-5x^2+100x-680=0

解

- 5 x^{2} + 100 x - 680 = 0

x = 10 - 6 i, x = 10 + 6 i

解答ステップ

- 5 x^{2} + 100 x - 680 = 0

解くとthe二次式

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 5 ) ( - 680 )}{2 ( - 5 )}

簡素化

10 0^{2} - 4 (- 5) (- 680) : 60 i

x_{1, 2} = \frac{- 100 \pm 60 i}{2 ( - 5 )}

解を分離する

x_{1} = \frac{- 100 + 60 i}{2 ( - 5 )}, x_{2} = \frac{- 100 - 60 i}{2 ( - 5 )}

x = \frac{- 100 + 60 i}{2 ( - 5 )} : 10 - 6 i

x = \frac{- 100 - 60 i}{2 ( - 5 )} : 10 + 6 i

二次equationの解:

x = 10 - 6 i, x = 10 + 6 i