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

解

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

x = 19, x = - 19

十進法表記

x = 4.35889 \dots, x = - 4.35889 \dots

解答ステップ

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

LCMで乗じる

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

解く

2 (x + 2) - 3 (x - 3) = (x - 3) (x + 2) : x = 19, x = - 19

x = 19, x = - 19

解を検算する

未定義の (特異) 点を求める:

x = 3, x = - 2

未定義のポイントを解に組み合わせる:

x = 19, x = - 19