-2x^2+4x+6=0

解

- 2 x^{2} + 4 x + 6 = 0

x = - 1, x = 3

解答ステップ

- 2 x^{2} + 4 x + 6 = 0

解くとthe二次式

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

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

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

解を分離する

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

x = \frac{- 4 + 8}{2 ( - 2 )} : - 1

x = \frac{- 4 - 8}{2 ( - 2 )} : 3

二次equationの解:

x = - 1, x = 3