-6x^2-12x+48=0

解

- 6 x^{2} - 12 x + 48 = 0

x = - 4, x = 2

解答ステップ

- 6 x^{2} - 12 x + 48 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 ( - 6 ) \cdot 48}{2 ( - 6 )}

(- 12)^{2} - 4 (- 6) \cdot 48 = 36

x_{1, 2} = \frac{- ( - 12 ) \pm 36}{2 ( - 6 )}

解を分離する

x_{1} = \frac{- ( - 12 ) + 36}{2 ( - 6 )}, x_{2} = \frac{- ( - 12 ) - 36}{2 ( - 6 )}

x = \frac{- ( - 12 ) + 36}{2 ( - 6 )} : - 4

x = \frac{- ( - 12 ) - 36}{2 ( - 6 )} : 2

二次equationの解:

x = - 4, x = 2