x^2-6x-112=0

解

x^{2} - 6 x - 112 = 0

x = 14, x = - 8

解答ステップ

x^{2} - 6 x - 112 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 112 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 112) = 22

x_{1, 2} = \frac{- ( - 6 ) \pm 22}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 6 ) + 22}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 22}{2 \cdot 1}

x = \frac{- ( - 6 ) + 22}{2 \cdot 1} : 14

x = \frac{- ( - 6 ) - 22}{2 \cdot 1} : - 8

二次equationの解:

x = 14, x = - 8