x/(x-2)+5= 2/(xx)

解

\frac{x}{x - 2} + 5 = \frac{2}{xx}

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

十進法表記

x = 0.66666 \dots, x = 1.61803 \dots, x = - 0.61803 \dots

解答ステップ

\frac{x}{x - 2} + 5 = \frac{2}{xx}

LCMで乗じる

x^{3} + 5 x^{2} (x - 2) = 2 (x - 2)

解く

x^{3} + 5 x^{2} (x - 2) = 2 (x - 2) : x = \frac{2}{3}, x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

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

解を検算する

未定義の (特異) 点を求める:

x = 2, x = 0

未定義のポイントを解に組み合わせる:

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