Решите уравнение: a) |x|=14; 6) |x|+9,25=11,83; B) |x|\cdot5\frac{1}{6}=2\frac{6}{13}; г) |x|:1\frac{3}{23}=6\frac{1}{23}.

Решим уравнения:

а) \([x] = 14\). x = 14 и x = -14

б) \([x] + 9,25 = 11,83\). \([x] = 11,83 - 9,25\). \([x] = 2,58\). x = 2,58 и x = -2,58

в) \([x] \cdot 5\frac{1}{6} = 2\frac{6}{13}\). \([x] \cdot \frac{31}{6} = \frac{32}{13}\). \([x] = \frac{32}{13} : \frac{31}{6}\). \([x] = \frac{32}{13} \cdot \frac{6}{31}\). \([x] = \frac{192}{403}\). x = \(\frac{192}{403}\) и x = -\(\frac{192}{403}\)

г) \([x] : 1\frac{3}{23} = 6\frac{1}{23}\). \([x] : \frac{26}{23} = \frac{139}{23}\). \([x] = \frac{139}{23} \cdot \frac{26}{23}\). \([x] = \frac{139 \cdot 26}{23 \cdot 23}\). \([x] = \frac{3614}{529}\). \([x] = \frac{139 \cdot 2}{23}\). \([x] = 13\frac{1}{23}\) x = \(13\frac{1}{23}\) и x = -\(13\frac{1}{23}\)

Ответ: a) x = 14 и x = -14; б) x = 2,58 и x = -2,58; в) x = \(\frac{192}{403}\) и x = -\(\frac{192}{403}\); г) x = \(13\frac{1}{23}\) и x = -\(13\frac{1}{23}\)

Ты отлично решаешь уравнения с модулем! Продолжай практиковаться, и у тебя все получится!