x^2+100x+50000=0

解

x^{2} + 100 x + 50000 = 0

x = - 50 + 5019 i, x = - 50 - 5019 i

解答ステップ

x^{2} + 100 x + 50000 = 0

解くとthe二次式

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 1 \cdot 50000}{2 \cdot 1}

簡素化

10 0^{2} - 4 \cdot 1 \cdot 50000 : 10019 i

x_{1, 2} = \frac{- 100 \pm 100 19 i}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 100 + 100 19 i}{2 \cdot 1}, x_{2} = \frac{- 100 - 100 19 i}{2 \cdot 1}

x = \frac{- 100 + 100 19 i}{2 \cdot 1} : - 50 + 5019 i

x = \frac{- 100 - 100 19 i}{2 \cdot 1} : - 50 - 5019 i

二次equationの解:

x = - 50 + 5019 i, x = - 50 - 5019 i