235x^2+0.2756x+0.08544=0

解

235 x^{2} + 0.2756 x + 0.08544 = 0

x = - \frac{0.2756}{470} + i \frac{80.23764 \dots}{470}, x = - \frac{0.2756}{470} - i \frac{80.23764 \dots}{470}

解答ステップ

235 x^{2} + 0.2756 x + 0.08544 = 0

解くとthe二次式

x_{1, 2} = \frac{- 0.2756 \pm 0.275 6 ^{2} - 4 \cdot 235 \cdot 0.08544}{2 \cdot 235}

簡素化

0.275 6^{2} - 4 \cdot 235 \cdot 0.08544 : 80.23764 \dots i

x_{1, 2} = \frac{- 0.2756 \pm 80.23764 \dots i}{2 \cdot 235}

解を分離する

x_{1} = \frac{- 0.2756 + 80.23764 \dots i}{2 \cdot 235}, x_{2} = \frac{- 0.2756 - 80.23764 \dots i}{2 \cdot 235}

x = \frac{- 0.2756 + 80.23764 \dots i}{2 \cdot 235} : - \frac{0.2756}{470} + i \frac{80.23764 \dots}{470}

x = \frac{- 0.2756 - 80.23764 \dots i}{2 \cdot 235} : - \frac{0.2756}{470} - i \frac{80.23764 \dots}{470}

二次equationの解:

x = - \frac{0.2756}{470} + i \frac{80.23764 \dots}{470}, x = - \frac{0.2756}{470} - i \frac{80.23764 \dots}{470}