tìm x:
x-1/x+5=6/7
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1) \(x:\dfrac{1}{3}=\dfrac{1}{2}+\dfrac{1}{3}\)
\(\Rightarrow3\times x=\dfrac{5}{6}\Rightarrow x=\dfrac{5}{18}\)
2) \(\left(x:\dfrac{2}{3}\right):\dfrac{2}{5}=\dfrac{7}{10}\)
\(\Rightarrow\dfrac{3}{2}\times x=\dfrac{7}{10}\times\dfrac{2}{5}=\dfrac{7}{25}\)
\(\Rightarrow x=\dfrac{7}{25}:\dfrac{3}{2}=\dfrac{14}{75}\)
\(x-\dfrac{1}{4}=\dfrac{-21}{10}\)
\(x=\dfrac{-21}{10}+\dfrac{1}{4}\)
\(x=\dfrac{-42}{20}+\dfrac{5}{20}=\dfrac{-37}{20}\)
Bài 1:
\(=\dfrac{-3-39}{42}+\dfrac{-6-11}{17}-\dfrac{1}{6}=-\dfrac{119}{48}\)
Bài 2:
=>x:5=-13/20
hay x=-65/20=-13/4
Bài 2:
Ta có: \(x\left(x-4\right)-x^2+8=0\)
\(\Leftrightarrow x^2-4x-x^2+8=0\)
\(\Leftrightarrow-4x=-8\)
hay x=2
\(\dfrac{x}{5}=\dfrac{5}{6}-\dfrac{19}{30}\)
\(\Leftrightarrow\dfrac{x}{5}=\dfrac{25}{30}-\dfrac{19}{30}=\dfrac{6}{30}=\dfrac{1}{5}\)
\(\Leftrightarrow x=1\)
Ta có : \(\dfrac{x}{5}=\dfrac{5}{6}+\left(-\dfrac{19}{30}\right)=\dfrac{25}{30}-\dfrac{19}{30}=\dfrac{1}{5}\)
\(\Leftrightarrow5x=5\)
\(\Leftrightarrow x=1\)
Vậy ...
Bài 1:
3/4+5/4=8/4=2
2/3+3/4=8/12+9/12=17/12
1/3+5/7=7/21+15/21=22/21
Bài 2:
a: x-1/2=1/3
nên x=1/3+1/2=5/6
b: x-3/6=5/8
=>x-1/2=5/8
=>x=5/8+1/2=5/8+4/8=9/8
\(\frac{x-1}{x+5}=\frac{6}{7}\)
\(\left(x-1\right)\cdot7=6\cdot\left(x+5\right)\)
\(7x-7=6x+30\)
\(7x-6x=30+7\)
\(x=37\)
x-1/x+5 = 6/7
x+5-6/x+5 = 6/7
x+5/x+5 - 6/x+5 = 6/7
1 - 6/x+5 = 6/7
6/x+5 = 1-6/7 = 1/7
=> x+5 = 6.7 = 42
x = 42-5 = 37
Vậy x=37