(3x)/((x-3)(x-4))=2x+9

解

\frac{3 x}{( x - 3 ) ( x - 4 )} = 2 x + 9

x = \frac{9}{2}, x = - 1 + 13, x = - 1 - 13

十進法表記

x = 4.5, x = 2.60555 \dots, x = - 4.60555 \dots

解答ステップ

\frac{3 x}{( x - 3 ) ( x - 4 )} = 2 x + 9

以下で両辺を乗じる:

(x - 3) (x - 4)

3 x = 2 x (x - 3) (x - 4) + 9 (x - 3) (x - 4)

解く

3 x = 2 x (x - 3) (x - 4) + 9 (x - 3) (x - 4) : x = \frac{9}{2}, x = - 1 + 13, x = - 1 - 13

x = \frac{9}{2}, x = - 1 + 13, x = - 1 - 13

解を検算する

未定義の (特異) 点を求める:

x = 3, x = 4

未定義のポイントを解に組み合わせる:

x = \frac{9}{2}, x = - 1 + 13, x = - 1 - 13