6.29x^2+0.66x+0.1089=0

解

6.29 x^{2} + 0.66 x + 0.1089 = 0

x = - \frac{0.66}{12.58} + i \frac{2.304324}{12.58}, x = - \frac{0.66}{12.58} - i \frac{2.304324}{12.58}

解答ステップ

6.29 x^{2} + 0.66 x + 0.1089 = 0

解くとthe二次式

x_{1, 2} = \frac{- 0.66 \pm 0.6 6 ^{2} - 4 \cdot 6.29 \cdot 0.1089}{2 \cdot 6.29}

簡素化

0.6 6^{2} - 4 \cdot 6.29 \cdot 0.1089 : 2.304324 i

x_{1, 2} = \frac{- 0.66 \pm 2.304324 i}{2 \cdot 6.29}

解を分離する

x_{1} = \frac{- 0.66 + 2.304324 i}{2 \cdot 6.29}, x_{2} = \frac{- 0.66 - 2.304324 i}{2 \cdot 6.29}

x = \frac{- 0.66 + 2.304324 i}{2 \cdot 6.29} : - \frac{0.66}{12.58} + i \frac{2.304324}{12.58}

x = \frac{- 0.66 - 2.304324 i}{2 \cdot 6.29} : - \frac{0.66}{12.58} - i \frac{2.304324}{12.58}

二次equationの解:

x = - \frac{0.66}{12.58} + i \frac{2.304324}{12.58}, x = - \frac{0.66}{12.58} - i \frac{2.304324}{12.58}