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

解

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

x = 3, x = - 3

十進法表記

x = 1.73205 \dots, x = - 1.73205 \dots

解答ステップ

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

たすき掛け

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

解く

(2 x - 3) (x - 1) = (x - 3) (x - 2) : x = 3, x = - 3

x = 3, x = - 3

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 = 3, x = - 3