代数例

$| x - 3 | = 3 - x$

ステップ 1

方程式の各辺をグラフにします。解は交点のx値です。

$x \approx - 32, - 31.8\overline{9}, - 31.7\overline{9}, - 31.6\overline{9}, - 31.5\overline{9}, - 31.4\overline{9}, - 31.3\overline{9}, - 31.2\overline{9}, - 31.1\overline{9}, - 31.0\overline{9}, - 31, - 30.8\overline{9}, - 30.7\overline{9}, - 30.4\overline{9}, - 30.1\overline{9}, - 30.0\overline{9}, - 30, - 29.8\overline{9}, - 29.7\overline{9}, - 29.6\overline{9}, - 29.5\overline{9}, - 29.4\overline{9}, - 29.3\overline{9}, - 29.2\overline{9}, - 29.1\overline{9}, - 29.0\overline{9}, - 15.8\overline{9}, - 15.6\overline{9}, - 15.5\overline{9}, - \frac{31}{2}, - 15.3\overline{9}, - 15.1\overline{9}, - 15, - 14.8\overline{9}, - 14.7\overline{9}, - 14.5\overline{9}, - \frac{29}{2}, - 14.3\overline{9}, - 14.2\overline{9}, - 14.0\overline{9}, - 14, - 13.8\overline{9}, - 13.7\overline{9}, - 13.6\overline{9}, - \frac{27}{2}, - 13.3\overline{9}, - 13.2\overline{9}, - 13.1\overline{9}, - 13, - \frac{37}{5}, - \frac{36}{5}, - 4, - \frac{19}{5}, - \frac{18}{5}, - \frac{17}{5}, - 3.3, - \frac{16}{5}, - 3, - 2.9, - \frac{14}{5}, - \frac{13}{5}, - \frac{5}{2}, - \frac{12}{5}, - \frac{11}{5}, - 2.1, - 2, - \frac{9}{5}, - 1.7, - \frac{8}{5}, - \frac{7}{5}, - 1.3, - \frac{6}{5}, - 1, - \frac{4}{5}, - \frac{3}{5}, - \frac{2}{5}, - \frac{1}{5}, - 0.1, 0, 0.3, \frac{1}{2}, \frac{4}{5}, 0.9, 1$

ステップ 2

結果は複数の形で表すことができます。

完全形：

10進法形式：

$x \approx - 32, - 31.8\overline{9}, - 31.7\overline{9}, - 31.6\overline{9}, - 31.5\overline{9}, - 31.4\overline{9}, - 31.3\overline{9}, - 31.2\overline{9}, - 31.1\overline{9}, - 31.0\overline{9}, - 31, - 30.8\overline{9}, - 30.7\overline{9}, - 30.4\overline{9}, - 30.1\overline{9}, - 30.0\overline{9}, - 30, - 29.8\overline{9}, - 29.7\overline{9}, - 29.6\overline{9}, - 29.5\overline{9}, - 29.4\overline{9}, - 29.3\overline{9}, - 29.2\overline{9}, - 29.1\overline{9}, - 29.0\overline{9}, - 15.8\overline{9}, - 15.6\overline{9}, - 15.5\overline{9}, - 15.5, - 15.3\overline{9}, - 15.1\overline{9}, - 15, - 14.8\overline{9}, - 14.7\overline{9}, - 14.5\overline{9}, - 14.5, - 14.3\overline{9}, - 14.2\overline{9}, - 14.0\overline{9}, - 14, - 13.8\overline{9}, - 13.7\overline{9}, - 13.6\overline{9}, - 13.5, - 13.3\overline{9}, - 13.2\overline{9}, - 13.1\overline{9}, - 13, - 7.4, - 7.2, - 4, - 3.8, - 3.6, - 3.4, - 3.3, - 3.2, - 3, - 2.9, - 2.8, - 2.6, - 2.5, - 2.4, - 2.2, - 2.1, - 2, - 1.8, - 1.7, - 1.6, - 1.4, - 1.3, - 1.2, - 1, - 0.8, - 0.6, - 0.4, - 0.2, - 0.1, 0, 0.3, 0.5, 0.8, 0.9, 1$

帯分数形：

$x \approx - 32, - 31.8\overline{9}, - 31.7\overline{9}, - 31.6\overline{9}, - 31.5\overline{9}, - 31.4\overline{9}, - 31.3\overline{9}, - 31.2\overline{9}, - 31.1\overline{9}, - 31.0\overline{9}, - 31, - 30.8\overline{9}, - 30.7\overline{9}, - 30.4\overline{9}, - 30.1\overline{9}, - 30.0\overline{9}, - 30, - 29.8\overline{9}, - 29.7\overline{9}, - 29.6\overline{9}, - 29.5\overline{9}, - 29.4\overline{9}, - 29.3\overline{9}, - 29.2\overline{9}, - 29.1\overline{9}, - 29.0\overline{9}, - 15.8\overline{9}, - 15.6\overline{9}, - 15.5\overline{9}, - 15 \frac{1}{2}, - 15.3\overline{9}, - 15.1\overline{9}, - 15, - 14.8\overline{9}, - 14.7\overline{9}, - 14.5\overline{9}, - 14 \frac{1}{2}, - 14.3\overline{9}, - 14.2\overline{9}, - 14.0\overline{9}, - 14, - 13.8\overline{9}, - 13.7\overline{9}, - 13.6\overline{9}, - 13 \frac{1}{2}, - 13.3\overline{9}, - 13.2\overline{9}, - 13.1\overline{9}, - 13, - 7 \frac{2}{5}, - 7 \frac{1}{5}, - 4, - 3 \frac{4}{5}, - 3 \frac{3}{5}, - 3 \frac{2}{5}, - 3.3, - 3 \frac{1}{5}, - 3, - 2.9, - 2 \frac{4}{5}, - 2 \frac{3}{5}, - 2 \frac{1}{2}, - 2 \frac{2}{5}, - 2 \frac{1}{5}, - 2.1, - 2, - 1 \frac{4}{5}, - 1.7, - 1 \frac{3}{5}, - 1 \frac{2}{5}, - 1.3, - 1 \frac{1}{5}, - 1, - \frac{4}{5}, - \frac{3}{5}, - \frac{2}{5}, - \frac{1}{5}, - 0.1, 0, 0.3, \frac{1}{2}, \frac{4}{5}, 0.9, 1$

ステップ 3

代数 例

代数例