6/(x+3)+2/(x+1)=1

解

\frac{6}{x + 3} + \frac{2}{x + 1} = 1

x = 2 + 13, x = 2 - 13

十進法表記

x = 5.60555 \dots, x = - 1.60555 \dots

解答ステップ

\frac{6}{x + 3} + \frac{2}{x + 1} = 1

LCMで乗じる

6 (x + 1) + 2 (x + 3) = (x + 3) (x + 1)

解く

6 (x + 1) + 2 (x + 3) = (x + 3) (x + 1) : x = 2 + 13, x = 2 - 13

x = 2 + 13, x = 2 - 13

解を検算する

未定義の (特異) 点を求める:

x = - 3, x = - 1

未定義のポイントを解に組み合わせる:

x = 2 + 13, x = 2 - 13