12x^2-12x-24=0

解

12 x^{2} - 12 x - 24 = 0

x = 2, x = - 1

解答ステップ

12 x^{2} - 12 x - 24 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 12 ( - 24 )}{2 \cdot 12}

(- 12)^{2} - 4 \cdot 12 (- 24) = 36

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

解を分離する

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

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

x = \frac{- ( - 12 ) - 36}{2 \cdot 12} : - 1

二次equationの解:

x = 2, x = - 1