3x^2+6x-24=0

解

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

x = 2, x = - 4

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} : 2

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

二次equationの解:

x = 2, x = - 4