3x^2-6x-24=0

解

3 x^{2} - 6 x - 24 = 0

x = 4, x = - 2

解答ステップ

3 x^{2} - 6 x - 24 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 ( - 24 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 24) = 18

x_{1, 2} = \frac{- ( - 6 ) \pm 18}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 6 ) + 18}{2 \cdot 3}, x_{2} = \frac{- ( - 6 ) - 18}{2 \cdot 3}

x = \frac{- ( - 6 ) + 18}{2 \cdot 3} : 4

x = \frac{- ( - 6 ) - 18}{2 \cdot 3} : - 2

二次equationの解:

x = 4, x = - 2