Tìm x, biết: câu 1) 5/2x -3/4 =1/4                                            câu 2) (x+4) / 20 = 5/ (x+4)

1) \[\frac{5}{2}x - \frac{3}{4} = \frac{1}{4} \Leftrightarrow \,\,\frac{5}{2}x = \frac{1}{4} + \frac{3}{4}\]

\[ \Leftrightarrow \,\frac{5}{2}x = 1 \Leftrightarrow \,x = 1:\frac{5}{2} \Leftrightarrow \,x = \frac{2}{5}\]

2) \[\frac{{x + 4}}{{20}} = \frac{5}{{x + 4}} \Leftrightarrow \,\,(x + 4)(x + 4) = 5\,.\,20\]

\[ \Leftrightarrow \,{(x + 4)^2} = 100\]

\[\, \Leftrightarrow \,\,\left[ \begin{array}{l}x + 4 = 10\\x + 4 = - 10\end{array} \right. \Leftrightarrow \,\,\left[ \begin{array}{l}x = 6\\x = - 14\end{array} \right.\]

Vậy \[x \in \left\{ {6;\,\, - 14} \right\}\].