1/(x-2)+2/(x-3)=5

解

\frac{1}{x - 2} + \frac{2}{x - 3} = 5

x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}

十進法表記

x = 3.46332 \dots, x = 2.13667 \dots

解答ステップ

\frac{1}{x - 2} + \frac{2}{x - 3} = 5

LCMで乗じる

x - 3 + 2 (x - 2) = 5 (x - 2) (x - 3)

解く

x - 3 + 2 (x - 2) = 5 (x - 2) (x - 3) : x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}

x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}

解を検算する

未定義の (特異) 点を求める:

x = 2, x = 3

未定義のポイントを解に組み合わせる:

x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}