z^2-0.3063z+0.4317=0

解

z^{2} - 0.3063 z + 0.4317 = 0

z = \frac{0.3063}{2} + i \frac{1.63298031}{2}, z = \frac{0.3063}{2} - i \frac{1.63298031}{2}

解答ステップ

z^{2} - 0.3063 z + 0.4317 = 0

解くとthe二次式

z_{1, 2} = \frac{- ( - 0.3063 ) \pm ( - 0.3063 ) ^{2} - 4 \cdot 1 \cdot 0.4317}{2 \cdot 1}

簡素化

(- 0.3063)^{2} - 4 \cdot 1 \cdot 0.4317 : 1.63298031 i

z_{1, 2} = \frac{- ( - 0.3063 ) \pm 1.63298031 i}{2 \cdot 1}

解を分離する

z_{1} = \frac{- ( - 0.3063 ) + 1.63298031 i}{2 \cdot 1}, z_{2} = \frac{- ( - 0.3063 ) - 1.63298031 i}{2 \cdot 1}

z = \frac{- ( - 0.3063 ) + 1.63298031 i}{2 \cdot 1} : \frac{0.3063}{2} + i \frac{1.63298031}{2}

z = \frac{- ( - 0.3063 ) - 1.63298031 i}{2 \cdot 1} : \frac{0.3063}{2} - i \frac{1.63298031}{2}

二次equationの解:

z = \frac{0.3063}{2} + i \frac{1.63298031}{2}, z = \frac{0.3063}{2} - i \frac{1.63298031}{2}