3/(x-7)+4/(x+2)=1

解

\frac{3}{x - 7} + \frac{4}{x + 2} = 1

x = 2 (3 + 7), x = 2 (3 - 7)

十進法表記

x = 11.29150 \dots, x = 0.70849 \dots

解答ステップ

\frac{3}{x - 7} + \frac{4}{x + 2} = 1

LCMで乗じる

3 (x + 2) + 4 (x - 7) = (x - 7) (x + 2)

解く

3 (x + 2) + 4 (x - 7) = (x - 7) (x + 2) : x = 2 (3 + 7), x = 2 (3 - 7)

x = 2 (3 + 7), x = 2 (3 - 7)

解を検算する

未定義の (特異) 点を求める:

x = 7, x = - 2

未定義のポイントを解に組み合わせる:

x = 2 (3 + 7), x = 2 (3 - 7)