2x^2-14x+24=0

解

2 x^{2} - 14 x + 24 = 0

x = 4, x = 3

解答ステップ

2 x^{2} - 14 x + 24 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 2 \cdot 24}{2 \cdot 2}

(- 14)^{2} - 4 \cdot 2 \cdot 24 = 2

x_{1, 2} = \frac{- ( - 14 ) \pm 2}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 14 ) + 2}{2 \cdot 2}, x_{2} = \frac{- ( - 14 ) - 2}{2 \cdot 2}

x = \frac{- ( - 14 ) + 2}{2 \cdot 2} : 4

x = \frac{- ( - 14 ) - 2}{2 \cdot 2} : 3

二次equationの解:

x = 4, x = 3