6/(x-2)-2/(x+2)=1

解

\frac{6}{x - 2} - \frac{2}{x + 2} = 1

x = 2 (1 + 6), x = 2 (1 - 6)

十進法表記

x = 6.89897 \dots, x = - 2.89897 \dots

解答ステップ

\frac{6}{x - 2} - \frac{2}{x + 2} = 1

LCMで乗じる

6 (x + 2) - 2 (x - 2) = (x - 2) (x + 2)

解く

6 (x + 2) - 2 (x - 2) = (x - 2) (x + 2) : x = 2 (1 + 6), x = 2 (1 - 6)

x = 2 (1 + 6), x = 2 (1 - 6)

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 = 2 (1 + 6), x = 2 (1 - 6)