x/(1+x^2)=-0.6289024

解

\frac{x}{1 + x ^{2}} = - 0.6289024

x = - \frac{1}{1.2578048} - i \frac{0.58207 \dots}{1.2578048}, x = - \frac{1}{1.2578048} + i \frac{0.58207 \dots}{1.2578048}

解答ステップ

\frac{x}{1 + x ^{2}} = - 0.6289024

以下で両辺を乗じる:

1 + x^{2}

x = - 0.6289024 (1 + x^{2})

解く

x = - 0.6289024 (1 + x^{2}) : x = - \frac{1}{1.2578048} - i \frac{0.58207 \dots}{1.2578048}, x = - \frac{1}{1.2578048} + i \frac{0.58207 \dots}{1.2578048}

x = - \frac{1}{1.2578048} - i \frac{0.58207 \dots}{1.2578048}, x = - \frac{1}{1.2578048} + i \frac{0.58207 \dots}{1.2578048}