6x^2-12x-18=0

解

6 x^{2} - 12 x - 18 = 0

x = 3, x = - 1

解答ステップ

6 x^{2} - 12 x - 18 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 6 ( - 18 )}{2 \cdot 6}

(- 12)^{2} - 4 \cdot 6 (- 18) = 24

x_{1, 2} = \frac{- ( - 12 ) \pm 24}{2 \cdot 6}

解を分離する

x_{1} = \frac{- ( - 12 ) + 24}{2 \cdot 6}, x_{2} = \frac{- ( - 12 ) - 24}{2 \cdot 6}

x = \frac{- ( - 12 ) + 24}{2 \cdot 6} : 3

x = \frac{- ( - 12 ) - 24}{2 \cdot 6} : - 1

二次equationの解:

x = 3, x = - 1