-2x^2+6x+8=0

解

- 2 x^{2} + 6 x + 8 = 0

x = - 1, x = 4

解答ステップ

- 2 x^{2} + 6 x + 8 = 0

解くとthe二次式

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 2 ) \cdot 8}{2 ( - 2 )}

6^{2} - 4 (- 2) \cdot 8 = 10

x_{1, 2} = \frac{- 6 \pm 10}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- 6 + 10}{2 ( - 2 )}, x_{2} = \frac{- 6 - 10}{2 ( - 2 )}

x = \frac{- 6 + 10}{2 ( - 2 )} : - 1

x = \frac{- 6 - 10}{2 ( - 2 )} : 4

二次equationの解:

x = - 1, x = 4