3x+1+/x-3/=22
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\(-\frac{1}{10}+\frac{2}{5}x+\frac{7}{20}=\frac{1}{10}\)
\(-\frac{1}{10}+\frac{2}{5}x=\frac{1}{10}-\frac{7}{20}\)
\(\frac{2}{5}x=\frac{-1}{4}+\frac{1}{10}\)
\(\frac{2}{5}x=\frac{-3}{20}\)
\(x=\frac{-3}{20}:\frac{2}{5}\)
\(x=\frac{-3}{8}\)
Vậy x = \(\frac{-3}{8}\)
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\(3\left(5x+\frac{2}{3}\right)^2=\frac{4}{3}\)
\(\left(5x+\frac{2}{3}\right)^2=\frac{4}{9}\)
\(25x^2+2.5x.\frac{2}{3}+\frac{4}{9}=\frac{4}{9}\)
\(25x^2\frac{20}{3}x=0\)
\(x\left(25x+\frac{20}{3}\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\25x+\frac{20}{3}=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=\frac{-4}{15}\end{cases}}\)
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\(\left(13\frac{9}{11}\div\frac{38}{49}-5\frac{2}{11}\div\frac{38}{49}\right)\div\left(\frac{49}{38}.\frac{5}{11}\right)\)
\(=\left(\frac{152}{11}\div\frac{38}{49}-\frac{57}{11}\div\frac{38}{49}\right)\div\frac{245}{418}\)
\(=\left(\frac{196}{11}-\frac{147}{22}\right)\div\frac{245}{418}\)
\(=\frac{245}{22}\div\frac{245}{418}\)
\(=19\)
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tìm n nguyên để biểu thức nguyên ?
\(\frac{5n+1}{2n-3}=\frac{10n+2}{2n-3}=\frac{5\left(2n-3\right)+17}{2n-3}=\frac{17}{2n-3}\)
\(\Rightarrow2n-3\inƯ\left(17\right)=\left\{\pm1;\pm17\right\}\)
2n - 3 | 1 | -1 | 17 | -17 |
2n | 4 | 2 | 20 | -14 |
n | 2 | 1 | 10 | -7 |
\(3x+1+\left|x-3\right|=22\Leftrightarrow\left|x-3\right|=21-3x\)
ĐK : \(21-3x\ge0\Leftrightarrow-3x\ge-21\Leftrightarrow x\le7\)
TH1 : \(x-3=21-3x\Leftrightarrow-4x=-24\Leftrightarrow x=6\)( tm )
TH2 : \(x-3=3x-21\Leftrightarrow2x=18\Leftrightarrow x=9\)( ktm )