2x^2-16x+24=0

解

2 x^{2} - 16 x + 24 = 0

x = 6, x = 2

解答ステップ

2 x^{2} - 16 x + 24 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 2 \cdot 24}{2 \cdot 2}

(- 16)^{2} - 4 \cdot 2 \cdot 24 = 8

x_{1, 2} = \frac{- ( - 16 ) \pm 8}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 16 ) + 8}{2 \cdot 2}, x_{2} = \frac{- ( - 16 ) - 8}{2 \cdot 2}

x = \frac{- ( - 16 ) + 8}{2 \cdot 2} : 6

x = \frac{- ( - 16 ) - 8}{2 \cdot 2} : 2

二次equationの解:

x = 6, x = 2