2x^2-4x-6=0

解

2 x^{2} - 4 x - 6 = 0

x = 3, x = - 1

解答ステップ

2 x^{2} - 4 x - 6 = 0

解くとthe二次式

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

(- 4)^{2} - 4 \cdot 2 (- 6) = 8

x_{1, 2} = \frac{- ( - 4 ) \pm 8}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 4 ) + 8}{2 \cdot 2}, x_{2} = \frac{- ( - 4 ) - 8}{2 \cdot 2}

x = \frac{- ( - 4 ) + 8}{2 \cdot 2} : 3

x = \frac{- ( - 4 ) - 8}{2 \cdot 2} : - 1

二次equationの解:

x = 3, x = - 1