Question

care este solutia ecuatiei [2x+5/3]=1.​

Answer 1

$\displaystyle\bf\\Folosim~:~~\boxed{\bf [a]\leq a< [a]+1}~.\\\\\Bigg [ \frac{2x+5}{3} \Bigg ] =1,~folosim~ce~am~scris~mai~sus.\\\\\Bigg [ \frac{2x+5}{3} \Bigg ] \leq \frac{2x+5}{3} < \Bigg [ \frac{2x+5}{3} \Bigg ] +1 \Leftrightarrow 1 \leq \frac{2x+5}{3} < 2~\Bigg | \cdot 3 \implies \\3\leq 2x+5 <6~\Bigg | -5 \Leftrightarrow -2 \leq 2x < 1~\Bigg | :2 \Leftrightarrow\\-1\leq x<\frac{1}{2},~deci~x\in \Bigg[-1,\frac{1}{2} \Bigg )$