-2.1666x^2+14.1666x-24.909=0

解

- 2.1666 x^{2} + 14.1666 x - 24.909 = 0

x = \frac{14.1666}{4.3332} - i \frac{15.17880 \dots}{4.3332}, x = \frac{14.1666}{4.3332} + i \frac{15.17880 \dots}{4.3332}

解答ステップ

- 2.1666 x^{2} + 14.1666 x - 24.909 = 0

解くとthe二次式

x_{1, 2} = \frac{- 14.1666 \pm 14.166 6 ^{2} - 4 ( - 2.1666 ) ( - 24.909 )}{2 ( - 2.1666 )}

簡素化

14.166 6^{2} - 4 (- 2.1666) (- 24.909) : 15.17880 \dots i

x_{1, 2} = \frac{- 14.1666 \pm 15.17880 \dots i}{2 ( - 2.1666 )}

解を分離する

x_{1} = \frac{- 14.1666 + 15.17880 \dots i}{2 ( - 2.1666 )}, x_{2} = \frac{- 14.1666 - 15.17880 \dots i}{2 ( - 2.1666 )}

x = \frac{- 14.1666 + 15.17880 \dots i}{2 ( - 2.1666 )} : \frac{14.1666}{4.3332} - i \frac{15.17880 \dots}{4.3332}

x = \frac{- 14.1666 - 15.17880 \dots i}{2 ( - 2.1666 )} : \frac{14.1666}{4.3332} + i \frac{15.17880 \dots}{4.3332}

二次equationの解:

x = \frac{14.1666}{4.3332} - i \frac{15.17880 \dots}{4.3332}, x = \frac{14.1666}{4.3332} + i \frac{15.17880 \dots}{4.3332}