2x^2-14x-60=0

解

2 x^{2} - 14 x - 60 = 0

x = 10, x = - 3

解答ステップ

2 x^{2} - 14 x - 60 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 2 ( - 60 )}{2 \cdot 2}

(- 14)^{2} - 4 \cdot 2 (- 60) = 26

x_{1, 2} = \frac{- ( - 14 ) \pm 26}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 14 ) + 26}{2 \cdot 2}, x_{2} = \frac{- ( - 14 ) - 26}{2 \cdot 2}

x = \frac{- ( - 14 ) + 26}{2 \cdot 2} : 10

x = \frac{- ( - 14 ) - 26}{2 \cdot 2} : - 3

二次equationの解:

x = 10, x = - 3