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

解

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

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

解答ステップ

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

簡素化

\frac{x}{2 - 1} : x

x = \frac{2}{3 x ^{2}}

以下で両辺を乗じる:

x^{2}

x^{3} = \frac{2}{3}

解く

x^{3} = \frac{2}{3} : x = 3 \frac{2}{3}, x = - 3 \frac{2}{3} \frac{1}{2} + 3 \frac{2}{3} \frac{3}{2} i, x = - 3 \frac{2}{3} \frac{1}{2} - 3 \frac{2}{3} \frac{3}{2} i

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

解を検算する

未定義の (特異) 点を求める:

x = 0

未定義のポイントを解に組み合わせる:

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