quadraticformula-4x^2+40x-120=0

解

- 4 x^{2} + 40 x - 120 = 0

x = 5 - 5 i, x = 5 + 5 i

解答ステップ

- 4 x^{2} + 40 x - 120 = 0

解くとthe二次式

x_{1, 2} = \frac{- 40 \pm 4 0 ^{2} - 4 ( - 4 ) ( - 120 )}{2 ( - 4 )}

簡素化

4 0^{2} - 4 (- 4) (- 120) : 85 i

x_{1, 2} = \frac{- 40 \pm 8 5 i}{2 ( - 4 )}

解を分離する

x_{1} = \frac{- 40 + 8 5 i}{2 ( - 4 )}, x_{2} = \frac{- 40 - 8 5 i}{2 ( - 4 )}

x = \frac{- 40 + 8 5 i}{2 ( - 4 )} : 5 - 5 i

x = \frac{- 40 - 8 5 i}{2 ( - 4 )} : 5 + 5 i

二次equationの解:

x = 5 - 5 i, x = 5 + 5 i