-16+8\)
\(=\frac{5}{2}-\frac{8}{27}-8\)
\(=\frac{-313}{54}\)
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a) \(\frac{1}{4}+\frac{1}{3}:2x=-5\)
\(\frac{1}{3}:2x=\frac{-21}{4}\)
\(2x=\frac{-4}{63}\)
\(x=\frac{2}{63}\)
b) \(\left(3x-\frac{1}{4}\right)\left(x+\frac{1}{2}\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3x-\frac{1}{4}=0\\x+\frac{1}{2}=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{12}\\x=\frac{-1}{2}\end{cases}}\)
Vậy.........
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\(A=\frac{15}{34}+\frac{7}{21}+\frac{9}{34}-1\frac{15}{17}+\frac{2}{3}=\frac{15}{34}+\frac{7}{21}+\frac{9}{34}-\frac{64}{34}+\frac{14}{21}=\left(\frac{15}{34}+\frac{9}{34}-\frac{64}{34}\right)+\left(\frac{7}{21}+\frac{14}{21}\right)=\frac{30}{34}+\frac{21}{21}=\frac{15}{17}+1=\frac{32}{17}\)
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\(\left|x+\frac{1}{2}\right|-\frac{2}{3}=\sqrt{\frac{16}{9}}\)
\(\left|x+\frac{1}{2}\right|-\frac{2}{3}=\frac{4}{3}\)
\(\left|x+\frac{1}{2}\right|=\frac{4}{3}+\frac{2}{3}\)
\(\left|x+\frac{1}{2}\right|=2\)
TH1: \(x+\frac{1}{2}=2\)
\(x=2-\frac{1}{2}\)
\(x=\frac{3}{2}\)
TH2: \(x+\frac{1}{2}=-2\)
\(x=-2-\frac{1}{2}\)
\(x=\frac{-5}{2}\)
KL: x =3/2 hoặc x= -5/2
\(\left|x+\frac{1}{2}\right|-\frac{2}{3}=\sqrt{\frac{16}{9}}\)
\(\Leftrightarrow\left|x+\frac{1}{2}\right|-\frac{2}{3}=\frac{4}{3}\)
\(\Leftrightarrow\left|x+\frac{1}{2}\right|=\frac{8}{3}\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{1}{2}=\frac{8}{3}\\x+\frac{1}{2}=-\frac{8}{3}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{13}{6}\\x=-\frac{19}{6}\end{cases}}\)
vậy.....
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\(\frac{3}{4}+\frac{1}{4}:\left(-\frac{2}{3}\right)-\left(-5\right)\)
\(=\frac{3}{4}+\frac{1}{4}.\left(-\frac{3}{2}\right)+5\)
\(=\frac{3}{4}-\frac{3}{8}+5\)
\(=\frac{3}{8}+5=\frac{43}{8}\)
\(12.\left(\frac{2}{5}-\frac{5}{6}\right)^2=12.\left(-\frac{13}{30}\right)^2=12.\frac{169}{900}=\frac{169}{75}\)
\(\left(-2\right)^2+\sqrt{36}-\sqrt{9}+\sqrt{25}=4+6-3+5=12\)
\(\left(9\frac{3}{4}:3.4.2\frac{7}{34}\right):\left(-1\frac{9}{16}\right)=\left(\frac{39}{4}:3.4.\frac{75}{34}\right):\left(-\frac{25}{16}\right)=\frac{975}{34}.\left(-\frac{16}{25}\right)=-\frac{312}{17}\)
\(\frac{\sqrt{3^2}+\sqrt{39^2}}{\sqrt{91^2}-\sqrt{\left(-7\right)^2}}=\frac{3+39}{91-7}=\frac{42}{84}=\frac{1}{2}\)