2x^2-6x-36=0

解

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

x = 6, x = - 3

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} : 6

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

二次equationの解:

x = 6, x = - 3