Question

Найдите корни уравнений
|х|-21,9=6 шесть целых 2/3
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Answer 1

Ответ:

$|x| - 21.9 = 6 \frac{2}{3} \\ |x| - 21 \frac{9}{10} = 6 \frac{2}{3} \\ 1) \: \: x - 21 \frac{9}{10} = 6 \frac{2}{3} \\ x = 6 \frac{2}{3} + 21 \frac{9}{10} \\ x = 27 \frac{20 + 27}{30} = 27 \frac{47}{30} \\ x = 28 \frac{17}{30} \\ \\ 2) \: \: - x - 21 \frac{9}{10} = 6 \frac{2}{3} \\ - x = 6 \frac{2}{3} + 21 \frac{9}{10} \\ - x = 27 \frac{20 + 27}{30} = 27 \frac{47}{30} \\ - x = 28 \frac{17}{30} \\ x = - 28 \frac{17}{30}$

Answer 2

Ответ:

$x_{1} = 28\dfrac{17}{30}\\\\x_{2} = - 28\dfrac{17}{30}$

Пошаговое объяснение:

$\displaystyle |x| - 21,9 = 6\frac{2}{3} \\\\ |x| - 21\frac{9}{10} = 6\frac{2}{3} \\\\ |x| = 6+ \frac{2}{3} + 21+ \frac{9}{10} \\\\ |x|= 21 + 6 + \frac{2}{3}^{\slash10} + \frac{9}{10}^{\slash3} \\\\ |x| = 27 + \frac{20 + 27 }{30} \\\\ |x| = 27 + \frac{47}{30} = 28\frac{17}{30} \\\\\\ \underline{x_{1,2} = \pm 28\frac{17}{30}~~~~~~~~~~~~}$