Основы алгебры Примеры

$14 x + 17 + 7 x = 9 + 21 x + 8$

Этап 1

Добавим $14 x$ и $7 x$ .

$21 x + 17 = 9 + 21 x + 8$

Этап 2

Добавим $9$ и $8$ .

$21 x + 17 = 21 x + 17$

Этап 3

Построим график каждой части уравнения. Решение — абсцисса (координата x) точки пересечения.

$x \approx - 50, - 49.9, - 49.8, - 49.7, - 49.1, - 49, - 48.9, - 48.7, - 48.6, - 48.5, - 48.2, - 48.1, - 48, - 47.8, - 47.7, - 47.5, - 47.4, - 47.3, - 47.1, - 46.9, - 46.8, - 46.7, - 46.6, - 46.3\overline{9}, - 46.1\overline{9}, - 46.0\overline{9}, - 45.8\overline{9}, - 45.7\overline{9}, - 45.5\overline{9}, - 45.4\overline{9}, - 45.3\overline{9}, - 45.2\overline{9}, - 45, - 44.5\overline{9}, - 44.4\overline{9}, - 44.2\overline{9}, - 44.1\overline{9}, - 44.0\overline{9}, - 44, - 43.8\overline{9}, - 43.6\overline{9}, - 43.5\overline{9}, - 43.4\overline{9}, - 43.3\overline{9}, - 43.1\overline{9}, - 43, - 42.8\overline{9}, - 42.6\overline{9}, - 42.5\overline{9}, - 42.3\overline{9}, - 42.2\overline{9}, - 42.1\overline{9}, - 42.0\overline{9}, - 41.7\overline{9}, - 41.6\overline{9}, - 41.5\overline{9}, - 41.3\overline{9}, - 41.2\overline{9}, - 41.1\overline{9}, - 41.0\overline{9}, - 41, - 40.8\overline{9}, - 40.6\overline{9}, - 40.4\overline{9}, - 40.3\overline{9}, - 40.2\overline{9}, - 40.1\overline{9}, - 40, - 39.7\overline{9}, - 39.6\overline{9}, - 39.4\overline{9}, - 39.3\overline{9}, - 39.1\overline{9}, - 39.0\overline{9}, - 39, - 38.5\overline{9}, - 38.4\overline{9}, - 38.3\overline{9}, - 38.1\overline{9}, - 38.0\overline{9}, - 37.8\overline{9}, - 37.7\overline{9}, - 37.6\overline{9}, - 37.4\overline{9}, - 37.2\overline{9}, - 37.1\overline{9}, - 37.0\overline{9}, - 37, - 36.7\overline{9}, - 36.5\overline{9}, - 36.4\overline{9}, - 36.3\overline{9}, - 36.1\overline{9}, - 36.0\overline{9}, - 35.7\overline{9}, - 35.6\overline{9}, - 35.3\overline{9}, - 35.2\overline{9}, - 34.5\overline{9}, - 34.4\overline{9}, - 34.3\overline{9}, - 33.4\overline{9}, - 33.3\overline{9}, - 33.2\overline{9}, - 33.1\overline{9}, - 32.5\overline{9}, - 32.4\overline{9}, - 32.1\overline{9}, - 32.0\overline{9}, - 31.2\overline{9}, - 31.1\overline{9}, - 30.8\overline{9}, - 30.6\overline{9}, - 30.2\overline{9}, - 30.1\overline{9}, - 29.3\overline{9}, - 29.1\overline{9}, - 29, - 28.7\overline{9}, - 28.0\overline{9}, - 28, - 27.6\overline{9}, - 27.5\overline{9}, - 27.0\overline{9}, - 27, - 26.0\overline{9}, - 26, - 25.7\overline{9}, - 25.5\overline{9}, - 24.8\overline{9}, - 24.7\overline{9}, - 24.5\overline{9}, - 24.4\overline{9}, - 24.2\overline{9}, - 24.0\overline{9}, - 24, - 23.7\overline{9}, - 23.6\overline{9}, - 23.4\overline{9}, - 23.3\overline{9}, - 23.2\overline{9}, - 23.0\overline{9}, - 23, - 22.8\overline{9}, - 22.7\overline{9}, - 22.4\overline{9}, - 22.3\overline{9}, - 22.1\overline{9}, - 22, - 21.8\overline{9}, - 21.7\overline{9}, - 21.5\overline{9}, - 21.4\overline{9}, - 21.3\overline{9}, - 21.2\overline{9}, - 21.1\overline{9}, - 20.8\overline{9}, - 20.7\overline{9}, - 20.5\overline{9}, - 20.4\overline{9}, - 20.3\overline{9}, - 20.2\overline{9}, - 20.1\overline{9}, - 20.0\overline{9}, - 20, - 19.7\overline{9}, - 19.6\overline{9}, - 19.5\overline{9}, - 19.3\overline{9}, - 19.1\overline{9}, - 19, - 18.7\overline{9}, - 18.6\overline{9}, - 18.5\overline{9}, - 18.4\overline{9}, - 18.2\overline{9}, - 17.2\overline{9}, - 17.1\overline{9}, - 17.0\overline{9}, - 17, - 16.7\overline{9}, - 16.6\overline{9}, - 15.7\overline{9}, - 15.6\overline{9}, - 15.2\overline{9}, - 15.1\overline{9}, - 15.0\overline{9}, - 15, - 14.8\overline{9}, - 14.7\overline{9}, - 14.3\overline{9}, - 14.2\overline{9}, - 14, - 13.8\overline{9}, - 13.7\overline{9}, - 13.6\overline{9}, - 13.2\overline{9}, - 13.1\overline{9}, - \frac{25}{2}, - \frac{62}{5}, - 12.0\overline{9}, - \frac{59}{5}, - 11.6\overline{9}, - \frac{58}{5}, - \frac{23}{2}, - \frac{57}{5}, - 11.2\overline{9}, - 11.0\overline{9}, - 11, - 10.8\overline{9}, - \frac{54}{5}, - \frac{53}{5}, - \frac{52}{5}, - 10.2\overline{9}, - 9.9, - \frac{49}{5}, - \frac{47}{5}, - 9.3, - \frac{46}{5}, - 9, - 8.9, - 8, - 7.9, - 7.1, - 7, - 6.7, - \frac{33}{5}, - \frac{32}{5}, - 6.3, - 6.1, - 6, - \frac{29}{5}, - \frac{11}{2}, - \frac{26}{5}, - 5.1, - 5, - 4.7, - \frac{9}{2}, - \frac{22}{5}, - 4.3, - \frac{17}{5}, - 3.3, - \frac{16}{5}, - 3.1, - 3, - \frac{14}{5}, - 2.7, - \frac{5}{2}, - \frac{12}{5}, - 2.3, - 2, - 1.9, - 1.7, - \frac{8}{5}, - \frac{3}{2}, - \frac{7}{5}, - 1, - 0.9, - \frac{4}{5}, - 0.7, - \frac{3}{5}, - \frac{1}{2}, - \frac{2}{5}, - 0.3, - \frac{1}{5}, - 0.1, 0, 0.1, \frac{1}{5}, 0.3, \frac{2}{5}, \frac{1}{2}, 0.7, 0.9, 1, 1.1, \frac{6}{5}, 1.3, \frac{7}{5}, \frac{3}{2}, 1.7, \frac{9}{5}, 1.9, 2, 2.3, \frac{12}{5}, \frac{5}{2}, \frac{13}{5}, 2.7, \frac{14}{5}, 2.9, 3, \frac{16}{5}, 3.3, \frac{17}{5}, \frac{7}{2}, 3.7, \frac{19}{5}, 3.9, 4, 4.3, \frac{22}{5}, \frac{9}{2}, \frac{24}{5}, 5.1, \frac{27}{5}, \frac{28}{5}, 6, 6.1, \frac{33}{5}, 6.7, 6.9, 7, 7.9, 8, 8.1, \frac{41}{5}, 8.3, 8.9, 9.1, 9.3, 9.7, \frac{49}{5}, 10, 10.3, \frac{21}{2}, \frac{53}{5}, 11, 11.1, 11.3, \frac{57}{5}, 12.2, 12.8, 12.9, 13, 13.3, 13.4, \frac{27}{2}, 13.6, 13.7, 13.8, 13.9, 14.3, 14.4, 14.7, 14.8, 14.9, 15, 15.4, \frac{31}{2}, 16.3, 16.4, 16.8, 16.9, 17.1, 17.2, 17.3, 17.4, 17.7, 17.8, 18, 18.1, 18.2, 18.4, 18.6, 18.7, 18.8, 19.3, 19.4, 19.6, 19.8, 19.9, 20, 20.2, 20.3, 20.9, 21, 21.1, 21.3, 21.5, 21.6, 21.7, 21.8, 21.9, 22, 22.5, 22.8, 22.9, 23, 23.1, 23.2, 23.4, 23.5, 23.6, 23.9, 24, 24.2, 24.3, 24.4, 24.5, 24.6, 24.8, 25.7, 25.9, 26.1, 26.2, 26.6, 26.7, 27.1, 27.2, 27.6, 27.8, 28, 28.9, 29, 29.3, 29.4, 29.5, 29.6, 29.7, 30.1, 30.2, 30.3, 30.4, 30.8, 31, 31.2, 32.2, 32.3, 32.4, 33.3, 33.4, 33.5, 33.6, 34.2, 34.3, 34.6, 34.7, 35.4, 35.5, 35.7, 35.9, 36, 36.1, 36.2, 36.4, 36.6, 36.7, 36.9, 37, 37.2, 37.3, 37.4, 37.5, 37.8, 37.9, 38, 38.2, 38.3, 38.5, 38.6, 38.7, 38.9, 39.1, 39.2, 39.3, 39.4, 39.6, 39.8, 39.9, 40.1, 40.2, 40.4, 40.5, 40.6, 40.7, 41, 41.1, 41.3, 41.4, 41.5, 41.7, 41.8, 41.9, 42.1, 42.3, 42.4, 42.5, 42.6, 42.8, 43, 43.1, 43.3, 43.4, 43.6, 43.7, 43.8, 43.9, 44.2, 44.3, 44.4, 44.6, 44.7, 44.9, 45, 45.1, 45.3, 45.5, 45.6, 45.7, 45.8, 46, 46.2, 46.3, 46.5, 46.6, 46.7, 46.8, 47, 47.1, 47.4, 47.5, 47.6, 47.8, 47.9, 48.1, 48.2, 48.3, 48.5, 48.6, 48.7, 48.8, 48.9, 49, 49.1, 49.2, 49.3, 49.6, 49.7$

Этап 4