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1) = \(\frac{3}{5}\)
2) =\(\frac{6}{7}\)
3)\(\frac{9}{13}\)
4)\(\frac{4}{13}\)
a. -3/4 x 12/-5 x (-25/6)=-15/2
b. -2 x -38/21 x -7/4 x (-3/8)=-19/8
c. (11/12: 33/16) x 3/5=4/15
d. 7/23 x [(-8/6)- 45/18]=-7/6
1) \(\frac{17}{6}-\left(x-\frac{7}{6}\right)=\frac{7}{4}\)
\(\Rightarrow x-\frac{7}{6}=\frac{17}{6}-\frac{7}{4}\)
\(\Rightarrow x=\frac{13}{12}+\frac{7}{6}=\frac{9}{4}\)
2) \(\frac{3}{35}-\left(\frac{3}{5}-x\right)=\frac{2}{7}\)
\(\Rightarrow\)\(\frac{3}{5}-x=\frac{3}{35}-\frac{2}{7}=-\frac{1}{5}\)
\(\Rightarrow x=\frac{3}{5}-\left(-\frac{1}{5}\right)=\frac{4}{5}\)
3) 4) Hjhj^_^^_^
\(\dfrac{3}{7}+\dfrac{1}{2}=\dfrac{-15}{12}x+\dfrac{6}{5}x\)
\(\Leftrightarrow\)\(\dfrac{-15.5+12.6}{60}x=\dfrac{3.2+1.7}{14}\)
\(\Leftrightarrow\)\(\dfrac{-3}{60}x=\dfrac{13}{14}\)
\(\Leftrightarrow\)\(\dfrac{-1}{20}x=\dfrac{13}{14}\)
\(\Leftrightarrow\)x=-\(\dfrac{13}{14}:\dfrac{1}{20}=-\dfrac{13.20}{14}=-\dfrac{130}{7}\)
3(12+x)=7(x-4)
\(\Leftrightarrow\)36+3x=7x-28
\(\Leftrightarrow\)7x-3x=36+28
\(\Leftrightarrow\)4x=64
\(\Leftrightarrow\)x=16
\(-\frac{15}{12}x+\frac{3}{7}=\frac{6}{5}x-\frac{1}{2}\)
\(\frac{15}{12}x+\frac{6}{5}x=\frac{1}{2}+\frac{3}{7}\)
\(\frac{75}{60}x+\frac{72}{60}x=\frac{7}{14}+\frac{6}{14}\)
\(\frac{147}{60}x=\frac{13}{14}\)
\(x=\frac{13}{14}\div\frac{147}{60}\)
\(x=\frac{13}{14}\times\frac{60}{147}\)
\(x=\frac{130}{343}\)
-15/12. x+3/7=6/5.x-1/2
=> -15/12 . x +3/7+1/2 = 6/5 .x
=> -15/12 .x + 13/14= 6/5 .x
=> 49/20 .x = 13/14 => x= 130/343
\(\frac{6}{x^2+2}+\frac{12}{x^2+8}=3-\frac{7}{x^2+3}\)
\(\Leftrightarrow6\left(x^2+8\right)\left(x^3+3\right)+12\left(x^2+2\right)\left(x^2+3\right)=3\left(x^2+2\right)\left(x^2+8\right)\left(x^2+3\right)-7\left(x^2+8\right)\left(x^2+2\right)\)
\(\Leftrightarrow18x^4+126x^2+216=3x^6+32x^4+62x^2+32\)
\(\Leftrightarrow18x^2+126x^2+216-3x^6-32x^4-68x^2-32=0\)
\(\Leftrightarrow-14x^4+58x^2+184-3x^6=0\)
\(\Leftrightarrow x=\pm2\)
\(\Rightarrow x=\pm2\)
ĐKXĐ: \(x\ne3\)
\(\dfrac{12}{\left|x-3\right|}=\dfrac{6}{7}\)
\(\Leftrightarrow\left|x-3\right|=12:\dfrac{6}{7}\)
\(\Leftrightarrow\left|x-3\right|=14\)
\(\Leftrightarrow x-3=14\) hoặc \(x-3=-14\)
\(\Leftrightarrow x=17\) hoặc \(x=-11\)