s^2+1000s+1000000=0

解

s^{2} + 1000 s + 1000000 = 0

s = - 500 + 5003 i, s = - 500 - 5003 i

解答ステップ

s^{2} + 1000 s + 1000000 = 0

解くとthe二次式

s_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 1 \cdot 1000000}{2 \cdot 1}

簡素化

100 0^{2} - 4 \cdot 1 \cdot 1000000 : 10003 i

s_{1, 2} = \frac{- 1000 \pm 1000 3 i}{2 \cdot 1}

解を分離する

s_{1} = \frac{- 1000 + 1000 3 i}{2 \cdot 1}, s_{2} = \frac{- 1000 - 1000 3 i}{2 \cdot 1}

s = \frac{- 1000 + 1000 3 i}{2 \cdot 1} : - 500 + 5003 i

s = \frac{- 1000 - 1000 3 i}{2 \cdot 1} : - 500 - 5003 i

二次equationの解:

s = - 500 + 5003 i, s = - 500 - 5003 i