Question

Решите уравнение пжж, дам 5 звёзд: 3/2-6/13|х|=5/26​

Answer 1

$\frac{3}{2} - \frac{6}{13} |x| = \frac{5}{26} \\ \frac{3}{2} = \frac{5}{26} + \frac{6}{13} |x| \\ \frac{3}{2} = \frac{5}{26} + \frac{12}{26} |x| \\ \frac{3}{2} = \frac{1}{26} \times (5 + 12 |x| ) \\ \frac{3}{2} \div \frac{1}{26} = 5 + 12 |x| \\ \frac{3 \times 26}{2 \times 1} - 5 = 12 |x| \\ 34 = 12 |x| \\ |x| = \frac{34}{12 } = \frac{17}{6} = 2 \frac{5}{6} \\ x1 = 2 \frac{5}{6} \\ x2 = - 2 \frac{5}{6}$