2x^2+6x-36=0

解

2 x^{2} + 6 x - 36 = 0

x = 3, x = - 6

解答ステップ

2 x^{2} + 6 x - 36 = 0

解くとthe二次式

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 2 ( - 36 )}{2 \cdot 2}

6^{2} - 4 \cdot 2 (- 36) = 18

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

解を分離する

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

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

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

二次equationの解:

x = 3, x = - 6