6x^2+24x-1710=0

解

6 x^{2} + 24 x - 1710 = 0

x = 15, x = - 19

解答ステップ

6 x^{2} + 24 x - 1710 = 0

解くとthe二次式

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 6 ( - 1710 )}{2 \cdot 6}

2 4^{2} - 4 \cdot 6 (- 1710) = 204

x_{1, 2} = \frac{- 24 \pm 204}{2 \cdot 6}

解を分離する

x_{1} = \frac{- 24 + 204}{2 \cdot 6}, x_{2} = \frac{- 24 - 204}{2 \cdot 6}

x = \frac{- 24 + 204}{2 \cdot 6} : 15

x = \frac{- 24 - 204}{2 \cdot 6} : - 19

二次equationの解:

x = 15, x = - 19