-2x^2-10x+12=0

解

- 2 x^{2} - 10 x + 12 = 0

x = - 6, x = 1

解答ステップ

- 2 x^{2} - 10 x + 12 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 ( - 2 ) \cdot 12}{2 ( - 2 )}

(- 10)^{2} - 4 (- 2) \cdot 12 = 14

x_{1, 2} = \frac{- ( - 10 ) \pm 14}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - 10 ) + 14}{2 ( - 2 )}, x_{2} = \frac{- ( - 10 ) - 14}{2 ( - 2 )}

x = \frac{- ( - 10 ) + 14}{2 ( - 2 )} : - 6

x = \frac{- ( - 10 ) - 14}{2 ( - 2 )} : 1

二次equationの解:

x = - 6, x = 1