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

解

\frac{4}{x - 2} + \frac{1}{x + 3} = 5

x = 22, x = - 22

十進法表記

x = 2.82842 \dots, x = - 2.82842 \dots

解答ステップ

\frac{4}{x - 2} + \frac{1}{x + 3} = 5

LCMで乗じる

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

解く

4 (x + 3) + x - 2 = 5 (x - 2) (x + 3) : x = 22, x = - 22

x = 22, x = - 22

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 = 22, x = - 22