-2x^2-2x+24=0

解

- 2 x^{2} - 2 x + 24 = 0

x = - 4, x = 3

解答ステップ

- 2 x^{2} - 2 x + 24 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 ( - 2 ) \cdot 24}{2 ( - 2 )}

(- 2)^{2} - 4 (- 2) \cdot 24 = 14

x_{1, 2} = \frac{- ( - 2 ) \pm 14}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - 2 ) + 14}{2 ( - 2 )}, x_{2} = \frac{- ( - 2 ) - 14}{2 ( - 2 )}

x = \frac{- ( - 2 ) + 14}{2 ( - 2 )} : - 4

x = \frac{- ( - 2 ) - 14}{2 ( - 2 )} : 3

二次equationの解:

x = - 4, x = 3