5/(x-2)=7-(10)/(x+2)

解

\frac{5}{x - 2} = 7 - \frac{10}{x + 2}

x = 3, x = - \frac{6}{7}

十進法表記

x = 3, x = - 0.85714 \dots

解答ステップ

\frac{5}{x - 2} = 7 - \frac{10}{x + 2}

LCMで乗じる

5 (x + 2) = 7 (x - 2) (x + 2) - 10 (x - 2)

解く

5 (x + 2) = 7 (x - 2) (x + 2) - 10 (x - 2) : x = 3, x = - \frac{6}{7}

x = 3, x = - \frac{6}{7}

解を検算する

未定義の (特異) 点を求める:

x = 2, x = - 2

未定義のポイントを解に組み合わせる:

x = 3, x = - \frac{6}{7}