2.5= x/((0.5667-x)(1-x))

解

2.5 = \frac{x}{( 0.5667 - x ) ( 1 - x )}

x = \frac{4.91675 + 10.00693 \dots}{5}, x = \frac{4.91675 - 10.00693 \dots}{5}

十進法表記

x = 1.61602 \dots, x = 0.35067 \dots

解答ステップ

2.5 = \frac{x}{( 0.5667 - x ) ( 1 - x )}

以下で両辺を乗じる:

(0.5667 - x) (1 - x)

2.5 (0.5667 - x) (1 - x) = x

解く

2.5 (0.5667 - x) (1 - x) = x : x = \frac{4.91675 + 10.00693 \dots}{5}, x = \frac{4.91675 - 10.00693 \dots}{5}

x = \frac{4.91675 + 10.00693 \dots}{5}, x = \frac{4.91675 - 10.00693 \dots}{5}

解を検算する

未定義の (特異) 点を求める:

x = 0.5667, x = 1

未定義のポイントを解に組み合わせる:

x = \frac{4.91675 + 10.00693 \dots}{5}, x = \frac{4.91675 - 10.00693 \dots}{5}